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We study the phase structure of QCD at finite temperature within a Polyakov-loop extended quark–meson model. Such a model describes the chiral as well as the confinement-deconfinement dynamics. In the present investigation, based on the approach and results put forward in [1], [2], [3], [4], both matter and glue fluctuations are included. We present results for the order parameters as well as some thermodynamic observables and find very good agreement with recent results from lattice QCD.
Die vorliegende Arbeit beschäftigt sich mit den Tieftemperatureigenschaften dreier niedrigdimensionaler Spinsysteme. Der experimentelle Schwerpunkt liegt auf Messungen zur thermischen Ausdehnung und zur spezifischen Wärme, die mit einem hochauflösenden kapazitiven Dilatometer bzw. einem AC-Kalorimetrie-Aufbau durchgeführt wurden. Da die sogenannten magnetischen Grüneisenparameter, die die Stärke der Kopplung des magnetischen Teilsystems ans Gitter beschreiben, durchweg sehr groß sind, liefern insbesondere die thermischen Ausdehnungsmessungen wertvolle Informationen zum Verständnis der behandelten Systeme. Das zentrale Ergebnis dieser Arbeit stellen Messungen an der Hochdruckphase von (VO)2P2O7, kurz HP-VOPO, dar. Dieses System besteht aus alternierenden Spinketten, wobei die beiden Austauschkonstanten ähnliche Werte haben, das heißt es liegt nur eine schwache Alternierung vor. In der thermischen Ausdehnung beobachtet man eine insbesondere in Kettenrichtung sehr ausgeprägte Anomalie bei etwa 13 K. Die Erklärung dieser Anomalie offenbart einen neuartigen Aspekt von alternierenden Spinketten mit schwacher Alternierung, der auf dem Vorhandensein von zwei deutlich verschiedenen Energieskalen beruht, zum einen der größeren der beiden Austauschkonstanten und zum anderen der Energielücke im System. Eine sehr gute quantitative Beschreibung der thermischen Ausdehnungsmessungen gelingt durch eine Erweiterung des herkömmlichen Grüneisenmodells, welches eine Proportionalität zwischen den magnetischen Beiträgen zur thermischen Ausdehnung und zur spezifischen Wärme vorsieht, auf Systeme mit zwei magnetischen Austauschkonstanten. In diesem Fall tritt in der thermischen Ausdehnung ein zusätzlicher, zur Ableitung der Entropie nach der Energielücke proportionaler Term auf, der durch Messungen zur spezifischen Wärme nicht zugänglich ist. Aus den unter Verwendung dieses Modells bestimmten Grüneisenparametern lässt sich folgern, dass die ausgeprägte Tieftemperaturanomalie in HP-VOPO zum Teil von der starken Verzerrungsabhängigkeit der kleineren der beiden Austauschkonstanten, zum Teil aber auch von der Nähe zu einem quantenkritischen Punkt verursacht wird. Das zweidimensionale Dimersystem SrCu2(BO3)2 hat insbesondere durch die Lokalisierung der Triplettanregungen und die dadurch bedingten Magnetisierungsplateaus bei gewissen Bruchteilen der Sättigungsmagnetisierung Berühmtheit erlangt. In der thermischen Ausdehnung wird eine deutliche Anomalie bei der gleichen Temperatur beobachtet (T = 8K), wo sie auch in der spezifischen Wärme auftritt. Sie lässt sich durch die thermische Anregung der lokalisierten Tripletts erklären. Abschließend werden Messungen am natürlichen Mineral Azurit vorgestellt, bei dem die Spins zu sogenannten Diamantketten angeordnet sind. In der Literatur wird noch diskutiert, ob es sich bei Azurit um die magnetisch frustrierte Variante einer solchen Kette handelt. In der magnetischen Suszeptibilität, der spezifischen Wärme und der thermischen Ausdehnung tritt eine auffallende Doppelstruktur auf. Im Tieftemperaturbereich lässt sich die spezifische Wärme gut mit dem effektiven Modell einer homogenen Spinkette beschreiben. Auch der lambdaförmige antiferromagnetische Ordnungsübergang wurde untersucht und das in der Literatur bis B = 2 T gegebene Phasendiagramm, bestehend aus paramagnetischer, antiferromagnetische und Spin-Flop-Phase, bis B = 10 T erweitert.
Cryo-electron tomography (cryo-ET) is a powerful method to elucidate subcellular architecture and to structurally analyse biomolecules in situ by subtomogram averaging (STA). Specimen thickness is a key factor affecting cryo-ET data quality. Cells that are too thick for transmission imaging can be thinned by cryo-focused-ion-beam (cryo-FIB) milling. However, optimal specimen thickness for cryo-ET on lamellae has not been systematically investigated. Furthermore, the ions used to ablate material can cause damage in the lamellae, thereby reducing STA resolution. Here, we systematically benchmark the resolution depending on lamella thickness and the depth of the particles within the sample. Up to ca. 180 nm, lamella thickness does not negatively impact resolution. This shows that there is no need to generate very thin lamellae and thickness can be chosen such that it captures major cellular features. Furthermore, we show that gallium-ion-induced damage extends to depths of up to 30 nm from either lamella surface.
The extension of the nuclear two-centre-oscillator to three and four centres is investigated. Some special symmetry-properties are required. In two cases an analytical solution of the Schrödinger equation is possible. A numerical procedure is developed which enables the diagonalization of the Hamiltonian in a non-orthogonal basis without applying Schmidt's method of orthonormalization. This is important for calculations of arbitrary two-dimensional arrangements of the centres.
A three-center phenomenological model able to explain, at least from a qualitative point of view, the difference in the observed yield of a particle-accompanied fission and that of binary fission was developed. It is derived from the liquid drop model under the assumption that the aligned configuration, with the emitted particle between the light and heavy fragment is obtained by increasing continuously the separation distance, while the radii of the light fragment and of the light particle are kept constant. During the first stage of the deformation one has a two-center evolution until the neck radius becomes equal to the radius of the emitted particle. Then the three center starts developing by decreasing with the same amount the two tip distances. In such a way a second minimum, typical for a cluster molecule, appears in the deformation energy. Examples are presented for $^{240}$Pu parent nucleus emitting $\alpha$-particles and $^{14}$C in a ternary process.
The nucleons taking part in heavy ion reaction are considered as a three-component fluid. The first and second components correspond to the nucleons of the target and the projectile, while the thermalized nucleons produced in the course of the collision belong to the third component. Making use of the Boltzmann equation, hydrodynamical equations are derived. An equation of state for anisotropic nuclear matter obtained from a field theoretical model in mean field approximation is applied in a one dimensional version of the three-component fluid model. The speed of thermalization is analyzed and compared to the results of cascade and kinetic models. NUCLEAR REACTIONS Relativistic heavy-ion reactions, hydrodynamic description.
Data from the first physics run at the Relativistic Heavy-Ion Collider at Brookhaven National Laboratory, Au+Au collisions at sqrt[sNN]=130 GeV, have been analyzed by the STAR Collaboration using three-pion correlations with charged pions to study whether pions are emitted independently at freeze-out. We have made a high-statistics measurement of the three-pion correlation function and calculated the normalized three-particle correlator to obtain a quantitative measurement of the degree of chaoticity of the pion source. It is found that the degree of chaoticity seems to increase with increasing particle multiplicity.
Vibrational energy transfer (VET) is essential for protein function. It is responsible for efficient energy dissipation in reaction sites, and has been linked to pathways of allosteric communication. While it is understood that VET occurs via backbone as well as via non-covalent contacts, little is known about the competition of these two transport channels, which determines the VET pathways. To tackle this problem, we equipped the β-hairpin fold of a tryptophan zipper with pairs of non-canonical amino acids, one serving as a VET injector and one as a VET sensor in a femtosecond pump probe experiment. Accompanying extensive non-equilibrium molecular dynamics simulations combined with a master equation analysis unravel the VET pathways. Our joint experimental/computational endeavor reveals the efficiency of backbone vs. contact transport, showing that even if cutting short backbone stretches of only 3 to 4 amino acids in a protein, hydrogen bonds are the dominant VET pathway.
Time dependent dirac equation with relativistic mean field dynamics applied to heavy ion scattering
(1986)
We treat the relativistic propagation of nucleons coupled to scalar- and vector-meson fields in a mean-field approximation. The time-dependent Dirac and mean-meson-field equations are solved numerically in three dimensions. Collisions of 16O(300, 600, and 1200 MeV/nucleon) + 16O are studied for various impact parameters. The results are compared to other recent theoretical approaches. The calculations predict spallation, large transverse-momentum transfer, and positive-angle sidewards flow, in qualitative agreement with the data in this energy regime.
In this work, the complex structure of ionization and dissociation pathways on the potential energy curves in small molecules were investigated that are initiated by the absorption of a sequence of multi-color pulses in the XUV, VUV, and IR spectrum. Femtosecond pump-probe spectroscopy was used to track the evolution of nuclear dynamics in neutral hydrogen molecules. Previously unpublished excitation and ionization pathways leading to the dissociative ionization of hydrogen molecules were investigated by employing 3D momentum imaging spectroscopy. These studies were extended to oxygen molecules where an XUV attosecond pulse train coherently ionized several electronic states of O2+ followed by the dissociation of the molecule via multiple pathways. The infrared electric field of the driving laser was then used to couple the electronic and nuclear wave-packets, thus, manipulating the dissociation dynamics of the molecule on an attosecond time scale.
In order to perform the experiments presented here, a novel experimental setup was developed and constructed. It combines an existing high-flux High Harmonic Generation light source that delivers attosecond pulse trains in the VUV and XUV spectrum with a state-of-the-art 3D momentum imaging apparatus (COLTRIMS), as well as a beamline consisting of several experimental tools enabling the selection, characterization, and propagation of the photon spectrum.
Time resolved measurements of the biased disk effect at an Electron Cyclotron Resonance Ion Source
(1999)
First results are reported from time resolved measurements of ion currents extracted from the Frankfurt 14 GHz Electron Cyclotron Resonance Ion Source with pulsed biased-disk voltage. It was found that the ion currents react promptly to changes of the bias. From the experimental results it is concluded that the biased disk effect is mainly due to improvements of the extraction conditions for the source and/or an enhanced transport of ions into the extraction area. By pulsing the disk voltage, short current pulses of highly charged ions can be generated with amplitudes significantly higher than the currents obtained in continuous mode.
Traditional latency-limited trigger architectures typical for conventional experiments are inapplicable for the CBM experiment. Instead, CBM will ship and collect time-stamped data into a readout buffer in a form of a time-slice of a certain length and deliver it to a large computer farm, where online event reconstruction and selection will be performed. Grouping measurements into physical collisions must be performed in software and requires reconstruction not only in space, but also in time, the so-called 4-dimensional track reconstruction and event building. The tracks, reconstructed with 4D Cellular Automaton track finder, are combined into event-corresponding clusters according to the estimated time in the target position and the errors, obtained with the Kalman Filter method. The reconstructed events are given as inputs to the KF Particle Finder package for short-lived particle reconstruction. The results of time-based reconstruction of simulated collisions in CBM are presented and discussed in details.
The time dependent Hartree-Fock approximation is used to study the dynamical formation of long-lived superheavy nuclear complexes. The effects of long-range Coulomb polarization are treated in terms of a classical quadrupole polarization model. Our calculations show the existence of "resonantlike" structures over a narrow range of bombarding energies near the Coulomb barrier. Calculations of 238U + 238U are presented and the consequences of these results for supercritical positron emission are discussed. NUCLEAR REACTIONS 238U + 238U collisions as a function of bombarding energy, in the time-dependent Hartree-Fock approximation. Superheavy molecules and strongly damped collisions.
The neutron capture cross section of several key unstable isotopes acting as branching points in the s-process are crucial for stellar nucleosynthesis studies, but they are very challenging to measure due to the difficult production of sufficient sample material, the high activity of the resulting samples, and the actual (n,γ) measurement, for which high neutron fluxes and effective background rejection capabilities are required. As part of a new program to measure some of these important branching points, radioactive targets of 147Pm and 171Tm have been produced by irradiation of stable isotopes at the ILL high flux reactor. Neutron capture on 146Nd and 170Er at the reactor was followed by beta decay and the resulting matrix was purified via radiochemical separation at PSI. The radioactive targets have been used for time-of-flight measurements at the CERN n_TOF facility using the 19 and 185 m beam lines during 2014 and 2015. The capture cascades were detected using a set of four C6D6 scintillators, allowing to observe the associated neutron capture resonances. The results presented in this work are the first ever determination of the resonance capture cross section of 147Pm and 171Tm. Activation experiments on the same 147Pm and 171Tm targets with a high-intensity 30 keV quasi-Maxwellian flux of neutrons will be performed using the SARAF accelerator and the Liquid-Lithium Target (LiLiT) in order to extract the corresponding Maxwellian Average Cross Section (MACS). The status of these experiments and preliminary results will be presented and discussed as well.
This thesis serves two main purposes:
1. The introduction of a novel experimental method to investigate phase change dynamics of supercooled liquids
2. First-time measurements for the crystallization behaviour for hydrogen isotopes under various conditions
1) The new method is established by the synergy of a liquid microjet of ~ 5 µm diameter and a scattering technique with high spatial resolution, here linear Raman spectroscopy. Due to the high directional stability and the known velocity of the liquid filament, its traveling axis corresponds to a time axis static in space. Utilizing evaporative cooling in a vacuum environment, the propagating liquid cools down rapidly and eventually experiences a phase transition to the crystalline state. This temporal evolution is probed along the filament axis, ultimately resulting in a time resolution of 10 ns. The feasibility of this approach is proven successfully within the following experiments.
2) A main object of study are para-hydrogen liquid filaments. Raman spectra reveal a temperature gradient of the liquid across the filament. This behaviour can quantitatively be reconstructed by numerical simulations using a layered model and is rooted in the effectiveness of evaporative cooling on the surface and a finite thermal conductivity. The deepest supercoolings achieved are ~ 30% below the melting point, at which the filament starts to solidify from the surface towards the core. With a crystal growth velocity extracted from the data the appropriate growth mechanism is identified. The crystal structure that initially forms is metastable and probably the result of Ostwald’s rule of stages. Indications for a transition within the solid towards the stable equilibrium phase support this interpretation.
The analog isotope ortho-deuterium is evidenced to behave qualitatively similar with quantitative differences being mass related.
In further measurements, isotopic mixtures of para-hydrogen and ortho-deuterium are investigated. It is found that the crystallization process starts earlier and lasts significantly longer compared to the pure substances with the maximum values between 20-50% ortho-deuterium content. A solely temperature based explanation for this effect can be excluded. The difference in the quantum character and hence effective size of the isotopes suggests a strong influence of the progressing liquid-solid-interface. Small dilutions of each para-hydrogen and ortho-deuterium with neon show an even more extended crystallization process compared to above isotopic mixtures. Additionally, the crystal is strongly altered in favor of the equilibrium lattice structure of neon.
A new imaging method that combines high-efficiency fast-neutron detection with sub-ns time resolution is presented. This is achieved by exploiting the high neutron detection efficiency of a thick scintillator and the fast timing capability and flexibility of light-pulse detection with a dedicated image intensifier. The neutron converter is a plastic scintillator slab or, alternatively, a scintillating fibre screen. The scintillator is optically coupled to a pulse counting image intensifier which measures the 2-dimensional position coordinates and the Time-Of-Flight (TOF) of each detected neutron with an intrinsic time resolution of less than 1 ns. Large-area imaging devices with high count rate capability can be obtained by lateral segmentation of the optical readout channels.
A LEBT system consisting of an ion source, two solenoids, and a diagnostic section has been set up to investigate the space charge compensation process due to residual gas ionization [1] and to study experimentally the rise of compensation. To gain the radial beam potential distribution time resolved measurements of the residual gas ion energy distribution were carried out using a Hughes Rojanski analyzer [2,3]. To measure the radial density profile of the ion beam a CCD-camera performed time resolved measurements, which allow an estimation the rise time of compensation. Further the dynamic effect of the space charge compensation on the beam transport was shown. A numerical simulation under assumption of selfconsistent states [4] of the beam plasma has been used to determine plasma parameters such as the radial density profile and the temperature of the electrons. The acquired data show that the theoretical estimated rise time of space charge compensation neglecting electron losses is shorter than the build up time determined experimentally. An interpretation of the achieved results is given.
A 5-gap timing RPC equipped with patterned electrodes coupled to both charge-sensitive and timing circuits yields a time accuracy of 77 ps along with a position accuracy of 38 μm. These results were obtained by calculating the straight-line fit residuals to the positions provided by a 3-layer telescope made out of identical detectors, detecting almost perpendicular cosmic-ray muons. The device may be useful for particle identification by time-of-flight, where simultaneous measurements of trajectory and time are necessary.
Top-down influences on ambiguous perception: the role of stable and transient states of the observer
(2014)
The world as it appears to the viewer is the result of a complex process of inference performed by the brain. The validity of this apparently counter-intuitive assertion becomes evident whenever we face noisy, feeble or ambiguous visual stimulation: in these conditions, the state of the observer may play a decisive role in determining what is currently perceived. On this background, ambiguous perception and its amenability to top-down influences can be employed as an empirical paradigm to explore the principles of perception. Here we offer an overview of both classical and recent contributions on how stable and transient states of the observer can impact ambiguous perception. As to the influence of the stable states of the observer, we show that what is currently perceived can be influenced (1) by cognitive and affective aspects, such as meaning, prior knowledge, motivation, and emotional content and (2) by individual differences, such as gender, handedness, genetic inheritance, clinical conditions, and personality traits and by (3) learning and conditioning. As to the impact of transient states of the observer, we outline the effects of (4) attention and (5) voluntary control, which have attracted much empirical work along the history of ambiguous perception. In the huge literature on the topic we trace a difference between the observer's ability to control dominance (i.e., the maintenance of a specific percept in visual awareness) and reversal rate (i.e., the switching between two alternative percepts). Other transient states of the observer that have more recently drawn researchers' attention regard (6) the effects of imagery and visual working memory. (7) Furthermore, we describe the transient effects of prior history of perceptual dominance. (8) Finally, we address the currently available computational models of ambiguous perception and how they can take into account the crucial share played by the state of the observer in perceiving ambiguous displays.
Motivated by recently reported magnetic-field induced topological phases in ultracold atoms and correlated Moiré materials, we investigate topological phase transitions in a minimal model consisting of interacting spinless fermions described by the Hofstadter model on a square lattice. For interacting lattice Hamiltonians in the presence of a commensurate magnetic flux it has been demonstrated that the quantized Hall conductivity is constrained by a Lieb-Schultz-Mattis (LSM)-type theorem due to magnetic translation symmetry. In this work, we revisit the validity of the theorem for such models and establish that a topological phase transition from a topological to a trivial insulating phase can be realized but must be accompanied by spontaneous magnetic translation symmetry breaking caused by charge ordering of the spinless fermions. To support our findings, the topological phase diagram for varying interaction strength is mapped out numerically with exact diagonalization for different flux quantum ratios and band fillings using symmetry indicators. We discuss our results in the context of the LSM-type theorem.
We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility Xt is measured directly, and by the slab method, which is based on the topological content of sub-volumes (“slabs”) and estimates Xt even when the system remains trapped in a fixed topological sector. The results obtained by both methods are essentially consistent, but the impact of the Gradient Flow on the characteristic quantity of the slab method seems to be different in 2-flavour QCD and in the 2d O(3) model. In the latter model, we further address the question whether or not the Gradient Flow leads to a finite continuum limit of the topological susceptibility (rescaled by the correlation length squared, ξ2). This ongoing study is based on direct measurements of Xt in L × L lattices, at L/ξ ≃6.
We study the properties of the survival probability of an unstable quantum state described by a Lee Hamiltonian. This theoretical approach resembles closely Quantum Field Theory (QFT): one can introduce in a rather simple framework the concept of propagator and Feynman rules, Within this context, we re-derive (in a detailed and didactical way) the well-known result according to which the amplitude of the survival probability is the Fourier transform of the energy distribution (or spectral function) of the unstable state (in turn, the energy distribution is proportional to the imaginary part of the propagator of the unstable state). Typically, the survival probability amplitude is the starting point of many studies of non-exponential decays. This work represents a further step toward the evaluation of the survival probability amplitude in genuine relativistic QFT. However, although many similarities exist, QFT presents some differences w.r.t. the Lee Hamiltonian which should be studied in the future.
The chiral critical surface is a surface of second order phase transitions bounding the region of
first order chiral phase transitions for small quark masses in the fmu;d;ms;mg parameter space.
The potential critical endpoint of the QCD (T;m)-phase diagram is widely expected to be part of
this surface. Since for m = 0 with physical quark masses QCD is known to exhibit an analytic
crossover, this expectation requires the region of chiral transitions to expand with m for a chiral
critical endpoint to exist. Instead, on coarse Nt = 4 lattices, we find the area of chiral transitions
to shrink with m, which excludes a chiral critical point for QCD at moderate chemical potentials
mB < 500 MeV. First results on finer Nt = 6 lattices indicate a curvature of the critical surface
consistent with zero and unchanged conclusions. We also comment on the interplay of phase
diagrams between the Nf = 2 and Nf = 2+1 theories and its consequences for physical QCD.
The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant, lattice QCD cannot be simulated by standard Monte Carlo at finite baryon densities. I review alternative attempts to treat dense QCD with an effective lattice theory derived by analytic strong coupling and hopping expansions, which close to the continuum is valid for heavy quarks only, but shows all qualitative features of nuclear physics emerging from QCD. In particular, the nuclear liquid gas transition and an equation of state for baryons can be calculated directly from QCD. A second effective theory based on strong coupling methods permits studies of the phase diagram in the chiral limit on coarse lattices.
Towards a THz Bloch laser
(2011)
The realisation of tunable THz laser sources working at room temperature would give
rise to further applications in this range of the electromagnetic spectrum. The THz
Bloch laser could therefore become the basis for a technological breakthrough. Beside
this practical relevance, the physics of the gain mechanism has been investigated
theoretically for a long time and the experimental implementation of a self-starting
laser still has not been achieved.
At the beginning of this thesis the basic principles of Bloch oscillations and the
related Bloch gain are described. The need of a superlattice structure to make Bloch
oscillations possible in a semiconductor material is discussed. In this context, the effect
of negative differential resistance and its influence on the field distribution due to Gunn
domains is explained. The latter lead to an inhomogeneous field which may suppress
the Bloch gain mechanism. The Krömer criterion is introduced and the concept of
field-pinning layers to improve the field homogeneity is deduced. Finally, the design of
the laser material is shown and different types of laser waveguides are compared.
In chapter 3 detailed recipes for the processing of samples are given. Different types of
contacts (ohmic and Schottky), the wafer bonding process required for double-metal
lasers and the application of different photoresists for different purposes are described.
An explanation of the formation of waveguides due to dry etching, wet etching
and ion implantation follows. Dry etching is an established technique in the field
of microstructure processing but the challenge of etching about 20 μm has led to
problems. The high etching depth also makes wet etching difficult but this method
could be improved due to a hard bake of the photoresist. The protection of critical
areas on the surface of the samples with photoresist during ion implantation was
increased by optimising the spin coating process. However, a full implantation of the
active layer between the waveguides was not achieved which was the reason for the
development of the hybrid technology. Here a prior wet etching of about 10 μm is
performed and the rest of the material is implanted.
The experimental setup is shown in chapter 4. An alternative method for the electrical
contacting with the help of a copper bar is introduced. This improves the current
distribution and the risk of an electrical breakdown during the measurements could
therefore be lowered. Devices for THz beam guidance and spectroscopic measurements
are shown and the method of biasing the samples with pulses below 100 ns and
determining the effective voltage applied to the sample is depicted. These short pulses
are required to prevent the samples heating up drastically due to high power.
Chapter 5 contains the current-voltage characterisation of several structures including
I-V-samples, Bloch laser samples and a quantum cascade laser. Different contacts
(ohmic and Schottky) and different techniques for the formation of the ridges have
been used in the processing of these samples (performed at the University of Frankfurt
in all cases) and their influence on the I-V-dependence is discussed. The properties of
the THz emission of the quantum cascade laser are in good agreement with published
results from lasers processed with the same material. Another important result of
this chapter is that the Bloch laser samples show unstable behaviour compared to the
quantum cascade structure even with short pulses (of about 10 ns) where the risk of an
electrical breakdown or the building of filaments is low. THz radiation emitted from
one of the Bloch laser samples could not be observed.
Two aspects that may have prevented the Bloch laser to emit are discussed in
chapter 6. The saturation of the gain for higher amplitudes of the THz wave is
investigated in single mode and multiple mode operation (the latter could occur due
to the Bloch gain being expected to be broadband). In both cases it is shown that
the saturation effect would limit the output power only to values clearly above the
detection limit. In the subsequent section the distribution of the electric field is
simulated with SILVACO software. Structures with transit layer lengths above the
Krömer criterion are compared with structures which include field-pinning layers. It is
shown that the latter are useful to avoid propagating Gunn domains as they build up
in similar structures without field-pinning layers. Nevertheless, the electric field inside
the superlattice regions is not stable. Beside spatial inhomogeneities also temporal
variations of the field magnitude are observed. The lack of a suitable field distribution
is expected to be the main reason for the samples not to work.
Stored and cooled, highly-charged ions offer unprecedented capabilities for precision studies in the realm of atomic, nuclear structure and astrophysics[1]. After the successful investigation of the 96Ru(p,7)97Rh reaction cross section in 2009[2], the first measurement of the 124Xe(p,7)125Cs reaction cross section has been performed with decelerated, fully-ionized 124Xe ions in 2016 at the Experimental Storage Ring (ESR) of GSI[3]. Using a Double Sided Silicon Strip Detector, introduced directly into the ultra-high vacuum environment of a storage ring, the 125Cs proton-capture products have been successfully detected. The cross section has been measured at 5 different energies between 5.5AMeV and 8AMeV, on the high energy tail of the Gamow-window for hot, explosive scenarios such as supernovae and X-ray binaries. The elastic scattering on the H2 gas jet target is the major source of background to count the (p,7) events. Monte Carlo simulations show that an additional slit system in the ESR in combination with the energy information of the Si detector will enable background free measurements of the proton-capture products. The corresponding hardware is being prepared and will increase the sensitivity of the method tremendously.
Stored and cooled highly-charged ions offer unprecedented capabilities for precision studies in realm of atomic-, nuclear-structure and astrophysics. In context of the latter, after the successful investigation of the cross section of 96Ru(p,γ) in 2009, in 2016 the first measurement of the 124Xe(p,γ)125Cs reaction was performed at the Experimental Storage Ring (ESR) at GSI.
We report on the first steps of an ongoing project to add gauge observables and gauge corrections
to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier
to be amenable to numerical simulations by the worm algorithm in the chiral limit and at finite
density. Here we show how to evaluate the expectation value of the Polyakov loop in the framework
of the strong coupling limit at finite temperature, allowing to study confinement properties
along with those of chiral symmetry breaking. We find the Polyakov loop to rise smoothly, thus
signalling deconfinement. The non-analytic nature of the chiral phase transition is reflected in the
derivative of the Polyakov loop. We also discuss how to construct an effective theory for non-zero
lattice coupling, which is valid to O(b).
We analyze general convergence properties of the Taylor expansion of observables to finite chemical potential in the framework of an effective 2+1 flavor Polyakov-quark-meson model. To compute the required higher order coefficients a novel technique based on algorithmic differentiation has been developed. Results for thermodynamic observables as well as the phase structure obtained through the series expansion up to 24th order are compared to the full model solution at finite chemical potential. The available higher order coefficients also allow for resummations, e.g. Padé series, which improve the convergence behavior. In view of our results we discuss the prospects for locating the QCD phase boundary and a possible critical endpoint with the Taylor expansion method.
HADES (High Acceptance DiElectron Spectrometer), located at GSI, is a versatile detector for precise spectroscopy of e+ e- pairs and charged hadrons produced on a fixed target in a 1 to 3.5 AGeV kinetic beam energy region. The main experimental goal is to investigate properties of dense nuclear matter created in heavy ion collisions and learn about in-medium hadron properties.
In the HADES set-up 24 Mini Drift Chambers (MDC) allow for track reconstruction and determining the particle momentum by exploiting charged particle deflection in a magnetic field. In addition, the drift chambers contribute to particle identification by measuring the energy loss. The read-out concept foresees each sensing wire to be equipped with a preamplifier, analog pulse shaper and discriminator. In the current front-end electronics, the ASD-8 ASIC comprises the above modules. Due to limitations of the current on-board time to digital converters (TDC), especially regarding higher reaction rates expected at the future FAIR facility (HADES at SIS-100), the electronics need to be replaced by new board featuring multi-hit TDCs. Whereas ASD-8 chips cannot be procured anymore, a promising replacement candidate is the PASTTREC ASIC, developed by JU Krakow, which was tested w.r.t. suitability for MDC read-out in a variety of set-ups and, where possible, in direct comparison to ASD-8.
The timing precision, being the most crucial performance parameter of the joint system of detector and read-out electronics, was assessed in two different set-ups, i.e. a cosmic muon tracking set-up and a beam test at the COSY accelerator at Juelich using a minimum ionizing proton beam.
The beam test results were reproduced and can thus be quantitatively explained in a three dimensional GARFIELD simulation of a HADES MDC drift cell. In particular, the simulation is able to describe the characteristic dependence of the time precision on the track position within the cell.
A circuit simulation (SPICE) was used to closely model the time development of a raw drift chamber pulse, measured as a response to X-rays from a 55 Fe source. The insights gained from this model were used for attributing realistic charge values to the time over threshold values measured with the read-out ASICs in a charge calibration set-up. Furthermore, a high-level circuit simulation of the PASTTREC shaper is implemented to serve as a demonstration of the effect of the individual shaping and tail cancellation stages which are present in both ASICs.
The study of lattice gauge theories with Monte Carlo simulations is hindered by the infamous sign problem that appears under certain circumstances, in particular at non-zero chemical potential. So far, there is no universal method to overcome this problem. However, recent years brought a new class of non-perturbative Hamiltonian techniques named tensor networks, where the sign problem is absent. In previous work, we have demonstrated that this approach, in particular matrix product states in 1+1 dimensions, can be used to perform precise calculations in a lattice gauge theory, the massless and massive Schwinger model. We have computed the mass spectrum of this theory, its thermal properties and real-time dynamics. In this work, we review these results and we extend our calculations to the case of two flavours and non-zero chemical potential. We are able to reliably reproduce known analytical results for this model, thus demonstrating that tensor networks can tackle the sign problem of a lattice gauge theory at finite density
The creation of loosely bound objects in heavy ion collisions, e.g. light clusters, near the phase transition temperature () has been a puzzling observation that seems to be at odds with Big Bang nucleosynthesis suggesting that deuterons and other clusters are formed only below a temperature . We solve this puzzle by showing that the light cluster abundancies in heavy ion reactions stay approximately constant from chemical freeze-out to kinetic freeze-out. To this aim we develop an extensive network of coupled reaction rate equations including stable hadrons and hadronic resonances to describe the temporal evolution of the abundancies of light (anti-)(hyper-)nuclei in the late hadronic environment of an ultrarelativistic heavy ion collision. It is demonstrated that the chemical equilibration of the light nuclei occurs on a very short timescale as a consequence of the strong production and dissociation processes. However, because of the partial chemical equilibrium of the stable hadrons, including the nucleon feeding from Δ resonances, the abundancies of the light nuclei stay nearly constant during the evolution and cooling of the hadronic phase. This solves the longstanding contradiction between the thermal fits and the late stage coalescence (and the Big Bang nucleosynthesis) and explains why the observed light cluster yields are compatible with both a high chemical production temperature and a late state emission as modeled by coalescence. We also note in passing that the abundancies of the light clusters in the present approach are in excellent agreement with those measured by ALICE at LHC.
ALICE (A Large Ion Collider Experiment) is preparing for a major upgrade of the detector, readout and computing systemsfor LHC Run 3. A new facility called O2 (Online-Offline) will play a major role in data compression and event processing. To efficiently operate the experiment, we are designing a monitoring subsystem, which will provide a complete overview of the O2 overall health, detect performance degradation and component failures. The monitoring subsystem will receive and collect up to 600 kHz of performance metrics. It consists of a custom monitoring library and a server-side, distributed software covering five main functional tasks: parameter collection and processing, storage, visualisation and alarms. To select the most appropriate tools for these tasks, we evaluated three options: “Modular Stack”, Zabbix and the currently used ALICE Grid monitoring tool called MonALISA. The former one consists of a toolkit including collectd, Apache Flume, Apache Spark, InfluxDB, Grafana and Riemann. This paper describes the monitoring subsystem functional architecture. It goes through a complete evaluation of the three considered options, the selection process, risk assessment and justification for the final decision. The in-depth comparison includes functional features and throughput measurement to ensure the required processing and storage performance.
A lot of effort in lattice simulations over the last years has been devoted to studies of the QCD deconfinement transition. Most state-of-the-art simulations use rooted staggered fermions, while Wilson fermions are affected by large systematic uncertainties, such as coarse lattices or heavy sea quarks. Here we report on an ongoing study of the transition, using two degenerate flavours of nonperturbatively O(a) improved Wilson fermions. We start with Nt = 12 and 16 lattices and pion masses of 600 to 450 MeV, aiming at chiral and continuum limits with light quarks.
The thermodynamics of QCD with sufficiently heavy dynamical quarks can be described by a three-dimensional Polyakov loop effective theory, obtained after a truncated character and hopping expansion. We investigate the resulting phase diagram for low temperatures by mean field methods. Taking into account chemical potentials for both baryon number and isospin, we obtain clear signals for a liquid-gas type transition to baryon matter at μI=0 and a Bose-Einstein condensation transition at μB=0, as well as for their connection when both chemical potentials are non-zero.
Three-body nuclear forces play an important role in the structure of nuclei and hypernuclei and are also incorporated in models to describe the dynamics of dense baryonic matter, such as in neutron stars. So far, only indirect measurements anchored to the binding energies of nuclei can be used to constrain the three-nucleon force, and if hyperons are considered, the scarce data on hypernuclei impose only weak constraints on the three-body forces. In this work, we present the first direct measurement of the p−p−p and p−p−Λ systems in terms of three-particle mixed moments carried out for pp collisions at s√ = 13 TeV. Three-particle cumulants are extracted from the normalised mixed moments by applying the Kubo formalism, where the three-particle interaction contribution to these moments can be isolated after subtracting the known two-body interaction terms. A negative cumulant is found for the p−p−p system, hinting to the presence of a residual three-body effect while for p−p−Λ the cumulant is consistent with zero. This measurement demonstrates the accessibility of three-baryon correlations at the LHC.
Three-body nuclear forces play an important role in the structure of nuclei and hypernuclei and are also incorporated in models to describe the dynamics of dense baryonic matter, such as in neutron stars. So far, only indirect measurements anchored to the binding energies of nuclei can be used to constrain the three-nucleon force, and if hyperons are considered, the scarce data on hypernuclei impose only weak constraints on the three-body forces. In this work, we present the first direct measurement of the p−p−p and p−p−Λ systems in terms of three-particle correlation functions carried out for pp collisions at s√=13 TeV. Three-particle cumulants are extracted from the correlation functions by applying the Kubo formalism, where the three-particle interaction contribution to these correlations can be isolated after subtracting the known two-body interaction terms. A negative cumulant is found for the p−p−p system, hinting to the presence of a residual three-body effect while for p−p−Λ the cumulant is consistent with zero. This measurement demonstrates the accessibility of three-baryon correlations at the LHC.
Three-body nuclear forces play an important role in the structure of nuclei and hypernuclei and are also incorporated in models to describe the dynamics of dense baryonic matter, such as in neutron stars. So far, only indirect measurements anchored to the binding energies of nuclei can be used to constrain the three-nucleon force, and if hyperons are considered, the scarce data on hypernuclei impose only weak constraints on the three-body forces. In this work, we present the first direct measurement of the p−p−p and p−p−Λ systems in terms of three-particle mixed moments carried out for pp collisions at s√ = 13 TeV. Three-particle cumulants are extracted from the normalised mixed moments by applying the Kubo formalism, where the three-particle interaction contribution to these moments can be isolated after subtracting the known two-body interaction terms. A negative cumulant is found for the p−p−p system, hinting to the presence of a residual three-body effect while for p−p−Λ the cumulant is consistent with zero. This measurement demonstrates the accessibility of three-baryon correlations at the LHC.
ALICE is the dedicated heavy-ion experiment at the CERN Large Hadron Collider (LHC). Its main tracking and particle-identification detector is a large volume Time Projection Chamber (TPC). The TPC has been designed to perform well in the high-track density environment created in high-energy heavy-ion collisions. In this proceeding, we describe the track reconstruction procedure in ALICE. In particular, we focus on the two main challenges that were faced during the Run 2 data-taking period (2015–2018) of the LHC, which were the baseline fluctuations and the local space charge distortions in the TPC. We present the corresponding solutions in detail and describe the software tools that allowed us to circumvent these challenges.
Tracking influenza a virus infection in the lung from hematological data with machine learning
(2022)
The tracking of pathogen burden and host responses with minimal-invasive methods during respiratory infections is central for monitoring disease development and guiding treatment decisions. Utilizing a standardized murine model of respiratory Influenza A virus (IAV) infection, we developed and tested different supervised machine learning models to predict viral burden and immune response markers, i.e. cytokines and leukocytes in the lung, from hematological data. We performed independently in vivo infection experiments to acquire extensive data for training and testing purposes of the models. We show here that lung viral load, neutrophil counts, cytokines like IFN-γ and IL-6, and other lung infection markers can be predicted from hematological data. Furthermore, feature analysis of the models shows that blood granulocytes and platelets play a crucial role in prediction and are highly involved in the immune response against IAV. The proposed in silico tools pave the path towards improved tracking and monitoring of influenza infections and possibly other respiratory infections based on minimal-invasively obtained hematological parameters.
We study the transition from fusion-fission phenomena at about 20 MeV/nucleon multifragmentation at 100–200 MeV/nucleon in the reaction 16O+80Br employing the quantum molecular dynamics model. The time evolution of the density and mass distribution, the charged-particle multiplicity, and spectra as well as angular distributions of light particles are investigated. The results exhibit the transition of the disassembly mechanism, but no sharp change is found. The results are in good agreement with recently measured 4-Pi data.
Using a microscopic transport model we investigate the evolution of conical structures originating from the supersonic projectile moving through the hot matter of ultrarelativistic particles. Using different scenarios for the interaction between projectile and matter, and different transport properties of the matter, we study the formation and structure of Mach cones. Especially, a dependence of the Mach cone angle on the details and rate of the energy deposition from projectile to the matter is investigated. Furthermore, the two-particle correlations extracted from the numerical calculations are compared to an analytical approximation. We find that the propagation of a high energetic particle through the matter does not lead to the appearance of a double peak structure as observed in the ultrarelativistic heavy-ion collision experiments. The reason is the strongly forward-peaked energy and momentum deposition in the head shock region. In addition, by adjusting the cross section we investigate the influence of the viscosity to the structure of Mach cones. A clear and unavoidable smearing of the profile depending on a finite ratio of shear viscosity to entropy density is clearly visible.
Using a partonic transport model we investigate the evolution of conical structures in ultrarelativistic matter. Using two different source terms and varying the transport properties of the matter we study the formation of Mach Cones. Furthermore, in an additional study we extract the two-particle correlations from the numerical calculations and compare them to an analytical approximation. The influence of the viscosity to the shape of Mach Cones and the corresponding two-particle correlations is studied by adjusting the cross section of the medium.
As a part of this thesis, a Monte Carlo-based code has been developed capable of simulating the transition of proton beam properties to neutron beam properties as it occurs in the Li-7(p, n)Be-7 reaction. It is able to reproduce not only the angle-integrated energy distributions but it is also capable of predicting the angle-dependent neutron spectra as measured at Forschungszentrum Karlsruhe (Karlsruhe, Germany) and Physikalisch-Technische Bundesanstalt (Braunschweig, Germany). Since the code retains all three spatial dimensions as well as all three velocity dimensions, it provides very detailed information on the neutron beam. The resulting data can aid in many different aspects, for example it can be used in shielding construction, or for lithium target design. In this work, the code is used to predict the neutron beam properties expected at the Frankfurt Neutron Source at Stern-Gerlach-Zentrum (FRANZ) facility. For different proton beam energies, the neutron distribution in x/p_x, y/p_y, and z/p_z is shown as well as a Mollweide projection, which illustrates the kinematic collimation effect that limits the neutron cone opening angle to less than 180 degree.
Transition path sampling is a powerful tool in the study of rare events. Shooting trial trajectories from configurations along existing transition paths proved particularly efficient in the sampling of reactive trajectories. However, most shooting attempts tend not to result in transition paths, in particular in cases where the transition dynamics has diffusive character. To overcome the resulting efficiency problem, we developed an algorithm for “shooting from the top.” We first define a shooting range through which all paths have to pass and then shoot off trial trajectories only from within this range. For a well chosen shooting range, nearly every shot is successful, resulting in an accepted transition path. To deal with multiple mechanisms, weighted shooting ranges can be used. To cope with the problem of unsuitably placed shooting ranges, we developed an algorithm that iteratively improves the location of the shooting range. The transition path sampling procedure is illustrated for models of diffusive and Langevin dynamics. The method should be particularly useful in cases where the transition paths are long so that only relatively few shots are possible, yet reasonable order parameters are known.
An investigation of the transition to delta matter is performed based on a relativistic mean field formulation of the nonlinear sigma and omega model. We demonstrate that in addition to the Delta-meson coupling, the occurrence of the baryon resonance isomer also depends on the nucleon-meson coupling. Our results show that for the favored phenomenological value of m* and K, the Delta isomer exists at baryon density ~ 2–3 p0 if beta=1.31 is adopted. For universal coupling of the nucleon and Delta, the Delta density at baryon density ~ 2–3 p0 and temperature ~ 0.4–0.5 fm-1 is about normal nuclear matter density, which is in accord with a recent experimental finding.
The equilibration of hot and dense nuclear matter produced in the central region in central Au+Au collisions at square root s = 200A GeV is studied within the microscopic transport model UrQMD. The pressure here becomes isotropic at t approx 5 fm/c. Within the next 15 fm/c the expansion of the matter proceeds almost isentropically with the entropy per baryon ratio S/A approx 150. During this period the equation of state in the (P, epsilon)-plane has a very simple form, P = 0.15 epsilon. Comparison with the statistical model (SM) of an ideal hadron gas reveals that the time of approx 20 fm/c may be too short to attain the fully equilibrated state. Particularly, the fractions of resonances are overpopulated in contrast to the SM values. The creation of such a long-lived resonance-rich state slows down the relaxation to chemical equilibrium and can be detected experimentally.
The present work deals with the integration of variable renewable energy sources, wind and solar energy into the European and US power grid. In contrast to other networks, such as the gas supply mains, the electricity network is practically not able to store energy. Generation and consumption therefore always have tobe balanced. Currently, the load curve is viewed as a rigid boundary condition, which must be followed by the generation system. The basic idea of the approach followed here is that weather-dependent generation causes a shift of focus of the electricity supply. At high shares of wind and solar generation, the role of the rigid boundary condition falls to the residual load, that is, the remaining load after subtraction of renewable generation. The goal is to include the weather dependence as well as the load curve in the design of the future electricity supply.
After a brief introduction, the present work first turns to the underlying weather-, generation and load data, which form the starting point of the analysis. In addition, some basic concepts of energy economics are discussed, which are needed in the following.
In the main part of the thesis, several algorithms are developed to determine the load flow in a network with a high share of wind and solar energy and to determine the backup supply needed at the same time. Minimization of the energy needed from controllable power plants, the capacity variable power plants, and the capacity of storing serve as guiding principles. In addition, the optimization problem of grid extensions is considered. It is shown that it can be formulated as a convex optimization problem. It turns out that with an optimized, international transmission network which is about four times the currently available transmission capacity, much of the potential savings in backup energy (about 40%) in Europe can be reached. In contrast, a twelvefold increase the transmission capacity would be necessary for a complete implementation of all possible savings in dispatchable power plants.
The reduction of the dispatchable generation capacity and storage capacity, however, presents a greater challenge. Due to correlations in the generation of time series of individual countries, it may be reduced only with difficulty, and by only about 30%.
In the following, the influence of the relative share of wind and solar energy is illuminated and examined the interplay with the line capacitance. A stronger transmission network tends to lead to a higher proportion of wind energy being better integrated. With increasing line capacity, the optimal mix in Europe therefore shifts from about 70% to 80% wind. Similar analyses are carried out for the US with comparable results.
In addition, the cost of the overall system can be reduced. It is interesting at this point that the advantages for the network integration may outweigh higher production costs of individual technologies, so that it is more favourable from the viewpoint of the entire system to use the more expensive technologies.
Finally, attention is given to the flexibility of the dispatchable power plants. Starting from a Fourier-like decomposition of the load curve as it was a few years ago, when hardly renewable generation capacity was present, capacities of different flexibility classes of dispatchable power plant are calculated. For this purpose, it is assumed that the power plant park is able to follow the load curve without significant surplusses or deficits. From this examination, it is derived what capacity must at least be available without having to resort to a detailed database of existing power plants.
Assuming a strong European cooperation, with a stronger international transmission network, the dispatchable power capacity can be significantly reduced while maintaining security of supply and generating relatively small surplusses in dispatchable power plants.
We propose to use the hadron number fluctuations in the limited momentum regions to study the evolution of initial flows in high energy nuclear collisions. In this method by a proper preparation of a collision sample the projectile and target initial flows are marked in fluctuations in the number of colliding nucleons. We discuss three limiting cases of the evolution of flows, transparency, mixing and reflection, and present for them quantitative predictions obtained within several models. Finally, we apply the method to the NA49 results on fluctuations of the negatively charged hadron multiplicity in Pb+Pb interactions at 158A GeV and conclude that the data favor a hydrodynamical model with a significant degree of mixing of the initial flows at the early stage of collisions.
We propose to use the hadron number fluctuations in the limited momentum regions to study the evolution of initial flows in high energy nuclear collisions. In this method by a proper preparation of a collision sample the projectile and target initial flows are marked in fluctuations in the number of colliding nucleons. We discuss three limiting cases of the evolution of flows, transparency, mixing and reflection, and present for them quantitative predictions obtained within several models. Finally, we apply the method to the NA49 results on fluctuations of the negatively charged hadron multiplicity in Pb+Pb interactions at 158A GeV and conclude that the data favor a hydrodynamical model with a significant degree of mixing of the initial flows at the early stage of collisions.
Dilepton spectra are calculated within the microscopic transport model UrQMD and compared to data from the CERES experiment. The invariant mass spectra in the region between 300 MeV and 600 MeV depend strongly on the mass dependence of the rho meson decay width which is not sufficiently determined by the Vector Meson Dominance model. A consistent explanation of both the recent Pb+Au data and the proton induced data can be given without additional medium effects.
In this work we provided additional insights into our understanding of bulk QCD matter through the study of the transport coeffcients which govern the non-equilibrium microscopical processes of statistical ensembles. Specically, we focused on the low energy regime corresponding to the hadron gas, as the properties of this region of the phase diagram are still relatively unknown, and existing calculations for the transport coeffcients are either scarce, contradictory, or somewhat limited in scope; this thesis' main goal was thus to shed some light on this by providing new independent calculations of these quantities.
We subsequently presented two formalisms which can be used to calculate transport coeffcients. The first one (which also was the main tool we used in the following chapters to produce our results) relies on the development of so-called Green-Kubo formulas, which relate non-equilibrium dissipative fluctuations with transport coeffcients; notably, the off-diagonal components of the energy-momentum tensor are shown to be related to the shear viscosity, its diagonal components to the bulk viscosity and fluctuations in the electric current can be related to the electric conductivity. We additionally introduced two new conductivities, namely the baryon-electric and strange electric conductivities, which we dubbed, together with the already known electric one, the "cross-conductivity", which encodes information about how electric fluctuations are correlated to changes in electric, baryonic or strange currents, or vice-versa. The second way of calculating transport coeffcient which we discussed consists in linearizing the collision term of the Boltzmann equation through the Chapman-Enskog formalism. While in principle providing direct semi-analytical results for the transport coeffcients, this approach is complicated to implement when more than a few species are considered, and as such was then mostly used as a tool to calibrate our Green-Kubo calculations.
The hadron gas model that we used for all calculations, namely the transport approach SMASH, was then presented. The main features of the model were explained, such as the collision criterion, the considered degrees of freedom and the specific way in which they microscopically interact with each other. It was verified that SMASH does reproduce analytical results of the Boltzmann equation in an expanding universe scenario, thus showing the equivalence of this transport approach and the associated kinetic theory results. A special care was taken to detail the ways in which a state of thermal and chemical equilibrium (which is necessary for Green-Kubo relations to be valid) can be reached and described using SMASH.
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The pion source as seen through HBT correlations at RHIC energies is investigated within the UrQMD approach. We find that the calculated transverse momentum, centrality, and system size dependence of the Pratt-HBT radii R_L and R_S are reasonably well in line with experimental data. The predicted R_O values in central heavy ion collisions are larger as compared to experimental data. The corresponding quantity sqrt R_O^2-R_S^2 of the pion emission source is somewhat larger than experimental estimates.
Based on the UrQMD transport model, the transverse momentum and the rapidity dependence of the Hanbury-Brown-Twiss (HBT) radii R_L, R_O, R_S as well as the cross term R_OL at SPS energies are investigated and compared with the experimental NA49 and CERES data. The rapidity dependence of the R_L, R_O, R_S is weak while the R_OL is significantly increased at large rapidities and small transverse momenta. The HBT "life-time" issue (the phenomenon that the calculated sqrt R_O^2-R_S^2 value is larger than the correspondingly extracted experimental data) is also present at SPS energies.
Based on the microscopic transport model UrQMD in which hadronic and string degrees of freedom are employed, the HBT parameters in the longitudinal co-moving system are investigated for charged pion and kaon, and Λ sources in heavy ion collisions (HICs) at SPS and RHIC energies. In the Cascade mode, RO and the RL at high SPS and RHIC energies do not follow the mT-scaling, however, after considering a soft equation of state with momentum dependence (SM-EoS) for formed baryons and a density-dependent Skyrme-like potential for “pre-formed” particles, the HBT radii of pions and kaons and even those of Λs with large transverse momenta follow the mT-scaling function R=3/mT fairly well.
Ziel dieser Dissertation ist es, die Gleichgewichts- und Nichtgleichgewichts-Eigenschaften des stark wechselwirkenden QGP-Mediums nahe dem Phasenübergang unter extremen Bedingungen von hohen T und hohen Baryonendichten mit Hilfe der kinetischen Theorie im Rahmen von effektiven Modellen zu untersuchen. Wir werden zunächst die thermodynamischen und Transporteigenschaften des QGPs in der Nähe des Gleichgewichts auf der Basis des DQPM im Bereich moderater chemischer Baryonenpotentiale μB ≥ 0.5 GeV untersuchen. Insbesondere werden die EoS und die Schallgeschwindigkeit sowie die Transportkoeffizienten des QGP auf der Grundlage des DQPM bei endlichen T und μB berechnet. Transportkoeffizienten sind besonders interessant, da sie Informationen über die Wechselwirkungen im Medium erlauben, das im Gleichgewicht durch eine Temperatur T und ein chemisches Potential μB charakterisiert werden kann. Unter Berücksichtigung der Transportkoeffizienten und der EoS der QGP-Phase vergleichen wir unsere Ergebnisse mit verschiedenen Resultaten aus der Literatur, in denen Transportkoeffizienten des QGPs auf Basis von effektiven Modellen vorwiegend bei Null oder kleinem chemischen Potentialen untersucht wurden.
Darüber hinaus werden in Kapitel 3 die Gleichgewichtseigenschaften des QGPs und insbesondere die Auswirkungen der μB-Abhängigkeit der thermodynamischen und Transporteigenschaften des QGPs im Rahmen des erweiterten PHSD-Transportansatzes untersucht, der die vollständige Entwicklung des Systems einschließlich der partonischen Phase umfasst. Die Entwicklung des PHSD-Transportansatzes wird in der partonischen Phase erweitert, indem explizit die gesamt- und differentiellen partonischen Streuquerschnitte auf der Grundlage des DQPM berechnet und bei der tatsächlichen Temperatur T und dem baryonischen chemischen Potential μB in jeder einzelnen Raum-Zeit-Zelle, in der die partonische Streuung stattfindet, ausgewertet werden.
Um die Spuren der μB-Abhängigkeit des QGPs in den Observablen zu untersuchen, werden die Ergebnisse von PHSD5.0 (mit μB-Abhängigkeiten) mit den Ergebnissen von PHSD5.0 für μB = 0 sowie mit PHSD4.0, in dem die Massen/Breiten der Quarks und Gluonen sowie deren Wechselwirkungsquerschnitte nur von T abhängen, verglichen. Wir diskutieren die PHSD-Ergebnisse für verschiedene Observablen: (i) Rapiditäts- und pT -Verteilungen von identifizierten Hadronen für symmetrische Au+Au- und Pb+Pb- Kollisionen bei Energien von 30 AGeV (zukünftige NICA-Energie) sowie für die RHIC-Spitzenenergie von √sNN = 200 GeV; (ii) gerichteter Fluss v1 von identifizierten Hadronen für Au + Au bei invarianter Energie √sNN = 27 GeV und 200 GeV; (iii) elliptischer Fluss v2 der identifizierten Hadronen für Au+Au bei invarianten Energien √sNN = 27 und 200 GeV. Der Vergleich der "Bulk"-Observablen für Au+Au-Kollisionen innerhalb der drei PHSD-Einstellungen hat gezeigt, dass sie eine recht geringe Empfindlichkeit gegenüber den μB -Abhängigkeiten der Partoneigenschaften (Massen und Breiten) und ihrer Wechselwirkungsquerschnitte aufweisen, sodass die Ergebnisse von PHSD5.0 mit und ohne μB sehr nahe beieinander liegen. Nur im Fall von Kaonen, Antiprotonen ̄p und Antihyperonen ̄Λ + ̄Σ0 konnte ein kleiner Unterschied zwischen PHSD4.0 und PHSD5.0 bei den höchsten SPS- und RHIC-Energien festgestellt werden.
Wir finden nur geringe Unterschiede zwischen den Ergebnissen von PHSD4.0 und PHSD5.0 für die hier betrachteten hadronischen Observablen sowohl bei hohen als auch bei mittleren Energien. Dies hängt damit zusammen, dass bei hohen Energien, wo die Materie vom QGP dominiert wird, ein sehr kleines chemisches Baryonenpotential μB in zentralen Kollisionen bei mittlerer Rapidität gemessen wird, während mit abnehmender Energie und größerem μB der Anteil des QGPs rapide abnimmt, sodass die endgültigen Beobachtungswerte insgesamt von den Hadronen dominiert werden, die an der hadronischen Rückstreuung teilgenommen haben, und somit die Information über ihren QGP-Ursprung verwaschen oder verloren geht.
In Kapitel 4 betrachten wir die Transportkoeffizienten von QGP-Materie im erweiterten Polyakov-NJL-Modell entlang der Übergangslinie für moderate Werte des chemischen Baryonenpotenzials 0 ≤ μB ≤ 0.9 GeV sowie in der Nähe des kritischen Endpunkts(CEP) und bei großem chemischen Baryonenpotenzial μB = 1.2 GeV, wo ein Phasenübergang erster Ordnung stattfindet. Wir untersuchen, wie die Natur der Freiheitsgrade die Transporteigenschaften des QGPs beeinflusst. Darüber hinaus demonstrieren wir die Auswirkungen des Phasenübergangs erster Ordnung und des CEP auf die Transportkoeffizienten im dekonfinierten QCD-Medium.
Darüber hinaus wird in Kapitel 5 eine phänomenologische Erweiterung des DQPM auf große baryonchemische Potentiale μB einschließlich der Region mit einem möglichen CEP und späterem Phasenübergang erster Ordnung betrachtet. Eines der wichtigsten Merkmale des Modells ist das Auftreten einer ’kritischen‘ Skalierung in der Nähe des CEP. Das Hauptziel des vorgestellten Modells besteht darin, die mikroskopischen und makroskopischen Eigenschaften der partonischen Freiheitsgrade für den Bereich des Phasendiagramms bereitzustellen, der durch moderates T und moderates oder hohes μB gekennzeichnet ist.
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We compare multiplicities as well as rapidity and transverse momentum distributions of protons, pions and kaons calculated within presently available transport approaches for heavy ion collisions around 1 AGeV. For this purpose, three reactions have been selected: Au+Au at 1 and 1.48 AGeV and Ni+Ni at 1.93 AGeV.
By replacing the irises in an electron linac by a slit one gets a structure capable of focussing/defocussing an electron beam (rf-quadrupoles). Therefore one can think of a combination of rf- and conventional magnetic quadrupoles for transversal focussing in linear-colliders. Furthermore they can meet the demands of BNS-damping without initial energy spread. Considering multibunch-operation of a collider, the long-range wake behaviour of this kind of structure has to be investigated. A three-cell structure has been built and investigated for dipole-type transversal long-range wakes. The experimental results are compared to numerical simulations done with MAFIA.
Transverse activity of kaons and deconfinement phase transition in nucleus–nucleus collisions
(2003)
We found that the experimental results on transverse mass spectrum of kaons produced in central Pb+Pb (Au+Au) collisions show an anomalous dependence on the colliding energy. The inverse slope of the spectrum increases with the energy in the low (AGS) and high (RHIC) energy domains, whereas it remains constant in the intermediate (SPS) energy range. We argue that this anomaly is probably caused by the modification of the equation of state in the transition region between confined and deconfined matter. This observation may be considered as a new signal, in addition to the previously reported anomalies in the pion and strangeness production, of the onset of deconfinement located in the low SPS energy domain.
Transverse activity of kaons and the deconfinement phase transition in nucleus-nucleus collisions
(2003)
We found that the experimental results on transverse mass spectra of kaons produced in central Pb+Pb (Au+Au) interactions show an anomalous dependence on the collision energy. The inverse slopes of the spectra increase with energy in the low (AGS) and high (RHIC) energy domains, whereas they are constant in the intermediate (SPS) energy range. We argue that this anomaly is probably caused by a modification of the equation of state in the transition region between confined and deconfined matter. This observation may be considered as a new signal, in addition to the previously reported anomalies in the pion and strangeness production, of the onset of deconfinement located in the low SPS energy domain.
The NA35 experiment has collected a high statistics set of momentum analyzed negative hadrons near and forward of midrapidity for central collisions of 200A GeV/c 32S+S, Cu, Ag, and Au. Using momentum space correlations to study the size of the source of particle production, the transverse source radii are found to decrease by ~40% at midrapidity and ~20% at forward rapidity while the longitudinal radius RL is found to decrease by ~50% as pT increases over the interval 50<pT<600 MeV/c. Calculations using a microscopic phase space approach (relativistic quantum molecular dynamics) reproduce the observed trends of the data. PACS: 25.75.+r
The production of prompt charmed mesons D0, D+ and D∗+, and their antiparticles, was measured with the ALICE detector in Pb-Pb collisions at the centre-of-mass energy per nucleon pair, sNN−−−√, of 2.76 TeV. The production yields for rapidity |y|<0.5 are presented as a function of transverse momentum, pT, in the interval 1-36 GeV/c for the centrality class 0-10% and in the interval 1-16 GeV/c for the centrality class 30-50%. The nuclear modification factor RAA was computed using a proton-proton reference at s√=2.76 TeV, based on measurements at s√=7 TeV and on theoretical calculations. A maximum suppression by a factor of 5-6 with respect to binary-scaled pp yields is observed for the most central collisions at pT of about 10 GeV/c. A suppression by a factor of about 2-3 persists at the highest pT covered by the measurements. At low pT (1-3 GeV/c), the RAA has large uncertainties that span the range 0.35 (factor of about 3 suppression) to 1 (no suppression). In all pT intervals, the RAA is larger in the 30-50% centrality class compared to central collisions. The D-meson RAA is also compared with that of charged pions and, at large pT, charged hadrons, and with model calculations.
The production of prompt charmed mesons D0, D+ and D∗+, and their antiparticles, was measured with the ALICE detector in Pb-Pb collisions at the centre-of-mass energy per nucleon pair, sNN−−−√, of 2.76 TeV. The production yields for rapidity |y|<0.5 are presented as a function of transverse momentum, pT, in the interval 1-36 GeV/c for the centrality class 0-10% and in the interval 1-16 GeV/c for the centrality class 30-50%. The nuclear modification factor RAA was computed using a proton-proton reference at s√=2.76 TeV, based on measurements at s√=7 TeV and on theoretical calculations. A maximum suppression by a factor of 5-6 with respect to binary-scaled pp yields is observed for the most central collisions at pT of about 10 GeV/c. A suppression by a factor of about 2-3 persists at the highest pT covered by the measurements. At low pT (1-3 GeV/c), the RAA has large uncertainties that span the range 0.35 (factor of about 3 suppression) to 1 (no suppression). In all pT intervals, the RAA is larger in the 30-50% centrality class compared to central collisions. The D-meson RAA is also compared with that of charged pions and, at large pT, charged hadrons, and with model calculations.
The production of prompt charmed mesons D0, D+ and D∗+, and their antiparticles, was measured with the ALICE detector in Pb-Pb collisions at the centre-of-mass energy per nucleon pair, sNN−−−√, of 2.76 TeV. The production yields for rapidity |y|<0.5 are presented as a function of transverse momentum, pT, in the interval 1-36 GeV/c for the centrality class 0-10% and in the interval 1-16 GeV/c for the centrality class 30-50%. The nuclear modification factor RAA was computed using a proton-proton reference at s√=2.76 TeV, based on measurements at s√=7 TeV and on theoretical calculations. A maximum suppression by a factor of 5-6 with respect to binary-scaled pp yields is observed for the most central collisions at pT of about 10 GeV/c. A suppression by a factor of about 2-3 persists at the highest pT covered by the measurements. At low pT (1-3 GeV/c), the RAA has large uncertainties that span the range 0.35 (factor of about 3 suppression) to 1 (no suppression). In all pT intervals, the RAA is larger in the 30-50% centrality class compared to central collisions. The D-meson RAA is also compared with that of charged pions and, at large pT, charged hadrons, and with model calculations.
Results are presented on event-by-event fluctuations in transverse momentum of charged particles, produced at forward rapidities in p+p, C+C, Si+Si and Pb+Pb collisions at 158 AGeV. Three different characteristics are discussed: the average transverse momentum of the event, the Phi_pT fluctuation measure and two-particle transverse momentum correlations. In the kinematic region explored, the dynamical fluctuations are found to be small. However, a significant system size dependence of Phi_pT is observed, with the largest value measured in peripheral Pb+Pb interactions. The data are compared with predictions of several models. PACS numbers: 14.20.Jn, 13.75.Cs, 12.39.-x
The production cross section and the transverse momentum distribution of charged particles is measured in pp collisions at √s = 2.76 TeV, 5.02 TeV, 7 TeV and 13 TeV, as well as for Pb-Pb collision at √s_NN = 5.02 TeV and Xe-Xe at √s_NN = 5.44 TeV in ALICE at the LHC. The measurement is performed in the transverse momentum region of 0.15 < p_T < 50 GeV/c and in the pseudorapidity range of |η| < 0.8. The precision of the measurement has been substantially enhanced as a result of the improved corrections, by taking into account a more realistic particle composition in the MC simulations. As a result, the systematic uncertainties have been reduced by more than a factor two in all systems and energies.
The average transverse momentum <p_T> results show a faster-than-linear increase with the center-of-mass energy and follow a similar trend with respect to previous measurements. The analysis of the p_T spectra in multiplicity intervals show a weak center-of-mass energy dependence when they are compared to their respective inelastic (INEL) pp measurement. The average multiplicity as a function of the collision energy shows a quadratic trend, and the comparison with other ALICE multiplicity measurements exhibits a remarkable agreement, within uncertainties.
The transverse momentum spectra in pp collisions are compared to state-of-the-art MC simulations, EPOS LHC and PYTHIA 8 event generators; none of them is able to reproduce the distributions over the full p_T range.
The differential cross section in pp collisions is an essential observable for the study of the Quark Gluon Plasma (QGP) created in ultra-relativistic heavy-ion collisions. The absence of a medium formation in pp collisions serves as an essential baseline for studies of particle production and suppression due to parton energy-loss in the QGP. Since pp collisions at √s = 5.44 TeV were not measured by ALICE, the pp reference at this energy was constructed by using a power law interpolation between the s = 5.02 TeV and 7 TeV data. The pp results are compared to the particle production in Pb-Pb collisions at √s_NN = 5.02 TeV and Xe-Xe collisions at √s_NN = 5.44 TeV.
The nuclear modification factor R_AA for Pb-Pb and Xe-Xe collisions was calculated and a strong suppression of high-p_T particles is observed in central collisions. The R AA in different systems allows for a differential study of the parton energy loss in the QGP. The comparison of the R AA in multiplicity intervals between the two systems provide insights into the path length dependence of a parton that propagates in the medium.
We report the measured transverse momentum (pT) spectra of primary charged particles from pp, p-Pb and Pb-Pb collisions at a center-of-mass energy sNN−−−√=5.02 TeV in the kinematic range of 0.15 < pT< 50 GeV/c and |η| < 0.8. A significant improvement of systematic uncertainties motivated the reanalysis of data in pp and Pb-Pb collisions at sNN−−−√=2.76 TeV, as well as in p-Pb collisions at sNN−−−√=5.02 TeV, which is also presented. Spectra from Pb-Pb collisions are presented in nine centrality intervals and are compared to a reference spectrum from pp collisions scaled by the number of binary nucleon-nucleon collisions. For central collisions, the pT spectra are suppressed by more than a factor of 7 around 6–7 GeV/c with a significant reduction in suppression towards higher momenta up to 30 GeV/c. The nuclear modification factor RpPb, constructed from the pp and p-Pb spectra measured at the same collision energy, is consistent with unity above 8 GeV/c. While the spectra in both pp and Pb-Pb collisions are substantially harder at sNN−−−√=5.02 TeV compared to 2.76 TeV, the nuclear modification factors show no significant collision energy dependence. The obtained results should provide further constraints on the parton energy loss calculations to determine the transport properties of the hot and dense QCD matter.
Transverse momentum (pT) spectra of charged particles at mid-pseudorapidity in Xe-Xe collisions at sNN−−−√ = 5.44 TeV measured with the ALICE apparatus at the Large Hadron Collider are reported. The kinematic range 0.15<pT<50 GeV/c and |η|<0.8 is covered. Results are presented in nine classes of collision centrality in the 0-80% range. For comparison, a pp reference at the collision energy of s√ = 5.44 TeV is obtained by interpolating between existing \pp measurements at s√ = 5.02 and 7 TeV. The nuclear modification factors in central Xe-Xe collisions and Pb-Pb collisions at a similar center-of-mass energy of sNN−−−√ = 5.02 TeV, and in addition at 2.76 TeV, at analogous ranges of charged particle multiplicity density ⟨dNch/dη⟩ show a remarkable similarity at pT>10 GeV/c. The comparison of the measured RAA values in the two colliding systems could provide insight on the path length dependence of medium-induced parton energy loss. The centrality dependence of the ratio of the average transverse momentum ⟨pT⟩ in Xe-Xe collisions over Pb-Pb collision at s√ = 5.02 TeV is compared to hydrodynamical model calculations.
Transverse momentum (pT) spectra of charged particles at mid-pseudorapidity in Xe-Xe collisions at sNN−−−√ = 5.44 TeV measured with the ALICE apparatus at the Large Hadron Collider are reported. The kinematic range 0.15<pT<50 GeV/c and |η|<0.8 is covered. Results are presented in nine classes of collision centrality in the 0-80% range. For comparison, a pp reference at the collision energy of s√ = 5.44 TeV is obtained by interpolating between existing \pp measurements at s√ = 5.02 and 7 TeV. The nuclear modification factors in central Xe-Xe collisions and Pb-Pb collisions at a similar center-of-mass energy of sNN−−−√ = 5.02 TeV, and in addition at 2.76 TeV, at analogous ranges of charged particle multiplicity density ⟨dNch/dη⟩ show a remarkable similarity at pT>10 GeV/c. The centrality dependence of the ratio of the average transverse momentum ⟨pT⟩ in Xe-Xe collisions over Pb-Pb collision at s√ = 5.02 TeV is compared to hydrodynamical model calculations.
Transverse momentum (pT ) spectra of charged particles at mid-pseudorapidity in Xe–Xe collisions at √sNN=5.44TeV measured with the ALICE apparatus at the Large Hadron Collider are reported. The kinematic range 0.15<pT<50GeV/c and |η|<0.8 is covered. Results are presented in nine classes of collision centrality in the 0–80% range. For comparison, a pp reference at the collision energy of √s=5.44 TeV is obtained by interpolating between existing pp measurements at √s=5.02 and 7 TeV. The nuclear modification factors in central Xe–Xe collisions and Pb–Pb collisions at a similar center-of-mass energy of √sNN=5.02 TeV, and in addition at 2.76 TeV, at analogous ranges of charged particle multiplicity density 〈dNch/dη〉 show a remarkable similarity at pT>10 GeV/c. The centrality dependence of the ratio of the average transverse momentum 〈pT〉 in Xe–Xe collisions over Pb–Pb collision at √s=5.02 TeV is compared to hydrodynamical model calculations.
The inclusive charged particle transverse momentum distribution is measured in proton–proton collisions at s=900 GeV at the LHC using the ALICE detector. The measurement is performed in the central pseudorapidity region (|η|<0.8) over the transverse momentum range 0.15<pT<10 GeV/c. The correlation between transverse momentum and particle multiplicity is also studied. Results are presented for inelastic (INEL) and non-single-diffractive (NSD) events. The average transverse momentum for |η|<0.8 is 〈pT〉INEL=0.483±0.001 (stat.)±0.007 (syst.) GeV/c and 〈pT〉NSD=0.489±0.001 (stat.)±0.007 (syst.) GeV/c, respectively. The data exhibit a slightly larger 〈pT〉 than measurements in wider pseudorapidity intervals. The results are compared to simulations with the Monte Carlo event generators PYTHIA and PHOJET.
Recent results on transverse mass spectra of J/psi and psi prime mesons in central Pb+Pb collisions at 158 AGeV are considered. It is shown that those results support a hypothesis of statistical production of charmonia at hadronization and suggest the early thermal freeze-out of J/psi and psi prime mesons. Based on this approach the collective transverse velocity of hadronizing quark gluon plasma is estimated to be <v^H_T> \approx 0.2. Predictions for transverse mass spectra of hidden and open charm mesons at SPS and RHIC are discussed.
Transverse hadron spectra from proton-proton, proton-nucleus and nucleus-nucleus collisions from 2 AGeV to 21.3 ATeV are investigated within two independent transport approaches (HSD and UrQMD). For central Au+Au (Pb+Pb) collisions at energies above E lab ~ 5 AGeV, the measured K +- transverse mass spectra have a larger inverse slope parameter than expected from the default calculations. The additional pressure - as suggested by lattice QCD calculations at finite quark chemical potential mu q and temperature T - might be generated by strong interactions in the early pre-hadronic/partonic phase of central Au+Au (Pb+Pb) collisions. This is supported by a non-monotonic energy dependence of v2/pT in the present transport model.
The transversity distribution, which describes transversely polarized quarks in transversely polarized nucleons, is a fundamental component of the spin structure of the nucleon, and is only loosely constrained by global fits to existing semi-inclusive deep inelastic scattering (SIDIS) data. In transversely polarized p↑+p collisions it can be accessed using transverse polarization dependent fragmentation functions which give rise to azimuthal correlations between the polarization of the struck parton and the final state scalar mesons.This letter reports on spin dependent di-hadron correlations measured by the STAR experiment. The new dataset corresponds to 25 pb−1 integrated luminosity of p↑+p collisions at s=500 GeV, an increase of more than a factor of ten compared to our previous measurement at s=200 GeV. Non-zero asymmetries sensitive to transversity are observed at a Q2 of several hundred GeV and are found to be consistent with the former measurement and a model calculation. We expect that these data will enable an extraction of transversity with comparable precision to current SIDIS datasets but at much higher momentum transfers where subleading effects are suppressed.
We report high statistics measurements of inclusive charged hadron production in Au+Au and p+p collisions at sqrt[sNN]=200 GeV. A large, approximately constant hadron suppression is observed in central Au+Au collisions for 5<pT<12 GeV/c. The collision energy dependence of the yields and the centrality and pT dependence of the suppression provide stringent constraints on theoretical models of suppression. Models incorporating initial-state gluon saturation or partonic energy loss in dense matter are largely consistent with observations. We observe no evidence of pT-dependent suppression, which may be expected from models incorporating jet attenuation in cold nuclear matter or scattering of fragmentation hadrons.
The elliptic and triangular flow coefficients v2 and v3 of prompt D0, D+, and D∗+ mesons were measured at midrapidity (|y| < 0.8) in Pb–Pb collisions at the centre-of-mass energy per nucleon pair of √sNN = 5.02 TeV with the ALICE detector at the LHC. The D mesons were reconstructed via their hadronic decays in the transverse momentum interval 1 < pT < 36 GeV/c in central (0–10%) and semi-central (30–50%) collisions. Compared to pions, protons, and J/ψ mesons, the average D-meson vn harmonics are compatible within uncertainties with a mass hierarchy for pT 3 GeV/c, and are similar to those of charged pions for higher pT. The coupling of the charm quark to the light quarks in the underlying medium is further investigated with the application of the event-shape engineering (ESE) technique to the D-meson v2 and pT-differential yields. The D-meson v2 is correlated with average bulk elliptic flow in both central and semi-central collisions. Within the current precision, the ratios of per-event Dmeson yields in the ESE-selected and unbiased samples are found to be compatible with unity. All the measurements are found to be reasonably well described by theoretical calculations including the effects of charm-quark transport and the recombination of charm quarks with light quarks in a hydrodynamically expanding medium.
The elliptic and triangular flow coefficients v2 and v3 of prompt D0, D+, and D∗+ mesons were measured at midrapidity (|y|<0.8) in Pb-Pb collisions at the centre-of-mass energy per nucleon pair of sNN−−−−√=5.02 TeV with the ALICE detector at the LHC. The D mesons were reconstructed via their hadronic decays in the transverse momentum interval 1<pT<36 GeV/c in central (0-10%) and semi-central (30-50%) collisions. Compared to pions, protons, and J/ψ mesons, the average D-meson vn harmonics are compatible within uncertainties with a mass hierarchy for pT≲3 GeV/c, and are similar to those of charged pions for higher pT. The coupling of the charm quark to the light quarks in the underlying medium is further investigated with the application of the event-shape engineering (ESE) technique to the D-meson v2 and pT-differential yields. The D-meson v2 is correlated with average bulk elliptic flow in both central and semi-central collisions. Within the current precision, the ratios of per-event D-meson yields in the ESE-selected and unbiased samples are found to be compatible with unity. All the measurements are found to be reasonably well described by theoretical calculations including the effects of charm-quark transport and the recombination of charm quarks with light quarks in a hydrodynamically expanding medium.
The elliptic and triangular flow coefficients v2 and v3 of prompt D0, D+, and D∗+ mesons were measured at midrapidity (|y|<0.8) in Pb-Pb collisions at the centre-of-mass energy per nucleon pair of sNN−−−−√=5.02 TeV with the ALICE detector at the LHC. The D mesons were reconstructed via their hadronic decays in the transverse momentum interval 1<pT<36 GeV/c in central (0-10%) and semi-central (30-50%) collisions. Compared to pions, protons, and J/ψ mesons, the average D-meson vn harmonics are found to follow a mass ordering for pT<3 GeV/c, and to be similar to those of charged pions for higher pT. The coupling of the charm quark to the light quarks in the underlying medium is further investigated with the application of the event-shape engineering (ESE) technique to the D-meson v2 and pT-differential yields. The D-meson v2 is correlated with average bulk elliptic flow in both central and semi-central collisions. Within the current precision, the ratios of per-event D-meson yields in the ESE-selected and unbiased samples are found to be compatible with unity. All the measurements are found to be reasonably well described by theoretical calculations including the effects of charm-quark transport and the recombination of charm quarks with light quarks in a hydrodynamically expanding medium.
Correlations in the hadron distributions produced in relativistic Au+Au collisions are studied in the discrete wavelet expansion method. The analysis is performed in the space of pseudorapidity (| eta | <= 1) and azimuth(full 2 pi ) in bins of transverse momentum (pt) from 0.14 <= pt <= 2.1GeV/c. In peripheral Au+Au collisions a correlation structure ascribed to minijet fragmentation is observed. It evolves with collision centrality and pt in a way not seen before, which suggests strong dissipation of minijet fragmentation in the longitudinally expanding medium.
Trapping black hole remnants
(2005)
Large extra dimensions lower the Planck scale to values soon accessible. The production of TeV mass black holes at the LHC is one of the most exciting predictions. However, the final phases of the black hole's evaporation are still unknown and there are strong indications that a black hole remnant can be left. Since a certain fraction of such objects would be electrically charged, we argue that they can be trapped. In this paper, we examine the occurrence of such charged black hole remnants. These trapped remnants are of high interest, as they could be used to closely investigate the evaporation characteristics. Due to the absence of background from the collision region and the controlled initial state, the signal would be very clear. This would allow to extract information about the late stages of the evaporation process with high precision.
TriMem: A parallelized hybrid Monte Carlo software for efficient simulations of lipid membranes
(2022)
Lipid membranes are integral building blocks of living cells and perform a multitude of biological functions. Currently, molecular simulations of cellular-scale membrane remodeling processes at atomic resolution are extremely difficult, due to their size, complexity, and the large times-scales on which these processes occur. Instead, elastic membrane models are used to simulate membrane shapes and transitions between them and to infer their properties and functions. Unfortunately, an efficiently parallelized open-source simulation code to do so has been lacking. Here, we present TriMem, a parallel hybrid Monte Carlo simulation engine for triangulated lipid membranes. The kernels are efficiently coded in C++ and wrapped with Python for ease-of-use. The parallel implementation of the energy and gradient calculations and of Monte Carlo flip moves of edges in the triangulated membrane enable us to simulate large and highly curved membrane structures. For validation, we reproduce phase diagrams of vesicles with varying surface-to-volume ratios and area difference. We also compute the density of states to verify correct Boltzmann sampling. The software can be used to tackle a range of large-scale membrane remodeling processes as a step toward cell-scale simulations. Additionally, extensive documentation make the software accessible to the broad biophysics and computational cell biology communities.
We suggest to explore an entirely new method to experimentally and theoretically study the phase diagram of strongly interacting matter based on the triple nuclear collisions (TNC).We simulated the TNC using the UrQMD 3.4 model at the beam center of- mass collision energies √SNN = 200 GeV and √SNN = 2.76 TeV. It is found that in the most central and simultaneous TNC the initial baryonic charge density is about 3 times higher than the one achieved in the usual binary nuclear collisions at the same energies. As a consequence, the production of protons and Λ-hyperons is increased by a factor of 2 and 1.5, respectively. Using the MIT Bag model equation we study the evolution of the central cell in TNC and demonstrate that for the top RHIC energy of collision the baryonic chemical potential is 2-2.5 times larger than the one achieved in the binary nuclear collision at the same time of reaction. Based on these estimates, we show that TNC offers an entirely new possibility to study the QCD phase diagram at very high baryonic charge densities.
We found that a true ternary fission with formation of a heavy third fragment (a new kind of radioactivity) is quite possible for superheavy nuclei due to the strong shell effects leading to a three-body clusterization with the two doubly magic tin-like cores. The three-body quasifission process could be even more pronounced for giant nuclear systems formed in collisions of heavy actinide nuclei. In this case a three-body clusterization might be proved experimentally by detection of two coincident lead-like fragments in low-energy U+U collisions.
Organische Materialien haben bis zur Mitte des 20. Jahrhunderts hinsichtlich ihrer elektronischen Eigenschaften keine besondere Aufmerksamkeit auf sich gezogen. Größeres Interesse an diesen Materialien entstand erst durch die Entdeckung einer ungewöhnlich hohen elektrischen Leitfähigkeit des organischen Perylen-Bromin Ladungstransfer-Komplexes durch Inokuchi et al. im Jahr 1954. Diese neue Klasse von Materialien besteht typischerweise aus Donor- und Akzeptor-Molekülen, die in einer bestimmten Stöchiometrie aneinander gebunden sind. Elektrische Ladung wird zwischen den Donor- und Akzeptor-Molekülen transferiert. Um diesen Prozess zu beschreiben, entwickelte Robert Mulliken in den 60er Jahren ein theoretisches Gerüst. Abhängig von der Anordnung der Moleküle und transferierten elektrischen Ladung kann der Ladungstransfer-Komplex (oder Salz) ein Isolator, ein Halbleiter, ein Metall oder sogar ein Supraleiter sein. Noch mehr Aufmerksamkeit erhielten Ladungstransfer-Materialien mit der Entdeckung des ersten quasi-eindimensionalen organischen Metalls TTF-TCNQ (tetrathiafulvalene-tetracyanoquinodimethane) im Jahr 1973. ...
Controlling magnetic properties on the nanometer-scale is essential for basic research in micro-magnetism and spin-dependent transport, as well as for various applications such as magnetic recording, imaging and sensing. This has been accomplished to a very high degree by means of layered heterostructures in the vertical dimension. Here we present a complementary approach that allows for a controlled tuning of the magnetic properties of Co/Pt heterostructures on the lateral mesoscale. By means of in situ post-processing of Pt- and Co-based nano-stripes prepared by focused electron beam induced deposition (FEBID) we are able to locally tune their coercive field and remanent magnetization. Whereas single Co-FEBID nano-stripes show no hysteresis, we find hard-magnetic behavior for post-processed Co/Pt nano-stripes with coercive fields up to 850 Oe. We attribute the observed effects to the locally controlled formation of the CoPt L10 phase, whose presence has been revealed by transmission electron microscopy.
Tuning and optimization of the field distribution for 4-rod radio frequency quadrupole linacs
(2014)
In this thesis, the tuning process of the 4-rod Radio Frequency Quadrupole has been analyzed and a theory for the prediction of the tuning plate's influence on the longitudinal voltage distribution was developed together with RF design options for the optimization of the fringe fields.
The basic principles of the RFQ's particle dynamics and resonant behavior are introduced in the theory part of this thesis. All studies that are presented are based on the work on four RFQs of recent linac projects. These RFQs are described in one chapter. Here, the projects are introduced together with details about the RFQ parameters and performance. In the meantime two of these RFQs are in full operation at NSCL at MSU and FNAL. One is operating in the test phase of the MedAustron Cancer Therapy Center and the fourth one for LANL is about to be built. The longitudinal voltage distribution has been studied in detail with a focus on the influence of the RF design with tuning elements and parameters like the electrodes overlap or the distance between stems. The theory for simulation methods for the field flatness that were developed as part of this thesis, as well as its simulation with CST MWS have been analyzed and compared to measurements. The lumped circuit model has proven to predict results with an accuracy that can be used in the tuning process of 4-rod RFQs. Together with results from the tuning studies, the studies on the fringe fields of the 4-rod structure lead to a proposal for a 4-rod RFQ model with an improved field distribution in the transverse and longitudinal electric field.
For the injector upgrade at FNAL a 4-rod Radio Frequency Quadrupole (RFQ) with a resonance frequency of 200 MHz has been build. With this short structure of only 1.3 m a very compact injector design has been realized. Simulations with CST Microwave Studio® were performed for the design. Their results leading to the RF characterizations of the RFQ and the final RF setup which has been accomplished at IAP of the Goethe-University Frankfurt are presented in this paper.
Lattice strains of appropriate symmetry have served as an excellent tool to explore the interaction of superconductivity in the iron-based superconductors with nematic and stripe spin-density wave (SSDW) order, which are both closely tied to an orthorhombic distortion. In this work, we contribute to a broader understanding of the coupling of strain to superconductivity and competing normal-state orders by studying CaKFe4As4 under large, in-plane strains of B1g and B2g symmetry. In contrast to the majority of iron-based superconductors, pure CaKFe4As4 exhibits superconductivity with relatively high transition temperature of Tc∼35 K in proximity of a non-collinear, tetragonal, hedgehog spin-vortex crystal (SVC) order. Through experiments, we demonstrate an anisotropic in-plane strain response of Tc, which is reminiscent of the behavior of other pnictides with nematicity. However, our calculations suggest that in CaKFe4As4, this anisotropic response correlates with the one of the SVC fluctuations, highlighting the close interrelation of magnetism and high-Tc superconductivity. By suggesting moderate B2g strains as an effective parameter to change the stability of SVC and SSDW, we outline a pathway to a unified phase diagram of iron-based superconductivity.
Die Arbeit beschäftigt sich mit der Herstellung sowie der strukturellen und magnetischen Charakterisierung von zwei Materialklassen von kupferbasierten zweidimensionalen Quanten-Spin-Systemen: Quadratische Gitter von Dimeren sowie geometrisch frustrierte Kagomé Gitter. In beiden Systemen werden Substitutionen vorgestellt die zu verbesserten Eigenschaften führen.
We discuss the use of Wilson fermions with twisted mass for simulations of QCD thermodynamics.
As a prerequisite for a future analysis of the finite-temperature transition making use
of automatic O(a) improvement, we investigate the phase structure in the space spanned by the
hopping parameter k , the coupling b , and the twisted mass parameter m. We present results for
Nf = 2 degenerate quarks on a 163×8 lattice, for which we investigate the possibility of an Aoki
phase existing at strong coupling and vanishing m, as well as of a thermal phase transition at
moderate gauge couplings and non-vanishing m.
Background: The Hawking–Perry–Strominger (HPS) work states a new controversial idea about the black hole (BH) information paradox , where BHs maximally entropize and encode information in their event horizon area , with no “hair” thought to reveal information outside but angular momentum, mass, and electric charge only in a unique quantum gravity (QG) vacuum state. New conservation laws of gravitation and electromagnetism , appear to generate different QG vacua, preserving more information in soft photon/graviton hair implants. We find that BH photon hair implants can encode orbital angular momentum (OAM) and vorticity of the electromagnetic (EM) field. Methods: Numerical simulations are used to plot an EM field with OAM emitted by a set of dipolar currents together with the soft photon field they induce. The analytical results confirm that the soft photon hair implant carries OAM and vorticity. Results: a set of charges and currents generating real EM fields with precise values of OAM induce a “curly”, twisted, soft-hair implant on the BH with vorticity and OAM increased by one unit with respect to the initial real field. Conclusions: Soft photon implants can be spatially shaped ad hoc, encoding structured and densely organized information on the event horizon
The mass-dependent structure of the composite nucleus is shown based on three-dimensional timedependent Hartree-Fock calculations with Skyrme interactions (SLy4d and SkM*). One remarkable result is that the isovector monopole excitation dominantly appears for collisions of heavy nuclei, and the isovector dipole excitation for those of light ones. Such a difference found in the dynamical structure of composite nucleus plays a role in the equilibration of charge.
We present measurements of two-particle differential number correlation functions R2 and transverse momentum correlation functions P2, obtained from p-Pb collisions at 5.02 TeV and Pb-Pb collisions at 2.76 TeV. The results are obtained using charged particles in the pseudorapidity range |η|< 1.0, and transverse momentum range 0.2<pT<2.0 GeV/c as a function of pair separation in pseudorapidity, |Δη|, azimuthal angle, Δφ, and for several charged-particle multiplicity classes. Measurements are carried out for like-sign and unlike-sign charged-particle pairs separately and combined to obtain charge-independent and charge-dependent correlation functions. We study the evolution of the width of the near-side peak of these correlation functions with collision centrality. Additionally, we study Fourier decompositions of the correlators in Δφ as a function of the pair separation |Δη|. Significant differences in the dependence of their harmonic coefficients on multiplicity classes are found. These differences can be exploited, in theoretical models, to obtain further insight into charged-particle production and transport in heavy-ion collisions. Moreover, an upper limit of non-flow contributions to flow coefficients vn measured in Pb-Pb collisions based on the relative strength of Fourier coefficients measured in p-Pb interactions is estimated.
We present measurements of two-particle differential number correlation functions R2 and transverse momentum correlation functions P2, obtained from p-Pb collisions at 5.02 TeV and Pb-Pb collisions at 2.76 TeV. The results are obtained using charged particles in the pseudorapidity range |η|< 1.0, and transverse momentum range 0.2<pT<2.0 GeV/c as a function of pair separation in pseudorapidity, |Δη|, azimuthal angle, Δφ, and for several charged-particle multiplicity classes. Measurements are carried out for like-sign and unlike-sign charged-particle pairs separately and combined to obtain charge-independent and charge-dependent correlation functions. We study the evolution of the width of the near-side peak of these correlation functions with collision centrality. Additionally, we study Fourier decompositions of the correlators in Δφ as a function of the pair separation |Δη|. Significant differences in the dependence of their harmonic coefficients on multiplicity classes are found. These differences can be exploited, in theoretical models, to obtain further insight into charged-particle production and transport in heavy-ion collisions. Moreover, an upper limit of non-flow contributions to flow coefficients vn measured in Pb-Pb collisions based on the relative strength of Fourier coefficients measured in p-Pb interactions is estimated.
Die Physik beschäftigt sich seit jeher mit der Frage nach dem Aufbau und der Struktur der Materie. Die Antworten änderten sich im Laufe der Zeit, der gegenwärtige Stand der Erkenntnis ist im sogenannten Standardmodell zusammengefasst. Dort werden die Elementarteilchen in Leptonen und Quarks unterteilt, die Wechselwirkungen zwischen ihnen beschreibt man durch vier fundamentale Kräfte: die Gravitation, die elektromagnetischen Kraft, die schwache und die starke Kernkraft. Gemäß dem Standardmodell sind Nukleonen, also Protonen und Neutronen, aus Quarks aufgebaut. Das Proton ist beispielsweise ein gebundener Zustand aus zwei up und einem down Quark. Die Nukelonen bilden ihrerseits die Atomkerne, welche die Systematik der Elemente bestimmen. Quarks treten in sechs verschiedenen Arten (flavours) auf: up, down, strange, charm, bottom und top. Freie Quarks konnten bislang nicht nachgewiesen werden, sie werden nur als Quark-Antiquark Paar (Meson) oder als Kombination aus drei Quarks (Baryon) beobachtet. Mesonen und Baryonen werden unter dem Begriff Hadronen zusammengefaßt. Die starke Kernkraft beruht letztlich auf der Wechselwirkung zwischen Quarks, diese wird durch die Quantenchromodynamik (QCD) beschrieben. Ähnlich der Glashow- Salam-Weinberg Theorie (GSW), die die elektromagnetische und die schwache Kernkraft beschreibt, ist die Quantenchromodynamik durch Austauschteilchen charakterisiert. Im Fall der GSW wurden die Photonen bzw. W± oder Z-Teilchen als Austauschteilchen identifiziert, in der QCD fungieren Gluonen als Austauschteilchen. Photonen vermitteln die elektromagnetische Kraft zwischen allen Teilchen, die elektrische Ladung tragen. Analog wirkt die Kraft, die durch den Austausch von Gluonen beschrieben wird, zwischen Teilchen, die eine Farbladung tragen. Anders als das neutrale Photon trägt das Gluon selbst Farbe und wechselwirkt daher mit anderen Teilchen, die Farbe tragen. Dieser Umstand zeigt bereits, dass in der QCD ganz andere Phänomene zu erwarten sind als in der GSW. Die Tatsache, dass Quarks nur in gebundenen Zuständen vorliegen, erschwert die direkte Beobachtung der Wechselwirkung zwischen ihnen. Ein indirekter Weg, um die Wirkungweise diese Kraft zu untersuchen, liegt in der Erzeugung hoher Kernmateriedichten und hoher Kerntemperaturen. Die Idee besteht darin, das Phasendiagramm von Kernmaterie experimentell zu bestimmen (Abbildung 1.3) und dann auf die zugrundeliegende Kraft zu schließen. Unter anderem führen die Kräfte, die zwischen den Einzelteilchen des Mediums herrschen, zu charakteristischen Phasenübergängen. Im Fall der Kernmaterie hofft man insbesondere, den Übergang von gebundenen Zuständen in eine Quark-Gluon-Plasma Phase (QGP), in der sich Quarks und Gluonen frei bewegen, zu beobachten. Zwei prominente Beispiele demonstrieren, warum die Eigenschaften dieses Materiezustandes - und ob er überhaupt existiert - auch für andere Teilgebiete der Physik von großem Interesse sind. Zum einen geht man davon aus, dass in der Frühphase des Universums, 10-12 s nach dem Urknall, die Energiedichte so hoch war, dass die Materie in einem Plasmazustand vorlag. In diesem Bild führt die Expansion des Raumes zu einer Abkühlung des Plasmas und schließlich zum Ausfrieren in Hadronen. Zum anderen zeigen viele Modellstudien, dass im Innern von Neutronensternen mit extremen Dichten zu rechnen ist. Unter Umständen werden Energiedichten erreicht, die hoch genung sind, um einen Phasenübergang in ein Quark Gluon Plasma zu erzwingen. Die Beschreibung dieser astronomischen Objekte setzt somit auch die Kenntnis der Kräfte zwischen den Quarks voraus. Der einzige Weg, dichte Kernmaterie im Labor zu erzeugen, stellen Schwerionenreaktionen dar. Wenn zwei ultrarelativistische schwere Kerne zentral kollidieren, entsteht für kurze Zeit eine Region hoher Energiedichte (Abbildung 1.1). QCD-Gitter-Rechnungen deuten darauf hin, dass die Dichte, die man in Schwerionreaktion gegenwärtig erreicht, hoch genung ist, um einen Übergang der Kernmaterie in eine Plasma-Phase zu erzwingen. Aufgrund des hohen Drucks expandiert die verdichtete, heiße Kernmaterie in longitudinaler (entlang des Strahls) und transversaler (senkrecht zum Strahl) Richtung und die Dichte nimmt ab. Vorausgesetzt am Anfang der Reaktion wurde ein Quark-Gluon-Plasma erzeugt, dann friert diese Phase in Hadronen aus (chemisches Ausfrieren), wenn Dichte und Temperatur einen kritischen Wert unterschreiten. Die erzeugten Hadronen wechselwirken zunächst noch elastisch miteinander, d.h. die Impulse der Teilchen ändern sich, die Identität der Teilchen bleibt jedoch erhalten. Schließlich enden auch diese Wechselwirkungen (thermisches Ausfrieren), und die Teilchen verlassen die Reaktionszone (Abbildung 1.4). Der Ablauf einer solchen Schwerionenreaktion dauert einige 10-23s und ihre räumliche Ausdehnung liegt in der Größenordnung von 10-15m, damit ist die Reaktion selbst nicht beobachtbar. Nur der Endzustand, also die Identitäten und Impluse der emittierten Teilchen, kann bestimmt werden. Um den Ablauf der Reaktion zu rekonstruieren, ist man daher auf Modellrechnungen angewiesen. Aufgrund dieser Modellrechnungen wurden einige Observablen vorgeschlagen, die einen Phasenübergang kennzeichnen. Neben anderen Signaturen führt ein Phasenübergang wahrscheinlich zu einer verlängerten Emissionsdauer. Dieser Effekt kann möglicherweise durch die Analyse von Zwei-Teilchen-Korrelationen sichtbar gemacht werden. Ganz allgemein stellt die Untersuchung von Teilchenkorrelationen die einzige Möglichkeit dar, die raum-zeitlichen Strukturen während des thermischen Ausfrierens experimentell zu bestimmen. Korrelationen zwischen Teilchen, die von einer hinreichend kleinen Quelle emittiert werden, haben verschiedene Ursachen. Betrachtet man beispielsweise die Häufigkeitsverteilung der Impulsdifferenz zwischen zwei elektrisch gleich geladenen Teilchen, so stellt man fest, dass Paare mit geringer Impulsdifferenz weniger häufig vorkommen, als man anhand der Ein-Teilchen Impulsverteilung vorhersagen würde. Dieser Effekt ist auf die Abstoßung zwischen zwei elektrisch gleich geladenen Teilchen zurückzuführen, die mit kleiner Impulsdifferenz emittiert wurden. Eine weniger offensichtliche Korrelation wird durch den Quantencharakter identischer Teilchen verursacht. Zwei identische Bosonen, die im Phasenraum nahe beieinander liegen, können gemäß den Prinzipien der Quantentheorie nicht unterschieden werden. Die Wellenfunktion, die diesen Zwei-Teilchen-Zustand beschreibt, muß beim Vertauschen der Teilchen erhalten bleiben. Diese Forderung führt zu einem Interferenzterm in der Zwei-Teilchen Intensitätsverteilung. Diese Verteilung ist proportional zur Wahrscheinlichkeit, ein Teilchenpaar mit der Impulsdifferenz q zu messen. Berechnet man die Impulsdifferenzverteilung von Pionenpaaren und berücksichtig nur quanten- statistische Effekte, so findet man, dass Paare mit geringem Impulsunterschied bis zu zweimal häufiger vorkommen, als man aufgrund einfacher statistischer Überlegungen erwarten würde. Um diesen Effekt experimentell sichtbar zu machen, konstruiert man die Korrelationsfunktion, die die gemessene Impulsdifferenzverteilung in Relation zu einer Untergrundverteilung setzt. Experimentell gewinnt man diese Referenzverteilung, indem Paare aus Spuren aus verschiedenen Ereignissen gebildet werden. Die Referenzverteilung entspricht damit der Verteilung, die man messen würde, wenn die Teilchen nicht der Quantenstatistik unterlägen. Die Korrelationsfunktion wird im allgemeinen durch eine Gauß-Funktion angenähert. Das Inverse der Standardabweichung dieser Funktion wird nach den Pionieren der Intensitätsinterferometrie R. Hanbury Brown und R. Twiss als HBT-Radius bezeichnet. Teilchen interferieren nur dann, wenn sie im Phasenraum nahe beieinander liegen, das heißt sowohl die Impulsdifferenz als auch der räumliche Abstand muß hinreichend klein sein. Diese Bedingung kann genutzt werden, um von der gemessenen Korrelationsfunktion, die nur auf den Impulskomponenten basiert, auf die räumliche Verteilung der Teilchenproduktion zu schließen. Eine detaillierte Betrachtung erlaubt sogar, aufgrund der gemessenen Korrelationsfunktion quantitative Aussagen über die räumlichen Aspekte der Teilchenquelle zu machen. Beispielsweise können im Rahmen eines Modells die Stärke der transversalen Expansion oder die Emissionsdauer in Relation zu den HBT-Radien gesetzt werden. In Kapitel 2 sind die Grundlagen der Teilcheninterferometrie ausführlicher dargestellt. Der eigentliche Gegenstand dieser Arbeit ist experimentelle Analyse der Zwei- Teilchen-Korrelationen in einer Schwerionenreaktion. Dazu wird zunächst in Kapitel 3 das STAR Experiment am RHIC vorgestellt, in dem die Daten aufgezeichnet wurden, die Grundlage dieser Analyse sind. Am RHIC-Beschleuniger am BNL in den USA werden AuAu Kollisionen bis zu einer Schwerpunktsenergie von Wurzel aus SNN=200 GeV erzeugt. Figur 3.1 zeigt den Beschleuniger-Ring und die vier Experimente Brahms, Phenix, Phobos und STAR. Der hier analysierte Datensatz wurde bei der Datennahme im Jahr 2000 aufgezeichnet. Zu dieser Zeit wurde am RHIC eine Schwerpunktsenergie von Wurzel aus SNN=130 GeV erreicht. Bei einer zentralen AuAu Kollision werden mehrere Tausend Teilchen produziert. Der STAR Detektor ist dafür konzipiert, hadronische Teilchen kleiner Rapidität (d.h. großer Winkel zur Strahlachse) zu messen, innerhalb der Akzeptanz werden etwa 80% der produzierten geladenen Teilchen nachgewiesen. Der schematische Aufbau des STAR Detektorsystems ist in Figur 3.2 dargestellt. Der zentrale Detektor ist eine TPC (Zeit-Projektions-Kammer). Dieser Detektor basiert darauf, dass geladene Teilchen beim Durchgang durch ein Messgas eine Spur von Ionen hinterlassen. Ein starkes elektrisches Feld driftet die Elektronen, die bei den Ionisationsprozessen freigesetzt wurden, zu einer Ausleseebene. Der Punkt, an dem die Elektronen auf der Ausleseebene ein Signal erzeugen, entspricht der Projektion des Ionisationpunktes auf die Ausleseebene. Die dritte Komponente, die den Raumpunkt der Ionisation festlegt, ist durch die Driftzeit bei bekannter Driftgeschwindigkeit gegeben. So erscheint eine Teilchenspur als eine Kette von Ionisationspunkten im Detektorgas. Ein magnetisches Feld parallel zur Strahlachse führt zu einer Ablenkung der geladenen Teilchen. Die Krümmung der Spur ist dabei umgekehrt proportional zum transversalen Impuls. Abbildung 3.6 zeigt ein typisches Ereignis mit etwa 105 Ionisationspunkten und den entsprechenden Teilchenspuren. Der spezifische Energieverlust eines Teilchens beim Durchgang durch das Messgas hängt von seinem Impuls und seiner Masse ab. Die Stärke des auf der Ausleseebene induzierten Signals erlaubt den spezifischen Energieverlust zu bestimmen. Da der Impuls durch die Krümmung der Spur bekannt ist, kann so die Masse und damit die Identität des Teilchens bestimmt werden (siehe Abbildung 3.7). In Kapitel 4 wird der Datensatz beschrieben, der als Grundlage für diese Analyse dient. Während der Datennahme werden die digitalisierten Daten der TPC auf ein Speichermedium geschrieben. Der erste Schritt bei der Rekonstruktion der Ereignisse besteht darin, die Ionisationspunkte zu lokalisieren. Dies leistet der Clusterfinder- Algorithmus, der in Kapitel 4.1.1 beschrieben ist. Die Spurpunkte werden dann durch den Tracking-Algorithmus zu Teilchenspuren verbunden. Die erreichte Effizienz, Akzeptanz und Impulsauflösung der Rekonstruktion sind in Kapitel 4.1.2 zusammengefaßt. Die Zwei-Teilchen-Korrelationen werden nur für zentrale Kollisionen betrachtet, das sind Ereignisse mit kleinem Stoßparameter. Die Multipliztät der gemessenen Spuren ist in erster Näherung ein Maß für die Zentralität des Ereignisses. Für diese Analyse werden nur die 12% zentralsten Ereignisse zugelassen. Die Selektion der Ereignisse ist in Kapitel 4.2 beschrieben. Die Auswahl der Spuren, die in der Analyse verwendet werden, ist in Kapitel 4.3 beschrieben. Es werden nur Spuren zugelassen, deren Impulse in einem Bereich hinreichend hoher Akzeptanz und Effizienz liegen. Außerdem werden die Spuren ausgewählt, die mit hoher Wahrscheinlichkeit von Pionen stammen. Eine weitere Auswahl wird auf der Paarebene getroffen. Die Korrelationsfunktion wird in einzelnen Intervallen transversalen Paarimpulses kt und Paarrapidität Yðð gebildet. Damit kann die Abhängigkeit der HBT-Radien von diesen Größen dargestellt werden. Zwei weitere Auswahlkriterien sollen die Qualität der Spurpaare garantieren. Zum einen werden solche Paare verworfen, die im Detektor zu nahe beieinander liegen. Für die HBT-Analyse sind Paare mit geringem Impulsunterschied entscheidend, ein geringer Impulsunterschied heißt notwendigerweise, dass die Spuren räumlich nicht sehr weit getrennt sind. Wenn die Spuren aber zu nahe liegen, können sie vom Detektor und von der Rekonstruktionskette nicht mehr aufgelöst werden. Damit verliert man einen Teil der Paare in der Signalverteilung, nicht aber in der Untergrundverteilung, da in diesem Fall die endliche Zwei-Spur-Auflösung keine Rolle spielt. Um die Korrelationsfunktion nicht durch einen Detektoreffekt zu verfälschen, entfernt man die Paare, die im Detektor nahe beieinander liegen, sowohl in der Signal- als auch in der Untergrundverteilung. Ein weiteres Problem stellen "gebrochene" Spuren dar. In einigen Fällen wird eine Teilchenspur von der Rekonstruktionskette nicht als Ganzes erkannt, vielmehr werden zwei Spurstücke im Dektor gefunden. Da diese Spurstücke vom selben Teilchen stammen, haben sie eine sehr geringe Impulsdifferenz. Diese Paare können anhand ihrer Topologie im Detekor erkannt werden. Wie im Fall der begrenzten Zwei-Spur-Auflösung werden sie sowohl für die Signal- als auch für die Untergrundverteilung nicht zugelassen. In Kapitel 5 werden schließlich die Ergebnisse der Korrelationsanalyse dargestellt. Die Korrelationsfunktion wird in verschiedenen Parametrisierungen betrachtet. In der einfachsten Form betrachtet man nur den Betrag des Impulsdifferenzvektors. Dieser Ansatz bedeutet aber, dass der entsprechende HBT-Radius alle Raum-Zeit Komponenten mischt und damit nur wenig Aussagekraft bezüglich der Quellfunktion besitzt. Eine differenzierte Analyse in drei unabhängigen Komponenten ermöglichen die Pratt-Bertsch (PB) und die Yano-Koonin-Podgoretskii (YKP) Parametrisierung. Die beiden Parametrisierungen unterscheiden sich in der Zerlegung des Impulsdifferenzvektors in drei unabhängige Komponenten. Im ersten Fall bezeichnet man die Komponenten als qout, qlong und qside, im zweiten Fall als qpara, qperp und q0 (Kapitel 2.7 und 2.8). Die entsprechenden Korrelationsfunktionen sind in Gleichung 2.31 bzw. 2.34 gegeben. Die jeweiligen HBT-Radien Rout, Rlong und Rside bzw. Rpara, Rperp und R0 können in Relation zu den Parametern der Quellfunktion (Gleichung 2.43) gesetzt werden. Die beiden Parametrisierungen liefern im Prinzip die gleiche Information und die beiden Sätze von HBT-Radien können in Beziehung zueinander gesetzt werden (Gleichung 2.41). Beispielsweise entspricht der HBT-Radius R0 in der YKP-Parametrisierung in erster Näherung der Emissionsdauer, während in der PB- Parametrisierung diese Größe Verhältnis von Rout zu Rside abhängt. Zusätzlich zu den Radien enthält die YKP-Parametrisierung einen Parameter ß, der erlaubt, die longitudinale Geschwindigkeit des betrachteten Quellelementes zu bestimmen. Die Abbildungen 5.7 bis 5.10 zeigen die HBT-Radien beider Parametrisierungen in Abhänigigkeit vom transversalen Paarimpuls kt und von der Paarrapidität Yðð. Die Größe der gemessenen Radien bewegt sich zwischen 3 und 7 fm. Nur der Radius R0 verschwindet in den meisten kt-Yðð Intervallen. Die anderen Radien nehmen mit steigendem kt ab und sind unabhängig von Yðð . Abbildung 5.11 demonstriert, dass die beiden Parametrisierungen -dort wo sie vergleichbar sind- konsistente Ergebnisse liefern. Eine Diskussion der Ergebnisse schließt sich in Kapitel 6 an. Die Abhänigigkeit des Parameters ß von Yðð zeigt eine starke longitudinale Expansion an. Ein ähnliches Verhalten wurde bei niedrigeren Schwerpunktsenergien beobachtet, wo man allerdings eine schwächere longitudinale Expansion erwarten würde. Die Lebensdauer der Quelle, also die Zeit vom anfänglichen Überlapp der Kerne bis zum thermischen Ausfrieren, bestimmt die kt-Abhänigigkeit des Parameters Rlong. Dieser Zusammenhang wurde von Mahklin und Sinyukow formuliert, eine Anpassung der entsprechenden Funktion an die gemessene kt Abhänigigkeit von Rlong ergibt eine Lebensdauer von etwa 8 fm/c bei einer Ausfriertemperatur von etwa 126 MeV. Entsprechende Messungen bei niedrigeren Kollisionsenergien lieferten ähnliche Resultate. Die kt-Abhängigkeit des Parameters Rside ist mit der Stärke der transversalen Expansion gemäß Gleichung 6.3 verknüpft. Da die Relation nicht eindeutig ist, muß entweder eine feste Ausfriertemperatur angenommen werden oder es werden gleichzeitig Einteilchenspektren betrachtet, um die Mehrdeutigkeit zu eliminieren. Eine vorläufige Abschätzung ergibt eine mittlere transversale Expansions- geschwindigkteit von v ungefähr gleich 0.6 und einen gemetrischen Radius von RG ungefähr gleich 7.4 fm . Auch diese Ergebnisse sind vergleichbar mit entsprechenden Resultaten bei niedrigeren Kollisionsenergien. Ein weiterer Parameter der Quellfunktion ist die Emissionsdauer. Die Pionen werden nicht zu einem festen Zeitpunkt emittiert, man geht vielmehr davon aus, dass die Zeitpunkte der letzten elastischen Wechselwirkung in der Quelle gaußförmig verteilt sind. Den Mittelwert dieser Verteilung bezeichnet man als Lebensdauer der Quelle, die Breite als Emissionsdauer. Entsprechend Gleichung 6.4 bzw. 6.5 ist die Emissionsdauer mit dem Radius R0 bzw. dem Verhältnis Rout zu Rside verbunden. Wie in Abbildung 5.8 ersichtlich verschwindet der Parameter R0 , außer im kleinsten kt Intervall. Dies entspricht in der PB-Parametrisierung der Tatsache, dass das Verhältnis Rout zu Rside bei hohen kt kleiner als eins ist. Diese Resultate sind nicht vereinbar mit herkömmlichen Modellen. Insbesondere weil eine verlängerte Emissionsdauer als Signatur für die Bildung eines Quark-Gluon-Plasmas vorgeschlagen wurde, wird dieses Ergebnis derzeit intensiv diskutiert. Die Ergebnisse dieser Analyse sind sowohl mit bereits publizierten Daten der STAR Kollaboration als auch mit Resultaten von anderen RHIC Experimenten verträglich (siehe Abbildung 6.8). In Abbildung 6.9 ist die Abhängigkeit der HBT-Radien von kt bei verschiedenen Schwerpunktsenergien dargestellt. Im Gegensatz zu vielen anderen Observablen ändern sich die HBT Radien nur geringfügig. Da man erwartet, dass die Reaktion bei hohen Energien vollkommen anders abläuft, würde man auch davon ausgehen, dass sich die Ausfrierbedingungen ändern. Dass dies nicht in den Zwei-Teilchen- Korrelationen sichtbar wird, deutet darauf hin, dass die Näherungen die notwendig sind, um die gemessenen Radien mit Modellparametern zu verbinden, nicht gültig sind. Die Systematik der HBT Parameter als Funktion der Schwerpunktsenergie enthält damit keinen direkten Hinweis, dass die kritische Energiedichte überschritten wurde, ab der die Kernmaterie in einer Plasmaphase vorliegt. Andererseits werden weder die verschwindende Emissionsdauer noch die Tatsache, dass die anderen HBT-Parameter sich nur wenig mit der Schwerpunktsenergie ändern, als Argument dafür gewertet, dass die kritische Energiedichte nicht überschritten wurde. Die Frage, ob ein Quark- Gluon-Plasma im Labor erzeugt und analysiert werden kann, bleibt damit offen. Das thermische Ausfrieren einer Pionenquelle scheint hingegen anders zu verlaufen, als bisher angenommen wurde. Systematische Studien der Korrelationsfunktion in AA Kollisionen am RHIC in Kombination mit Fortschritten im theoretischen Verständnis der Teilcheninterferometrie in Schwerionenreaktion werden in Zukunft hoffentlich erlauben, die gemessenen Radien in ein konsistentes Bild einzuordnen. In zukünftigen Experimenten am LHC werden noch weit höhere Dichten erreicht als bisher, damit sollten sich auch die Ausfrierbedingungen stark verändern. Es wird sich dann zeigen, ob die Teilcheninterferometrie das geeignete Instrument ist, um die Quellfunktion einer Schwerionenreaktion zu messen.
Ein wesentliches Ziel der Physik mit schweren Ionen ist die Untersuchung der Zustände von Kernmaterie bei hohen Dichten bzw. Temperaturen. Solche Zustände lassen sich durch Kollisionen von hochenergetischen schweren Ionen in Teilchenbeschleunigern wie dem Super Proton Synchrotron SPS am Europäischen Kernforschungszentrum CERN in Genf erzeugen und untersuchen. Die vorliegende Arbeit beschäftigt sich mit der Analyse des Einflusses des in einer solchen Kollision erzeugten Mediums auf hochenergetische Teilchen, welche dieses Medium durchqueren. Hierzu werden Korrelationen zwischen Teilchen mit hohem Transversalimpuls pt als Funktion der Zentralität der Kollisionen und der Ladung der beteiligten Teilchen untersucht. Ziel ist es, hierdurch eine experimentelle Grundlage für die theoretische Beschreibung der Eigenschaften des Mediums in solchen Kollisionen bereitzustellen. ...