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Oscillations play a critical role in cognitive phenomena and have been observed in many brain regions. Experimental evidence indicates that classes of neurons exhibit properties that could promote oscillations, such as subthreshold resonance and electrical gap junctions. Typically, these two properties are studied separately but it is not clear which is the dominant determinant of global network rhythms. Our aim is to provide an analytical understanding of how these two effects destabilize the fluctuation-driven state, in which neurons fire irregularly, and lead to an emergence of global synchronous oscillations. Here we show how the oscillation frequency is shaped by single neuron resonance, electrical and chemical synapses.The presence of both gap junctions and subthreshold resonance are necessary for the emergence of oscillations. Our results are in agreement with several experimental observations such as network responses to oscillatory inputs and offer a much-needed conceptual link connecting a collection of disparate effects observed in networks.
A measurement of the transverse momentum spectra of jets in Pb-Pb collisions at sNN−−−√=2.76 TeV is reported. Jets are reconstructed from charged particles using the anti-kT jet algorithm with jet resolution parameters R of 0.2 and 0.3 in pseudo-rapidity |η|<0.5. The transverse momentum pT of charged particles is measured down to 0.15 GeV/c which gives access to the low pT fragments of the jet. Jets found in heavy-ion collisions are corrected event-by-event for average background density and on an inclusive basis (via unfolding) for residual background fluctuations and detector effects. A strong suppression of jet production in central events with respect to peripheral events is observed. The suppression is found to be similar to the suppression of charged hadrons, which suggests that substantial energy is radiated at angles larger than the jet resolution parameter R=0.3 considered in the analysis. The fragmentation bias introduced by selecting jets with a high pT leading particle, which rejects jets with a soft fragmentation pattern, has a similar effect on the jet yield for central and peripheral events. The ratio of jet spectra with R=0.2 and R=0.3 is found to be similar in Pb-Pb and simulated PYTHIA pp events, indicating no strong broadening of the radial jet structure in the reconstructed jets with R<0.3.
Within the nucleosynthetic processes of the slow neutron-capture reaction network (called the s process) the so called branching points, unstable isotopes where different nuclear reactions are competing, are important to understand . For modeling and calculating the nucleosynthesis and compare the resulting abundances to the observed ones, it is indispensable to know the branching ratios as well as the corresponding cross sections.
A great challenge in measuring those rates in experiments may be the radioactivity of the isotopes involved, which can make it nearly impossible to manufacture the needed targets. In addition, in stellar environments the excited states of isotopes can be in equilibrium with the ground state, affecting the half-lives and the branching ratios significantly. The isotope 152Eu is such a branching point, with neutron captures and β-decays competing. Those challenges were approached in the s405 experiment performed at the GSI Helmholtzzentrum für Schwerionenforschung GmbH: the challenge the challenge of the radioactivity can be approached by experiments carried out in inverse kinematics with radioactive beams, solving the problem of unstable targets. Also a reversed reaction was used to access the excited states of the studied isotope. The performed 152Sm(p,n)152Eu is a pioneering attempt to use those methods on heavy ions. The (p,n) reaction was used as a substitute for electron capture, the focus lies on reactions with low-momentum transfers, resulting in the emission of low-energy neutrons. The new developed low-energy detector array LENA was put to test for the fist time in the s405 experiment.
This thesis presents experimental studies of proton capture and fragmentation reactions with heavy-ion storage rings. In one experiment, the 96Ru(p, γ)97Rh cross sections near the Gamow window have been measured at the ESR of GSI. In the other experiment, the measurement of the fragmentation yields has been carried out at the CSRe of IMP.
It is essential to determine the cross sections of (γ, p) or (p, γ) reactions for p-process network calculations. However, only very few of the required cross sections have been measured and thus most of them rely solely on Hauser-Feshbach model predictions. The predictions of the model have always very large uncertainties because of the not well-known input parameters. These parameters can be constrained by experiments. Compared to the traditional activation technique, a novel method using a storage ring has been developed to measure the cross sections of (p, γ) reactions in inverse kinematics.
This proton capture experiment has been performed at the ESR, where the circulating 96Ru44+ ions interacted with a hydrogen gas target at 9, 10 and 11 MeV/u. The nuclear reaction products of (p, p), (p, α), (p, n) and (p, γ) reactions were registered by position sensitive detectors. A Geant4 simulation code has been developed to distinguish the (p, γ) reaction products unambiguously from the background reactions. In this work, a relative normalization method has been utilized to accurately determine the cross sections of the (p, γ) reaction. The 96Ru(p, γ)97Rh cross section in the Gamow window of the p process is sensitive to two parameters, i.e., the γ-ray strength function and the optical model potential, while it is mainly sensitive to the γ-ray strength function in the energy region of our experiment. Therefore, our experimental (p, γ) cross sections near 10 MeV/u have been used to directly constrain the γ-ray strength function used in the model. Furthermore, the proton potential has also been constrained by combining our results with additional experimental data for this reaction in the lower energy region. The constrained model has been used to calculate the reaction rate over a wide temperature range, which is an extremely important input for astrophysical calculations.
The yields of fragments produced by 78Kr fragmentation reactions have been measured at the CSRe for the Tz = −1/2 and Tz = 1/2 nuclei along or close to the paths of αp- and rp-processes. The measured yields present a significant odd-even staggering effect for Tz = −1/2 nuclides but they are small for Tz = 1/2 nuclides.
The magnitude of this effect for four consecutive yields has been quantified using a third-order difference formula. It is found that the largest odd-even staggering is reached near the closed shells Z = 20 and Z = 28. Our experimental results could also compared with the data from other experiments with different projectile-target combinations. All these experimental data strongly support the closed shells Z = 20 and Z = 28 for the Tz = −1/2 nuclei.
This work derived the value of α-induced production cross sections of 77Kr and 77Br at α-energies of 12 MeV and 14 MeV, the thick target yields of 77Kr and 77Br at α-energies of 11.19 MeV, 13 MeV and 15.1 MeV and the thick target yield of 80Br as well as 80mBr at an α-energy of 15.1 MeV using the activation technique...
XIII Nuclei in the Cosmos, 7-11 July, 2014 Debrecen, Hungary.
As an alternative production scenario to the so-called g process, the most abundant p nucleus 92Mo may be produced by a chain of proton-capture reactions in supernovae type Ia. The reactions 90Zr(p,g) and 91Nb(p,g) are the most important reactions in this chain. We have measured the first reaction using high-resolution in-beam g-spectroscopy at HORUS, Cologne, Germany, to contribute to the existing experimental data base. So far, we only investigated the high-energy part of the Gamow window and the analysis is still in progress. We plan to study the second reaction in standard kinematics at the FRANZ facility, Frankfurt, Germany. Current developments at FRANZ will be explained in detail.
Cryo-electron tomography (CET) is a unique technique to visualize biological objects under near-to-native conditions at near-atomic resolution. CET provides three-dimensional (3D) snapshots of the cellular proteome, in which the spatial relations between macromolecular complexes in their near native cellular context can be explored. Due to the limitation of the electron dose applicable on biological samples, the achievable resolution of a tomogram is restricted to a few nanometers, higher resolution can be achieved by averaging of structures occurring in multiples. For this purpose, computational techniques such as template matching, sub-tomogram averaging and classification are essential for a meaningful processing of CET data.
This thesis introduces the techniques of template matching and sub-tomogram averaging and their applications on real biological data sets. Subsequently, the problem of reference bias, which restricts the applicability of those techniques, is addressed. Two methods that estimate the reference bias in Fourier and real space are demonstrated. The real space method, which we have named the “M-free” score, provides a reliable estimation of the reference bias, which gives access to the reliability of the template matching or sub-tomogram averaging process. Thus, the “M-free” score makes those approaches more applicable to structural biology. Furthermore, a classification algorithm based on Neural Networks (NN) called “KerDenSOM3D” is introduced, which is implemented in 3D and compensates for the missing-wedge. This approach helps extracting different structural states of macromolecular complexes or increasing the class purity of data sets by eliminating outliers. A comprehensive comparison with other classification methods shows superior performance of KerDenSOM3D.
FIAS Scientific Report 2013
(2014)
Conventional radar-based image reconstruction techniques fail when they are applied to heterogeneous breast tissue, since the underlying in-breast relative permittivity is unknown or assumed to be constant. This results in a systematic error during the process of image formation. A recent trend in microwave biomedical imaging is to extract the relative permittivity from the object under test to improve the image reconstruction quality and thereby to enhance the diagnostic assessment. In this paper, we present a novel radar-based methodology for microwave breast cancer detection in heterogeneous breast tissue integrating a 3D map of relative permittivity as a priori information. This leads to a novel image reconstruction formulation where the delay-and-sum focusing takes place in time rather than range domain. Results are shown for a heterogeneous dense (class-4) and a scattered fibroglandular (class-2) numerical breast phantom using Bristol's 31-element array configuration.
The elements in the universe are mainly produced by charged-particle fusion reactions and neutron-capture reactions. About 35 proton-rich isotopes, the p-nuclei, cannot be produced via neutron-induced reactions. To date, nucleosynthesis simulations of possible production sites fail to reproduce the p-nuclei abundances observed in the solar system. In particular, the origin of the light p-nuclei 92Mo, 94Mo, 96Ru and 98Ru is little understood. The nucleosynthesis simulations rely on assumptions about the seed abundance distributions, the nuclear reaction network and the astrophysical environment. This work addressed the nuclear data input.
The key reaction 94Mo(g,n) for the production ratio of the p-nuclei 92Mo and 94Mo was investigated via Coulomb dissociation at the LAND/R3B setup at GSI Helmholtzzentrum für Schwerionenforschung in Darmstadt, Germany. A beam of 94Mo with an energy of 500 AMeV was directed onto a lead target. The neutron-dissociation reactions following the Coulomb excitation by virtual photons of the electromagnetic field of the target nucleus were investigated. All particles in the incoming and outgoing channels of the reaction were identified and their kinematics were determined in a complex analysis. The systematic uncertainties were analyzed by calculating the cross sections for all possible combinations of the data selection criteria. The integral Coulomb dissociation cross section of the reaction 94Mo(g,n) was determined to be (571 +- 14 (stat) +- 46 (syst) ) mb. The result was compared to the data obtained in a real photon experiment carried out at the Saclay linear accelerator. The ratio of the integral cross sections was found to be 0.63 +- 0.07, which is lower than the expected value of about 0.8.
The nucleosynthesis of the light p-nuclei 92Mo, 94Mo, 96Ru and 98Ru was investigated in post-processing nucleosynthesis simulations within the NuGrid research platform. The impact of rate uncertainties of the most important production and destruction reactions was studied for a Supernova type II model. It could be shown that the light p-nuclei are mainly produced via neutron-dissociation reactions on heavier nuclei in the isotopic chains, and that the final abundances of these p-nuclei are determined by their main destruction reactions. The nucleosynthesis of 92Mo and 94Mo was also studied in different environments of a Supernova type Ia model. It was concluded that the maximum temperature and the duration of the high temperature phase determine the final abundances of 92Mo and 94Mo.
The PANDA experiment at FAIR will perform world class physics studies using high-intensity cooled antiproton beams with momenta between 1.5 and 15 GeV/c. A rich physics program requires very good particle identification (PID). Charged hadron PID for the barrel section of the target spectrometer has to cover the angular range of 22-140° and separate pions from kaons for momenta up to 3.5 GeV/c with a separation power of at least 3 standard deviations. The system that will provide it has to be thin and operate in a strong magnetic field. A ring imaging Cherenkov detector using the DIRC principle meets those requirements. The design of the PANDA Barrel DIRC is based on the successful BABAR DIRC counter with several important changes to improve the performance and optimize the costs. The design options are being studied in detailed Monte Carlo simulation, and implemented in increasingly complex system prototypes and tested in particle beams. Before building the full system prototypes the radiator bars and lenses are measured on the test benches. The performance of the DIRC prototype was quantified in terms of the single photon Cherenkov angle resolution and the photon yield. Results for two full system prototypes will be presented. The prototype in 2011 aimed at investigating the full size expansion volume. It was found that the resolution for this configuration is at the level of in good agreement with ray tracing simulation results. A more complex prototype, tested in 2012, provided the first experience with a compact fused silica prism expansion volume, a wide radiator plate, and several advanced lens options for the focusing system. The performance of the baseline configuration of the prototype with a standard lens and an air gap met the requirements for the PANDA PID for most of the polar angle range but failed at polar angles around 90° due to photon loss at the air gap. Measurements with a prototype high-refractive index compound lens without an air gap at a polar angle of 128° beam angle showed a good resolution of σΘC = 11.8 ± 0.7 mrad and a high photon yield of Nph = 26.1 ± 0.4. Even at polar angles close to 90° the photon yield with this lens exceeded 15 detected photons per particle, meeting the PANDA Barrel DIRC PID requirements for the entire phase space and demonstrating that the compact focusing DIRC is a very promising option for PANDA.
We present the results of two-pion production in tagged quasi-free np collisions at a deutron incident beam energy of 1.25 GeV/c measured with the High-Acceptance Di-Electron Spectrometer (HADES) installed at GSI. The specific acceptance of HADES allowed for the first time to obtain high-precision data on π+π− and π−π0 production in np collisions in a region corresponding to large transverse momenta of the secondary particles. The obtained differential cross section data provide strong constraints on the production mechanisms and on the various baryon resonance contributions (∆∆, N(1440), N(1520), ∆(1600)). The invariant mass and angular distributions from the np → npπ+π −and np → ppπ−π0 reactions are compared with different theoretical model predictions.
We have measured the radiative neutron-capture cross section and the total neutron-induced cross section of one of the most important isotopes for the s process, the 25Mg. The measurements have been carried out at the neutron time-of-flight facilities n_TOF at CERN (Switzerland) and GELINA installed at the EC-JRC-IRMM (Belgium). The cross sections as a function of neutron energy have been measured up to approximately 300 keV, covering the energy region of interest to the s process. The data analysis is ongoing and preliminary results show the potential relevance for the s process.
The ab-initio molecular dynamics framework has been the cornerstone of computational solid state physics in the last few decades. Although it is already a mature field it is still rapidly developing to accommodate the growth in solid state research as well as to efficiently utilize the increase in computing power. Starting from the first principles, the ab-initio molecular dynamics provides essential information about structural and electronic properties of matter under various external conditions. In this thesis we use the ab-initio molecular dynamics to study the behavior of BaFe2As2 and CaFe2As2 under the application of external pressure. BaFe2As2 and CaFe2As2 belong to the family of iron based superconductors which are a novel and promising superconducting materials. The application of pressure is one of two key methods by which electronic and structural properties of iron based superconductors can be modified, the other one being doping (or chemical pressure). In particular, it has been noted that pressure conditions have an important effect, but their exact role is not fully understood. To better understand the effect of different pressure conditions we have performed a series of ab-initio simulations of pressure application. In order to apply the pressure with arbitrary stress tensor we have developed a method based on the Fast Inertial Relaxation Engine, whereby the unit cell and the atomic positions are evolved according to the metadynamical equations of motion. We have found that the application of hydrostatic and c axis uniaxial pressure induces a phase transition from the magnetically ordered orthorhombic phase to the non-magnetic collapsed tetragonal phase in both BaFe2As2 and CaFe2As2. In the case of BaFe2As2, an intermediate tetragonal non-magnetic tetragonal phase is observed in addition. Application of the uniaxial pressure parallel to the c axis reduces the critical pressure of the phase transition by an order of magnitude, in agreement with the experimental findings. The in-plane pressure application did not result in transition to the non-magnetic tetragonal phase and instead, rotation of the magnetic order direction could be observed. This is discussed in the context of Ginzburg-Landau theory. We have also found that the magnetostructural phase transition is accompanied by a change in the Fermi surface topology, whereby the hole cylinders centered around the Gamma point disappear, restricting the possible Cooper pair scattering channels in the tetragonal phase. Our calculations also permit us to estimate the bulk moduli and the orthorhombic elastic constants of BaFe2As2 and CaFe2As2.
To study the electronic structure in systems with broken translational symmetry, such as doped iron based superconductors, it is necessary to develop a method to unfold the complicated bandstructures arising from the supercell calculations. In this thesis we present the unfolding method based on group theoretical techniques. We achieve the unfolding by employing induced irreducible representations of space groups. The unique feature of our method is that it treats the point group operations on an equal footing with the translations. This permits us to unfold the bandstructures beyond the limit of translation symmetry and also formulate the tight-binding models of reduced dimensionality if certain conditions are met. Inclusion of point group operations in the unfolding formalism allows us to reach important conclusions about the two versus one iron picture in iron based superconductors.
And finally, we present the results of ab-initio structure prediction in the cases of giant volume collapse in MnS2 and alkaline doped picene. In the case of MnS2, a previously unobserved high pressure arsenopyrite structure of MnS2 is predicted and stability regions for the two competing metastable phases under pressure are determined. In the case of alkaline doped picene, crystal structures with different levels of doping were predicted and used to study the role of electronic correlations.
We discuss recent applications of the partonic perturbative QCD based cascade model BAMPS with focus on heavy-ion phenomenology in the hard and soft momentum range. First, the elliptic flow and suppression of charm and bottom quarks are studied at LHC energies. Thereafter, we compare in a detailed study the standard Gunion-Bertsch approximation of the matrix elements for inelastic processes to the exact results in leading order perturbative QCD. Since a disagreement is found, we propose an improved Gunion-Bertsch matrix element, which agrees with the exact result in all phase space regions.
We investigate the properties of the QCD matter across the deconfinement phase transition. In the scope of the parton-hadron string dynamics (PHSD) transport approach, we study the strongly interacting matter in equilibrium as well as the out-of equilibrium dynamics of relativistic heavy-ion collisions. We present here in particular the results on the electromagnetic radiation, i.e. photon and dilepton production, in relativistic heavy-ion collisions and the relevant correlator in equilibrium, i.e. the electric conductivity. By comparing our calculations for the heavy-ion collisions to the available data, we determine the relative importance of the various production sources and address the possible origin of the observed strong elliptic flow ν2 of direct photons.
We present results for calculating fusion cross-sections using a new microscopic approach based on a time-dependent density-constrained DFT calculations. The theory is implemented by using densities and other information obtained from TDDFT time-evolution of the nuclear system as a constraint on the density for DFT calculations.
We enlarge the so-called extended linear Sigma model (eLSM) by including the charm quark according to the global U(4)r × U(4)l chiral symmetry. In the eLSM, besides scalar and pseudoscalar mesons, also vector and axial-vector mesons are present. Almost all the parameters of the model were fixed in a previous study of mesons below 2 GeV. In the extension to the four-flavor case, only three additional parameters (all of them related to the bare mass of the charm quark) appear.We compute the (OZI dominant) strong decays of open charmed mesons. The results are compatible with the experimental data, although the theoretical uncertainties are still large.
In the framework of an interference setup in which only two outcomes are possible (such as in the case of a Mach–Zehnder interferometer), we discuss in a simple and pedagogical way the difference between a standard, unitary quantum mechanical evolution and the existence of a real collapse of the wavefunction. This is a central and not-yet resolved question of quantum mechanics and indeed of quantum field theory as well. Moreover, we also present the Elitzur–Vaidman bomb, the delayed choice experiment, and the effect of decoherence. In the end, we propose two simple experiments to visualize decoherence and to test the role of an entangled particle.
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.
Focus on quantum efficiency
(2014)
Technologies which convert light into energy, and vice versa, rely on complex, microscopic transport processes in the condensed phase, which obey the laws of quantum mechanics, but hitherto lack systematic analysis and modeling. Given our much improved understanding of multicomponent, disordered, highly structured, open quantum systems, this ‘focus on’ collection collects cuttingedge research on theoretical and experimental aspects of quantum transport in truly complex systems as defined, e.g., by the macromolecular functional complexes at the heart of photosynthesis, by organic quantum wires, or even photovoltaic devices. To what extent microscopic quantum coherence effects can (be made to) impact on macroscopic transport behavior is an equally challenging and controversial question, and this "focus on" collection provides a setting for the present state of affairs, as well as for the "quantum opportunities" on the horizon.
In this thesis, a novel 257 kHz chopper device was numerically developed, technically designed and experimentally commissioned; a 4-solenoid, low-energy ion beam transport line was numerically investigated, installed and experimentally commissioned; and a novel massless beam-separation system was numerically developed.
The chopper combines a pulsed electric field with a static magnetic field in an ExB or Wien-filter type field configuration. Chopped beam pulses with a 257 kHz repetition rate and rise times of 110 ns were experimentally achieved using a 14 keV helium beam.
Due to the achieved results, the complete LEBT line for the future Frankfurt Neutron Source FRANZ is ready to deliver a dc or a pulsed beam. At the same time, the LEBT section represents an attractive test stand for the study of low-energy ion beams. It combines magnetic lenses, which allow space-charge compensated beam transport, and a chopper system capable of producing short beam pulses in the hundred nanosecond range. Since these beam pulses are transported onwards, their longitudinal and transverse properties can be analyzed. The pulse duration and time of flight are well below the rise time for the space-charge compensation through residual gas ionization. This opens the possibility for dedicated investigations of the transport of short, low-energy beam pulses including longitudinal and transverse space-charge effects and of relevant issues like the dynamics of space-charge compensation and electron effects in short pulses.
Der Radiofrequenzquadrupol (RFQ) wird typischerweise als erstes beschleunigendes Element in Beschleunigeranlagen eingesetzt. Das elektrische Quadrupolfeld ermöglicht die gleichzeitige Fokussierung und Beschleunigung des Ionenstrahls. Zudem ist der RFQ in der Lage den Gleichstromstrahl von der Ionenquelle zu Teilchenpaketen (Bunche) zu formen, die von den nachfolgenden Driftröhrenbeschleunigern benötigt werden. Ziel der vorliegenden Arbeit war die Untersuchung zur Realisierbarkeit eines 325 MHz 4-rod RFQ Beschleunigers. Die Frequenz von 325 MHz stellt eine ungewöhnlich hohe Betriebsfrequenz für die 4-rod Struktur dar und wird z.B. für den Protonenlinac des FAIR Projektes benötigt. Ein Problem hierbei war, dass durch die bauartbedingten unsymmetrischen Elektrodenaufhängung und der hohen Frequenz ein, das Quadrupolfeld überlagerndes, Dipolfeld erzeugt wird. Dieses störende Feld kann z.B. zu einem Versatz der Strahlachse führen. Hierzu wurde die 4-rod Struktur in Simulationen grundlegend auf Einflüsse von verschiedenen Parametern auf die Resonanzfrequenz und das Dipolfeld untersucht. Es wurden Lösungsstrategien erarbeitet das Diopolfeld zu kompensieren und auf einen Prototypen angewendet. Zudem wurde das Verhalten höherer Schwingungsmoden dieser Struktur simuliert. In diesem Rahmen wurden auch Simulationen zu Randfeldern zwischen den 4-rod Elektroden und der Tankwand untersucht, um nachteilige Effekte für die Strahlqualität auszuschließen. Basierend auf den Simulationsergebnissen wurde ein Prototyp angefertigt. Dieser Prototyp wurde zur Demonstration der Betriebseigenschaften mit Leistungen bis 40 kW getestet. Hierbei wurde die Elektrodenspannung mittels Gammaspektroskopie bestimmt und daraus die Shuntimpedanz berechnet. Diese Werte wurden mit anderen Methoden der Shuntimpedanzbes- timmung verglichen. Außerdem wurden alternative RFQ Resonatorkonzepte ebenfalls auf ihre Realisierbarkeit für den Protonenlinac untersucht. Die Einflüsse verschiedener Parameter auf die Betriebsfrequenz, die Möglichkeiten des Frequenztunings und der Einstellung der longitudinalen Spannungsverteilung gefertigter Modelle wurden in einer Diskussion gegenübergestellt.
We study the equilibrium properties of strongly-interacting infinite parton-hadron matter, characterized by the transport coefficients such as shear and bulk viscosity and electric conductivity, and the non-equilibrium dynamics of heavy-ion collisions within the Parton-Hadron-String Dynamics (PHSD) transport approach, which incorporates explicit partonic degrees of freedom in terms of strongly interacting quasiparticles (quarks and gluons) in line with an equation of state from lattice QCD as well as the dynamical hadronization and hadronic collision dynamics in the final reaction phase. We discuss in particular the possible origin for the strong elliptic flow v2 of direct photons observed at RHIC energies.
The laser-driven acceleration of protons from thin foils irradiated by hollow high-intensity laser beams in the regime of target normal sheath acceleration is reported for the first time. The use of hollow beams aims at reducing the initial emission solid angle of the TNSA source, due to a flattening of the electron sheath at the target rear side. The experiments were conducted at the PHELIX laser facility at the GSI Helmholtzzentrum für Schwerionenforschung GmbH with laser intensities in the range from 10^18 to 10^20 W/cm^2. We observed an average reduction of the half opening angle by (3.07±0.42)° or (13.2±2)% when the targets have a thickness between 12 to 14 μm. In addition, the highest proton energies were achieved with the hollow laser beam in comparison to the typical Gaussian focal spot.
The subatomic world is governed by the strong interactions of quarks and gluons, described by Quantum Chromodynamics (QCD). Quarks experience confinement into colour-less objects, i.e. they can not be observed as free particles. Under extreme conditions such as high temperature or high density, this constraint softens and a transition to a phase where quarks and gluons are quasi-free particles (Quark-Gluon-Plasma) can occur. This environment resembles the conditions prevailing during the early stages of the universe shortly after the Big Bang.
The phase diagram of QCD is under investigation in current and future collider experiments, for example at the Large Hadron Collider (LHC) or at the Facility for Antiproton and Ion Research (FAIR). Due to the strength of the strong interactions in the energy regime of interest, analytic methods can not be applied rigorously. The only tool to study QCD from first principles is given by simulations of its discretised version, Lattice QCD (LQCD).
These simulations are in the high-performance computing area, hence, the numerical aspects of LQCD are a vital part in this field of research. In recent years, Graphic Processing Units (GPUs) have been incorporated in these simulations as they are a standard tool for general purpose calculations today.
In the course of this thesis, the LQCD application cl2qcd has been developed, which allows for simulations on GPUs as well as on traditional CPUs, as it is based on OpenCL. cl2qcd constitutes the first application for Wilson type fermions in OpenCL.
It provides excellent performance and has been applied in physics studies presented in this thesis. The investigation of the QCD phase diagram is hampered by the notorious sign-problem, which restricts current simulation algorithms to small values of the chemical potential.
Theoretically, studying unphysical parameter ranges allows for constraints on the phase diagram. Of utmost importance is the clarification of the order of the finite temperature transition in the Nf=2 chiral limit at zero chemical potential. It is not known if it is of first or second order. To this end, simulations utilising Twisted Mass Wilson fermions aiming at the chiral limit are presented in this thesis.
Another possibility is the investigation of QCD at purely imaginary chemical potential. In this region, QCD is known to posses a rich phase structure, which can be used to constrain the phase diagram of QCD at real chemical potential and to clarify the nature of the Nf=2 chiral limit. This phase structure is studied within this thesis, in particular the nature of the Roberge-Weiss endpoint is mapped out using Wilson fermions.
Das Schwerionenkollisionen Programm der Beschleuniger RHIC und LHC gibt Hinweise auf einen neuen Zustand hadronischer Materie --- das Quark-Gluon Plasma. Dieses zeichnet sich durch eine zumindest partielle Aufhebung des confinements aus, welches besagt, dass keine freien Quarks beochtbar sind.
Aus einer Beschreibung der experimentellen Daten mit relativistischer Hydrodynamik folgen weitere Eigenschaften. So geht das in einer Schwerionenkollision erzeugte Quark-Gluon Plasma nach sehr kurzer Zeit, etwa 1 fm/c, in ein zumindest lokales thermisches Gleichgewicht über. Durch die Lorentzkontraktion der beiden Schwerionen erwartet man, dass der Zustand direkt nach der Kollision durch eine Impulsanisotropie in der transversal-longitudinalen Ebene bestimmt wird. Somit setzt das Erreichen eines thermischen Gleichgewichts zunächst eine Isotropisierung voraus. Bisherige Studien haben gezeigt, dass gluonische Moden bei dieser Isotropisierung durch Verursachung einer chromo-Weibel Instabilität eine entscheidende Rolle spielen.
Weiterhin verhält sich das Quark-Gluon Plasma wie eine fast perfekte Flüssigkeit. Eine Berücksichtigung dissipativer Terme in der hydrodynamischen Beschreibung erfordert das Hinzufügen weiterer Terme zu den entsprechenden Bewegungsgleichungen. Diese sind proportional zu Transportkoeffizienten, welche durch die zugrunde liegende mikroskopische Theorie festgelegt sind.
Diese Theorie ist Quantenchromodynamik. Sie beschreibt die starke Wechselwirkung der Quarks und Gluonen und ist ein fundamentaler Baustein des Standardmodells der Teilchenphysik. Da im Regelfall Prozesse der starken Wechselwirkung nichtperturbativ sind, beschreiben wir QCD unter Verwendung einer Gitterregularisierung. Diese beruht auf einer Diskretisierung der vierdimensionalen Euklidischen Raumzeit durch einen Hyperkubus mit periodischen Randbedingungen und ermöglicht ein Lösen der QCD mit numerischen Methoden. Allerdings ist die Anwendung der Gittereichtheorie auf Systeme im thermischen Gleichgewicht beschränkt und kann somit keine Prozesse beschreiben, die auf Echtzeit basieren.
Transportkoeffizienten entsprechen Proportionalitätskoeffizienten, die die Relaxation einer Flüssigkeit oder eben eines Quark-Gluon Plasmas von einer kleinen Störung beschreiben. Damit sind sie unmittelbar mit der Zeit verknüpft. Über Kubo-Formeln lassen sie sich jedoch mit Gleichgewichtserwartungswerten retardierter Korrelatoren verknüpfen und werden so in Gitter QCD zugänglich.
In der vorliegenden Dissertation berechnen wir den Transportkoeffizienten κ in Gittereichtheorie für das Yang-Mills Plasma. Dabei nutzen wir aus, dass dieser Transportkoeffizient eine triviale analytische Fortsetzung vom retardierten zum Euklidischen Korrelator besitzt, welcher direkt in Gittereichtheorie zugänglich ist. Es ist die erste nichtperturbative Berechnung eines Transportkoeffizienten in QCD ohne weitere Annahmen, wie die Maximum Entropie Methode oder Ansätze, zu treffen.
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.
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.
Fast nuclei are ionizing radiation which can cause deleterious effects to irradiated cells. The modelling of the interactions of such ions with matter and the related effects are very important to physics, radiobiology, medicine and space science and technology. A powerful method to study the interactions of ionizing radiation with biological systems was developed in the field of microdosimetry. Microdosimetry spectra characterize the energy deposition to objects of cellular size, i.e., a few micrometers.
In the present thesis the interaction of ions with tissue-like media was investigated using the Monte Carlo model for Heavy-Ion Therapy (MCHIT) developed at the Frankfurt Institute for Advanced Studies. MCHIT is a Geant4-based application intended to benchmark the physical models of Geant4 and investigate the physical properties of therapeutic ion beams. We have implemented new features in MCHIT in order to calculate microdosimetric quantities characterizing the radiation fields of accelerated nucleons and nuclei. The results of our Monte Carlo simulations were compared with recent experimental microdosimetry data.
In addition to microdosimetry calculations with MCHIT, we also investigated the biological properties of ion beams, e.g. their relative biological effectiveness (RBE), by means of the modified Microdosimetric-Kinetic model (MKM). The MKM uses microdosimetry spectra in describing cell response to radiation. MCHIT+MKM allowed us to study the physical and biological properties of ion beams. The main results of the thesis are as follows:
MCHIT is able to describe the spatial distribution of the physical dose in tissue-like media and microdosimetry spectra for ions with energies relevant to space research and ion-beam cancer therapy; MCHIT+MKM predicts a reduction of the biological effectiveness of ions propagating in extended medium due to nuclear fragmentation reactions; We predicted favourable biological dose-depth profiles for monoenergetic helium and lithium beams similar to the one for carbon beam. Well-adjusted biological dose distributions for H-1, He-4, C-12 and O-16 with a very flat spread-out Bragg peak (SOBP) plateau were calculated with MCHIT+MKM; MCHIT+MKM predicts less damage to healthy tissues in the entrance channel for SOBP He-4 and C-12 beams compared to H-1 and O-16 ones. No definitive advantages for oxygen ions with respect to carbon were found.
In this work we study basic properties of unstable particles and scalar hadronic resonances, respectively, within simple quantum mechanical and quantum field theoretical (effective) models. The term 'particle' is usually assigned to entities, described by physical theories, that are able to propagate over sufficiently large time scales (e.g. from a source to a detector) and hence could be identified in experiments - one especially should be able to measure some of their distinct properties like spin or charge. Nevertheless, it is well known that there exists a huge amount of unstable particles to which it seems difficult to allocate such definite values for their mass and decay width. In fact, for extremely short-lived members of that species, so called resonances, the theoretical description turns out to be highly complicated and requires some very interesting concepts of complex analysis.
In the first chapter, we start with the basic ideas of quantum field theory. In particular, we introduce the Feynman propagator for unstable scalar resonances and motivate the idea that this kind of correlation function should possess complex poles which parameterize the mass and decay width of the considered particle. We also brie
y discuss the problematic scalar sector in particle physics, emphasizing that hadronic loop contributions, given by strongly coupled hadronic intermediate states, dominate its dynamics. After that, the second chapter is dedicated to the method of analytic continuation of complex functions through branch cuts. As will be seen in the upcoming sections, this method is crucial in order to describe physics of scalar resonances because the relevant functions to be investigated (namely, the Feynman propagator of interacting quantm field theories) will also have branch cuts in the complex energy plane due to the already mentioned loop contributions. As is consensus among the physical community, the understanding of the physical behaviour of resonances requires a deeper insight of what is going on beyond the branch cut. This will lead us to the idea of a Riemann surface, a one-dimensional complex manifold on which the Feynman propagator is defined.
We then apply these concepts to a simple non-relativistic Lee model in the third chapter and demonstrate the physical implications, i.e., the motion of the propagator poles and the behaviour of the spectral function. Besides that, we investigate the time evolution of a particle described by such a model. All this will serve as a detailed preparation in order to encounter the rich phenomena occuring on the Riemann surface in quantum field theory. In the last chapter, we finally concentrate on a simple quantm field theoretical model which describes the decay of a scalar state into two (pseudo)scalar ones. It is investigated how the motion of the propagator poles is in
uenced by loop contributions of the two (pseudo)scalar particles. We perform a numerical study for a hadronic system involving a scalar seed state (alias the σ-meson) that couples to pions. The unexpected emergence of a putative stable state below the two-pion threshold is investigated and it is claeifieed under which conditions such a stable state appears.
This work deals with the determination of the scale parameter ΛM̄S̄ from lattice QCD and perturbation theory results of the static quark-antiquark potential for nf = 2. The investigation is done in momentum space. Lattice methods as well as perturbation theory calculations are introduced. Another part of this work concerns the calculation of the quark-antiquark potential from gauge link configurations for nf = 2 + 1 + 1.
Low-energy effective models for two-flavor quantum chromodynamics and the universality hypothesis
(2014)
Die Untersuchung der Natur auf extremen Längenskalen hat seit jeher zu bahnbrechenden Einsichten und Innovationen geführt. Insbesondere zu unserem heutigen Verständnis, dass Nukleonen (Protonen und Neutronen) aus Quarks zusammengesetzt sind, die infolge der starken Wechselwirkung, vermittelt durch Gluonenaustausch, gebunden sind. Mit dem Aufkommen des Quarkmodells wurde bald die Quantenchromodynamik (QCD) erfolgreich in der Beschreibung vieler messbarer Eigenschaften der starken Wechselwirkung. Um es mit Goethe zu sagen: mit den modernen Hochenergie-Beschleuniger-Experimenten wird versucht unser Verständnis davon zu verbessern, was die Welt im Innersten zusammenhält. Am Large Hadron Collider (LHC) werden beispielsweise Protonen derart beschleunigt und miteinander zur Kollision gebracht, dass bislang unerreichte Energiedichten auftreten, infolge derer Temperatur und baryochemisches Potential Werte annehmen, die mit denen des frühen Universums vergleichbar sind. Es gibt sowohl theoretische als auch experimentelle Hinweise darauf, dass hadronische Materie mit zunehmender Temperatur und/oder zunehmendem baryochemischen Potentials einen Phasenübergang durchläuft, hin zu einem exotischen Zustand, der als Quark-Gluon-Plasma bekannt ist. Dieser Übergang wird begleitet von einem sogenannten chiralen Übergang. Es ist eine wichtige Frage, ob es sich bei diesem chiralen Übergang um einen echten Phasenübergang (von erster bzw. zweiter Ordnung) handelt, oder ob ein sogenannter crossover vorliegt. Einige Resultate deuten auf einen crossover für verschwindendes baryochemisches Potential und einen Phasenübergang erster Ordnung für verschwindende Temperatur hin, lassen jedoch noch keinen endgültigen Schluss zu, ob dies tatsächlich der Realität entspricht. Wenn ja, so liegt die Annahme nahe, dass ein kritischer Endpunkt existiert, an dem der chirale Übergang von zweiter Ordnung ist. In der Tat existiert ein kritischer Endpunkt in einigen theoretischen Zugängen zur Beschreibung des chiralen Phasenübergangs, deren Aussagekraft seit jeher lebhaft diskutiert wird. Ein zentrales Ziel des zukünftigen CBM-Experiments an der GSI in Darmstadt ist es, die Existenz im Experiment zu überprüfen.
In der Nähe des QCD-(Phasen)übergangs ist es die Abwesenheit jeglicher perturbativer Entwicklungsparameter, die exakte analytische Berechnungen verbietet. Das gleiche gilt für realistische effektive Modelle für QCD. Nichtperturbative Methoden sind daher unverzichtbar für die Untersuchung des QCD-Phasendiagramms. Zu den populärsten dieser Zugänge gehören Gitter-QCD, Resummierungsverfahren, der Dyson-Schwinger-Formalismus, sowie die Funktionale Renormierungsgruppe (FRG). All diese Methoden ergänzen sich gegenseitig und werden zum Teil auch miteinander kombiniert. Eine der Stärken der FRG-Methode ist, dass sie nicht nur erfolgreich auf effektive Modelle angewendet werden kann, sondern auch auf QCD selbst. Für letztere Ab-Initio-Rechnungen sind die aus effektiven Modellen für QCD gewonnenen Resultate von grossem Wert.
Der Schwerpunkt der vorliegenden Arbeit liegt auf der Fragestellung von welcher Ordnung der chirale Phasenübergang im Fall von genau zwei leichten Quarksorten ist. Problemstellungen wie die Suche nach einer Antwort auf die Frage nach den Bedingungen für die Existenz eines Phasenübergangs zweiter Ordnung, die Bestimmung der Universalitätsklasse in diesem Fall etc. erfordern Wissen aus verschiedenen Gebieten.
Kapitel 1 besteht aus einer allgemeinen Einleitung.
In Kapitel 2 stellen wir zunächst einige allgemeine Aspekte von Phasenübergängen dar, die von besonderer Relevanz für das Verständnis des Renormierungsgruppen-Zugangs zu ebendiesen sind. Unser Fokus liegt hierbei auf einer kritischen Untersuchung der Universalitätshypothese. Insbesondere die Rechtfertigung des linearen Sigma-Modells als effektive Theorie für den chiralen Ordnungsparameter beruht auf der Gültigkeit selbiger.
Kapitel 3 beschäftigt sich mit dem chiralen Phasenübergang von einem allgemeinen Standpunkt aus. Wir ergünzen wohlbekannte Fakten durch eine detaillierte Diskussion der sogenannten O(4)-Hypothese. Die Überprüfung der Gültigkeit selbiger wird schließlich in Kapitel 6 und 7 in Angriff genommen.
In Kapitel 4 stellen wir die von uns benutzte FRG-Methode vor. Außerdem diskutieren wir den Zusammenhang zwischen effektiven Theorien für QCD und der QCD selbst.
Kapitel 5 behandelt ein mathematisches Thema, das für alle unserer Untersuchungen unabdingbar ist, nämlich die systematische Konstruktion polynomialer Invarianten zu einer gegebenen Symmetrie. Wir präsentieren einen einfachen, jedoch neuartigen, Algorithmus für die praktische Konstruktion von Invarianten einer gegebenen polynomialen Ordnung.
Kapitel 6 widmet sich Renormierungsgruppen-Studien einer Reihe dimensional reduzierter Theorien. Von zentralem Interesse ist hierbei das lineare Sigma-Modell, insbesondere in Anwesenheit der axialen Anomalie. Es stellt sich heraus, dass die Fixpunkt-Struktur des letzteren vergleichsweise kompliziert ist und ein tieferes Verständnis der zugrundeliegenden Methode sowie ihrer Annahmen erfordert. Dies führt uns zu einer sorgfältigen Analyse der Fixpunkt-Struktur von Modellen verschiedenster Symmetrien. Im Zusammenhang mit der Untersuchung des Einflusses von Vektor- und Axial-Vektor-Mesonen stoßen wir hierbei auf eine neue Universalitä}tsklasse.
Während wenig Spielraum für die Wahl der Symmetriegruppe der effektiven Theorie für den chiralen Ordnungsparameter besteht, ist die Identifizierung der Ordnungsparameter-Komponenten mit den relevanten mesonischen Freiheitsgraden hochgradig nichttrivial. Diese Wahl entspricht der Wahl einer Darstellung der Gruppe und kann zur Zeit nicht eindeutig aus der QCD hergeleitet werden. Es ist daher unerlässlich, verschiedene Möglichkeiten auszutesten. Eine wohlbekannte Wahl besteht darin, das Pion und seinen chiralen Partner, das Sigma-Meson, der O(4)-Darstellung für SU(2)_A x SU(2)_V zuzuordnen, welche einen Phasenübergang zweiter Ordnung erlaubt. Dieses Szenario ist jedoch nur dann sinnvoll, wenn nahe der kritischen Temperatur alle anderen Mesonen entsprechend schwer sind. Im Fall von genau zwei leichten Quarkmassen erfordert dies eine hinreichend große Anomaliestärke. Berücksichtigt man zusätzlich zum Pion und Sigma-Meson auch das Eta-Meson und das a_0-Meson, liefern unsere derzeitigen expliziten Rechnungen keinen Nachweis für die Existenz eines Phasenübergang zweiter Ordnung. Stattdessen spricht die Abwesenheit eines physikalischen (hinsichtlich der Massen) infrarot-stabilen Fixpunktes für einen fluktuationsinduzierten Phasenübergang erster Ordnung. Dieses Ergebnis ist auch zu erwarten (jedoch nicht impliziert), allein durch die Existenz zweier quadratischer Invarianten. Es besteht jedoch immer noch eine hypothetische Chance auf einen Phasenübergang zweiter Ordnung in der SU(2)_A x U(2)_V -Universalitätsklasse. Dies wäre der Fall, wenn der entsprechende von uns gefundene unphysikalische infrarot-stabile Fixpunkt physikalisch werden sollte in höherer Trunkierungsordnung. Interessanterweise finden wir bei endlicher Temperatur für gewisse Parameter einen Phasenübergang zweiter Ordnung. Es ist unklar, ob diese Wahl der Parameter in den Gültigkeitsbereich der dimensional reduzierten Theorie fällt.
Erst vor kurzem (Ende September 2013) wurde die Existenz eines infrarot-stabilen U(2)_A x U(2)_V-symmetrischen Fixpunkts durch Pelissetto und Vicari verifiziert (die zugehörige anomale Dimension ist mit 0.12 angegeben). Dieses Resultat war sehr
überraschend, da für zwei leichte Quarksorten und abwesende Anomalie ein Phasenübergang erster Ordnung relativ gesichert erschien, insbesondere durch die Epsilon-Entwicklung. Offensichtlich versagt letztere jedoch im Limes D=3, also für drei räumliche Dimensionen, da lediglich Fixpunkte gefunden werden können, die auch nahe D=4 existieren. Inspiriert durch diesen wichtigen Fund führen wir eine FRG-Fixpunktstudie in lokaler Potential-Näherung und hoher Trunkierungsordnung (bis zu zehnter Ordnung in den Feldern) durch. Die Stabilitätsanalyse besitzt jedoch leider keine Aussagekraft, da die Stabilitätsmatrix für den Gaußschen Fixpunkt marginale Eigenwerte besitzt. Wir sind überzeugt davon, dass dies nicht mehr der Fall ist, wenn man über die lokale Potential-Näherung hinausgeht und eine nichtverschwindende anomale Dimension zulässt. Die bisherigen Resultate verdeutlichen die Limitierungen der lokalen Potential-Näherung und der Epsilon-Entwicklung, auf denen unsere Untersuchungen zur Universalitätshypothese in weiten Teilen beruhen. Systematische Untersuchungen der Fixpunktstruktur von Modellen mit acht Ordnungsparameter-Komponenten wurden in der Literatur im Rahmen der Epsilon-Entwicklung durchgeführt und im Rahmen dieser Dissertation innerhalb der lokalen Potential-Näherung. Die meisten der Vorhersagen der Epsilon-Entwicklung konnten bestätigt werden, einige hingegen werden in Frage gestellt durch das Auftauchen marginaler Stabilitätsmatrix-Eigenwerte.
Einige wichtige Fragestellungen können nicht im Rahmen einer dimensional reduzierten Theorie behandelt werden, da die explizite Temperaturabhängigkeit in diesem Fall eliminiert wurde.
Insbesondere ist es in diesem Fall nicht möglich, die Stärke eines Phasenübergangs erster Ordnung vorherzusagen, da diese von Observablen (Meson-Massen und die Pion-Zerfallskonstante im Vakuum) abhängen, an die man bei verschwindender Temperatur fitten muss. Dieser Umstand führt uns zu solchen FRG-Studien, in denen die Temperatur als expliziter Parameter verbleibt.
Ein beträchtlicher Teil der für die vorliegende Dissertation zur Verfügung stehenden Arbeitszeit wurde darauf verwendet, eigene Implementierungen geeigneter Algorithmen zur numerischen Lösung der auftretenden partiellen Differentialgleichungen zu finden. Exemplarische Routinen (welche ausschließlich wohlbekannte Methoden nutzen) sind in einem Anhang zur Verfügung gestellt. Das Hauptziel der vorliegenden Arbeit, die Anwendung auf effektive Modelle für QCD, wird in Kapitel 7 präsentiert. Unsere (vorläufigen) FRG-Studien des linearen Sigma-Modells mit axialer Anomalie bei nichtverschwindender Temperatur erlauben verschiedene Szenarien. Sowohl einen extrem schwach ausgeprägten, als auch einen sehr deutlichen Phasenübergang erster Ordnung, ganz abhängig von der Wahl der Ultraviolett-Abschneideskala und oben genannter Parameter. Sogar ein Phasenübergang zweiter Ordnung scheint möglich für gewisse Parameterwerte. Um verlässliche Schlussfolgerungen zu ziehen, sind weitere Untersuchungen nötig und bereits im Gange. In Kapitel 7 verifizieren wir außerdem bereits bekannte numerische Resultate für das Quark-Meson-Modell.
This thesis is structured into 7 chapters:
• Chapter 2 gives an overview of the ultrashort high intensity laser interaction with matter. The laser interaction with an induced plasma is described, starting from the kinematics of single electron motion, followed by collective electron effects and the ponderamotive motion in the laser focus and the plasma transparency for the laser beam. The three different mechanisms prepared to accelerate and propagate electrons through matter are discussed. The following indirect acceleration of protons is explained by the Target Normal Sheath Acceleration (TNSA) mechanism. Finally some possible applications of laser accelerated protons are explained briefly.
• Chapter 3 deals with the modeling of geometry and field mapping of magnetic lens. Initial proton and electron distributions, fitted to PHELIX measured data are generated, a brief description of employed codes and used techniques in simulation is given, and the aberrations at the solenoid focal spot is studied.
• Chapter 4 presents a simulation study for suggested corrections to optimize the proton beam as a later beam source. Two tools have been employed in these suggested corrections, an aperture placed at the solenoid focal spot as energy selection tool, and a scattering foil placed in the proton beam to smooth the radial energy beam profile correlation at the focal spot due to chromatic aberrations. Another suggested correction has been investigated, to optimize the beam radius at the focal spot by lens geometry controlling.
• Chapter 5 presents a simulation study for the de-neutralization problem in TNSA caused by the fringing fields of pulsed magnetic solenoid and quadrupole. In this simulation, we followed an electrostatic model, wherethe evolution of both, self and mutual fields through the pulsed magnetic solenoid could be found, which is not the case in the quadrupole and only the growth of self fields could be found. The field mapping of magnetic elements is generated by the Matlab program, while the TraceWin code is employed to study the tracking through magnetic elements.
• Chapter 6 describes the PHELIX laser parameters at GSI with chirp pulse amplification technique (CPA), and Gafchromic Radiochromic film RCF) as a spatial energy resolver film detector. The results of experiments with laser proton acceleration, which were performed in two experimental areas at GSI (Z6 area and PHELIX Laser Hall (PLH)), are presented in section 6.3.
• Chapter 7 includes the main results of this work, conclusions and gives a perspective for future experimental activities.
In this thesis hard probes are studied in the partonic transport model BAMPS (Boltzmann Approach to MultiParton Scatterings). Employing Monte Carlo techniques, this model describes the 3+1 dimensional evolution of the quark gluon plasma phase in ultra-relativistic heavy-ion collisions by propagating all particles in space and time and carrying out their collisions according to the Boltzmann equation. Since hard probes are produced in hard processes with a large momentum transfer, the value of the running coupling is small and their interactions should be describable within perturbative QCD (pQCD). This work focuses on open heavy flavor, but also addresses the suppression of light parton jets, in particular to highlight differences due to the mass. For light partons, radiative processes are the dominant contribution to their energy loss. For heavy quarks, we show that also binary interactions with a running coupling and an improved Debye screening matched to hard-thermal-loop calculations play an important role. Furthermore, the impact of the mass in radiative interactions, prominently named the dead cone effect, and the interplay with the Landau-Pomeranchuk-Migdal (LPM) effect are studied in great detail. Since the transport model BAMPS has access to all medium properties and the space time information of heavy quarks, it is the ideal tool to study the dissociation and regeneration of J/psi mesons, which is also investigated in this thesis.
In this thesis, different physical and electrical aspects of silicon microstrip sensors and low-mass multi-line readout cables have been investigated. These silicon microstrip sensors and readout cables will be used in the Silicon Tracking System (STS) of the fixed-target heavy-ion Compressed Baryonic Matter (CBM) experiment which is under development at the upcoming Facility for Antiproton and ion Research (FAIR) in Darmstadt, Germany. The highly segmented low-mass tracking system is a central CBM detector system to resolve the high tracking densities of charged particles originating from beam-target interactions. Considering the low material budget requirement the double-sided silicon microstrip detectors have been used in several planar tracking stations. The readout electronics is planned to be installed at the periphery of the tracking stations along with the cooling system. Low-mass multi-line readout cables shall bridge the distance between the microstrip sensors and the readout electronics. The CBM running operational scenario suggests that some parts of the tracking stations are expected to be exposed to a total integrated particle fluence of the order of 1e14 neq/cm2. After 1e14 neq/cm2 the damaged modules in the tracking stations will be replaced. Thus radiation hard sensor is an important requirement for the sensors. Moreover, to cope with the high reaction rates, free-streaming (triggerless) readout electronics with online event reconstruction must be used which require high signal-to-noise (SNR) ratio (i.e., high signal efficiency, low noise contributions). Therefore, reduction in noise is a major goal of the sensor and cable development.
For better insight into the different aspects of the silicon microstrip sensors and multi-line readout cables, the simulation study has been performed using SYNOPSYS TCAD tools. 3D models of the silicon microstrip sensors and the readout cables were implemented which is motivated by the stereoscopic construction of the silicon microstrip sensors. For the evaluation of the performance of the silicon microstrip sensors in the harsh radiation environment during experimental operation, a radiation damage model has been included. It reproduces the behavior of the irradiated CBM prototype sensors. In addition to the static characteristics, the interstrip parameters relevant to understand strip isolation and cross-talk issues have been extracted. The transient simulations have been performed to estimate the charge collection performance of the irradiated sensors. The signal transmission in the readout cables has been evaluated with the finite element simulation tool RAPHAEL. Based on the performance of the front-end electronics used for early prototyping in the CBM experiment, capacitive and resistive noise contributions from the silicon microstrip sensors and multi-line readout cables have been extracted.
To validate the aforementioned simulations, numerous tests have been performed both on the multi-line readout cables and silicon microstrip sensors. Characterizations of multi-line readout cables and silicon microstrip sensors in laboratory conditions have been found to agree reasonably well with the simulations. Considering the expected radiation environment the behavior of silicon microstrip sensors have been studied especially in terms of noise and charge collection efficiency. Source-scan of the silicon microstrip sensors using 241Am is presented. In order to test a first system of detector stations including the data acquisition system, slow control and online monitoring software and for track reconstruction, in-beam tests have been performed at the COSY synchrotron of the Research Center Juelich, Germany. Further, different design parameters have been suggested to improve the sensor and readout cable design on the basis of the simulations and the measurements. Many of these parameters have been implemented in the new prototypes under production. These new prototypes will be tested in-beam by the end of 2013.