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We compute potentials of two static antiquarks in the presence of two quarks qq of finite mass using lattice QCD. In a second step we solve the Schrödinger equation, to determine, whether the resulting potentials are sufficiently attractive to host a bound state, which would indicate the existence of a stable qqb¯b¯ tetraquark. We find a bound state for qq=(ud−du)/2–√ with corresponding quantum numbers I(JP)=0(1+) and evidence against the existence of bound states with isospin I=1 or qq∈{cc,ss}.
We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In particular, we discuss the importance of such scattering interpolating operators for a precise computation of the low-lying energy levels. We focus on the b¯b¯ud four-quark system with quantum numbers I(JP)=0(1+), which has a ground state below the lowest meson-meson threshold. We carry out a scattering analysis using Lüscher's method to extrapolate the binding energy of the corresponding QCD-stable tetraquark to infinite spatial volume. Our calculation uses clover u, d valence quarks and NRQCD b valence quarks on gauge-link ensembles with HISQ sea quarks that were generated by the MILC collaboration.
We present our recent results on antiheavy-antiheavy-light-light tetraquark systems using lattice QCD. Our study of the b¯b¯us four-quark system with quantum numbers JP=1+ and the b¯c¯ud four-quark systems with I(JP)=0(0+) and I(JP)=0(1+) utilizes scattering operators at the sink to improve the extraction of the low-lying energy levels. We found a bound state for b¯b¯us with Ebind,b¯b¯us=(−86±22±10)MeV, but no indication for a bound state in both b¯c¯ud channels. Moreover, we show preliminary results for b¯b¯ud with I(JP)=0(1+), where we used scattering operators both at the sink and the source. We found a bound state and determined its infinite-volume binding energy with a scattering analysis, resulting in Ebind,b¯b¯ud=(−103±8)MeV.
Study of I = 0 bottomonium bound states and resonances based on lattice QCD static potentials
(2022)
We investigate I=0 bottomonium bound states and resonances in S, P, D and F waves using lattice QCD static-static-light-light potentials. We consider five coupled channels, one confined quarkonium and four open B(∗)B¯(∗) and B(∗)sB¯(∗)s meson-meson channels and use the Born-Oppenheimer approximation and the emergent wave method to compute poles of the T matrix. We discuss results for masses and decay widths and compare them to existing experimental results. Moreover, we determine the quarkonium and meson-meson composition of these states to clarify, whether they are ordinary quarkonium or should rather be interpreted as tetraquarks.
In this work we study the 3+1-dimensional Nambu-Jona-Lasinio (NJL) model in the mean field-approximation. We carry out calculations using five different regularization schemes (two continuum and three lattice regularization schemes) with particular focus on inhomogeneous phases and condensates. The regularization schemes lead to drastically different inhomogeneous regions. We provide evidence that inhomogeneous condensates appear for all regularization schemes almost exclusively at values of the chemical potential and with wave numbers, which are of the order of or even larger than the corresponding regulators. This can be interpreted as indication that inhomogeneous phases in the 3+1-dimensional NJL model are rather artifacts of the regularization and not a consequence of the NJL Lagrangian and its symmetries.
In this work, inhomogeneous chiral phases are studied in a variety of Four-Fermion and Yukawa models in 2+1 dimensions at zero and non-zero temperature and chemical potentials. Employing the mean-field approximation, we do not find indications for an inhomogeneous phase in any of the studied models. We show that the homogeneous phases are stable against inhomogeneous perturbations. At zero temperature, full analytic results are presented.
In this contribution we report the status and plans of the open lattice initiative to generate and share new gauge ensembles using the stabilised Wilson fermion framework. The production strategy is presented in terms of a three stage plan alongside summaries of the data management as well as access policies. Current progress in completing the first stage of generating ensembles at four lattice spacings at the flavor symmetric point is given.
The OpenLat initiative presents its results of lattice QCD simulations using Stabilized Wilson Fermions (SWF) using 2+1 quark flavors. Focusing on the SU(3) flavor symmetric point mπ=mK=412 MeV, four different lattice spacings (a=0.064,0.077,0.094,0.12 fm) are used to perform the continuum limit to study cutoff effects. We present results on light hadron masses; for the determination we use a Bayesian analysis framework with constraints and model averaging to minimize the bias in the analysis.
We present SU(3) lattice Yang-Mills data for hybrid static potentials from five ensembles with different small lattice spacings and the corresponding parametrizations for quark-antiquark separations 0.08fm≤r≤1.12fm. We remove lattice discretization errors at tree level of perturbation theory and partly at order a2 as well as the a-dependent self energy. In particular the tree-level improvement of static potentials is discussed in detail and two methods are compared. The resulting parametrizations are expected to represent continuum limit results for hybrid static potentials within statistical errors.
Gravitational-wave cosmology with dark sirens: state of the art and perspectives for 3G detectors
(2022)
A joint fit of the mass and redshift distributions of the population of Binary Black Holes detected with Gravitational-Wave observations can be used to obtain constraints on the Hubble parameter and on deviations from General Relativity in the propagation of Gravitational Waves. We first present applications of this technique to the latest catalog of Gravitational-Wave events, focusing on the comparison of different parametrizations for the source-frame mass distribution of Black Hole Binaries. We find that models with more than one feature are favourite by the data, as suggested by population studies, even when varying the cosmology. Then, we discuss perspectives for the use of this technique with third generation Gravitational-Wave detectors, exploiting the recently developed Fisher information matrix Python code GWFAST.
Lattice constraints on the QCD chiral phase transition at finite temperature and baryon density
(2021)
The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations at zero and imaginary baryon chemical potential in a parameter space enlarged by a variable number of quark flavours and quark masses constitute a viable way to constrain the location of a possible non-analytic phase transition and its critical endpoint. In this article I review recent progress towards an understanding of the nature of the transition in the massless limit, and its critical temperature at zero density. Combined with increasingly detailed studies of the physical crossover region, current data bound a possible critical point to μB ≳ 3T.
Effective spectral functions of the ρ meson are reconstructed by considering the lifetimes inside different media using the hadronic transport SMASH (Simulating Many Accelerated Strongly-interacting Hadrons). Due to inelastic scatterings, resonance lifetimes are dynamically shortened (collisional broadening), even though the employed approach assumes vacuum resonance properties. Analyzing the ρ meson lifetimes allows to quantify an effective broadening of the decay width and spectral function, which is important in order to distinguish dynamical effects from additional genuine medium modifications to the spectral functions, indicating e.g. an onset of chiral symmetry restoration. The broadening of the spectral function in a thermalized system is shown to be consistent with other theoretical calculations. The effective ρ meson spectral function is also presented for the dynamical evolution of heavy-ion collisions, finding a clear correlation of the broadening to system size, which is explained by an observed dependence of the width on the local hadron density. Furthermore, the difference in the results between the thermal system and full collision dynamics is explored, which may point to non-equilibrium effects.
Computation of masses of quarkonium bound states using heavy quark potentials from lattice QCD
(2022)
We compute masses of bottomonium and charmonium bound states using a Schrödinger equation with a heavy quark-antiquark potential including 1/m and 1/m2 corrections previously derived in potential Non-Relativistic QCD and computed with lattice QCD. This is a preparatory step for a future project, where we plan to take into account similar corrections to study quarkonium resonances and tetraquarks above the lowest meson-meson thresholds.
In dieser Bachelorarbeit werden verschiedene Methoden zur Bestimmung der Betriebsfrequenz von CH-Kavitäten untersucht. Aufgrund der geometrisch komplexen Form der Beschleunigungsstruktur, können die Eigenfrequenzen nicht mithilfe von analytischen Methoden bestimmt werden. Üblicherweise werden die Eigenfrequenzen, ihre Ladungsund Stromdichten, sowie die elektromagnetischen Felder über numerische Methoden der Computational Electromagnetics (CEM) ermittelt. Die CEM ist eine junge Disziplin, deren Performanz und Anwendungsgebiete in den letzten 20 Jahren rapide gewachsen sind. Hauptverantwortlich hierfür ist zum einen das exponentielle Wachstum der Rechenleitung bei gleichbleibenden Kosten, zum anderen die Entwicklung und Verbesserung der Algorithmen. Bis zum Ende des letzten Jahrhunderts wurden elektronische Komponenten hauptsächlich dadurch entwickelt, indem Prototypen angefertigt und analysiert wurden. Diese zeitaufwendige und kostspielige Herangehensweise ist heutzutage nahezu vollständig durch CEM-Simulationen ersetzt worden. Die Hauptmethoden der CEM sind die Finite-Differenzen-Methode (FDM), die Momenten-Methode (MoM) und die Finite-Elemente-Methode (FEM). Für die Bestimmung der Eigenwerte und Eigenvektoren der Beschleunigungsstrukturen eignet sich aufgrund der Stabilität von diesen Dreien am besten die Methode der finiten Elemente. Da die FEM ein rechen- und speicherintensives Verfahren ist, wurde in dieser Arbeit nach einer schnelleren Methode gesucht, um die Betriebsfrequenz von CH-Kavitäten zu bestimmen. Hierfür wurden 84 CH-Kavitäten mithilfe von CST Studio Suite erstellt und simuliert. Es handelt sich hierbei um vier Grundtypen, drei wurden bei einer fixierten Sollfrequenz von 300 MHz konstruiert; die Sollfrequenz des vierten Grundtyps betrug 175 MHz. Die Teilchengeschwindigkeit wurde jeweils in 0,01er-Schrtitten von 0,05 c bis 0,25 c variiert. Aus den Untersuchungen der EM-Felder wurde anschließend ein semi-analytisches Modell entwickelt, das aufgrund der Geometrie der CH-Kavität die Betriebsfrequenz liefern soll.
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.
The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting field is expected to be spatially modulated, deviating significantly from the commonly considered uniform profile. To improve our understanding of the physics of quarks and gluons under such extreme conditions, we use lattice QCD simulations with 2+1 staggered fermion flavors with physical quark masses and an inhomogeneous magnetic background for a range of temperatures covering the QCD phase transition. We assume a 1/cosh2 function to model the field profile and vary its strength to analyze the impact on the computed observables and on the transition. We calculate local chiral condensates, local Polyakov loops and estimate the size of lattice artifacts. We find that both observables show non-trivial spatial features due to the interplay between the sea and the valence effects.
We discuss results for the Roberge Weiss (RW) phase transition at nonzero imaginary baryon and isospin chemical potentials, in the plane of temperature and quark masses. Our study focuses on the light tricritical endpoint which has already been used as a starting point for extrapolations aiming at the chiral limit at vanishing chemical potentials. In particular, we are interested in determining how imaginary isospin chemical potential shifts the tricritical mass with respect to earlier studies at zero imaginary isospin chemical potential. A positive shift might allow one to perform the chiral extrapolations from larger quark mass values, therefore making them less computationally expensive. We also present results for the dynamics of Polyakov loop clusters across the RW phase transition.
We compute the equation of state of isospin asymmetric QCD at zero and non-zero temperatures using direct simulations of lattice QCD with three dynamical flavors at physical quark masses. In addition to the pressure and the trace anomaly and their behavior towards the continuum limit, we will particularly discuss the extraction of the speed of sound. Furthermore, we discuss first steps towards the extension of the EoS to small non-zero baryon chemical potentials via Taylor expansion.
In QCD at large enough isospin chemical potential Bose-Einstein Condensation (BEC) takes place, separated from the normal phase by a phase transition. From previous studies the location of the BEC line at the physical point is known. In the chiral limit the condensation happens already at infinitesimally small isospin chemical potential for zero temperature according to chiral perturbation theory. The thermal chiral transition at zero density might then be affected, depending on the shape of the BEC boundary, by its proximity. As a first step towards the chiral limit, we perform simulations of 2+1 flavors QCD at half the physical quark masses. The position of the BEC transition is then extracted and compared with the results at physical masses.
The exploration of hot and dense nuclear matter: Introduction to relativistic heavy-ion physics
(2022)
This article summarizes our present knowledge about nuclear matter at the highest energy densities and its formation in relativistic heavy ion collisions. We review what is known about the structure and properties of the quark-gluon plasma and survey the observables that are used to glean information about it from experimental data.
We report the first measurement of low-energy proton-capture cross sections of 124Xe in a heavy-ion storage ring. 124Xe54+ ions of five different beam energies between 5.5 and 8 AMeV were stored to collide with a windowless hydrogen target. The 125Cs reaction products were directly detected. The interaction energies are located on the high energy tail of the Gamow window for hot, explosive scenarios such as supernovae and x-ray binaries. The results serve as an important test of predicted astrophysical reaction rates in this mass range. Good agreement in the prediction of the astrophysically important proton width at low energy is found, with only a 30% difference between measurement and theory. Larger deviations are found above the neutron emission threshold, where also neutron and γ widths significantly impact the cross sections. The newly established experimental method is a very powerful tool to investigate nuclear reactions on rare ion beams at low center-of-mass energies.
The neutron sensitivity of the C6D6 detector setup used at n_TOF facility for capture measurements has been studied by means of detailed GEANT4 simulations. A realistic software replica of the entire n_TOF experimental hall, including the neutron beam line, sample, detector supports and the walls of the experimental area has been implemented in the simulations. The simulations have been analyzed in the same manner as experimental data, in particular by applying the Pulse Height Weighting Technique. The simulations have been validated against a measurement of the neutron background performed with a natC sample, showing an excellent agreement above 1 keV. At lower energies, an additional component in the measured natC yield has been discovered, which prevents the use of natC data for neutron background estimates at neutron energies below a few hundred eV. The origin and time structure of the neutron background have been derived from the simulations. Examples of the neutron background for two different samples are demonstrating the important role of accurate simulations of the neutron background in capture cross-section measurements.
To assess the degree of equilibration of the matter created in heavy-ion reactions at low to intermediate beam energies, a hadronic transport approach (SMASH) is employed. By using a coarse-graining method, we compute the energy momentum tensor of the system at fixed time steps and evaluate the degree of isotropy of the diagonal terms and the relative magnitude of the off-diagonal terms. This study focuses mostly on Au+Au collisions in the energy range s√NN
= 2.4–7.7 GeV, but central collisions of lighter ions like C+C, Ar+KCl and Ag+Ag are considered as well. We find that the conditions concerning local equilibration for a hydrodynamic description are reasonably satisfied in a large portion of the system for a significant amount of time (several fm/c) when considering the average evolution of many events, yet they are rarely fulfilled on an event by event basis. This is relevant for the application of hybrid approaches at low beam energies as they are or will be reached by the HADES experiment at GSI, the future CBM experiment at FAIR as well as the beam energy scan program at RHIC.
The neutron capture cross section of the s-process branch nucleus 63Ni affects the abundances of other nuclei in its region, especially 63Cu and 64Zn. In order to determine the energy-dependent neutron capture cross section in the astrophysical energy region, an experiment at the Los Alamos National Laboratory has been performed using the calorimetric 4πBaF2 array DANCE. The (n,γ) cross section of 63Ni has been determined relative to the well-known 197Au standard with uncertainties below 15%. Various 63Ni resonances have been identified based on the Q value. Furthermore, the s-process sensitivity of the new values was analyzed with the new network calculation tool NETZ.
We refine our previous study of a udb¯b¯ tetraquark resonance with quantum numbers I(JP)=0(1−), which is based on antiheavy-antiheavy lattice QCD potentials, by including heavy quark spin effects via the mass difference of the B and the B∗ meson. This leads to a coupled channel Schrödinger equation, where the two channels correspond to BB and B∗B∗, respectively. We search for T matrix poles in the complex energy plane, but do not find any indication for the existence of a tetraquark resonance in this refined coupled channel approach. We also vary the antiheavy-antiheavy potentials as well as the b quark mass to further understand the dynamics of this four-quark system.
We studied the μ-μ45-T phase diagram of the 2+1-dimensional Gross-Neveu model, where μ denotes the ordinary chemical potential, μ45 the chiral chemical potential and T the temperature. We use the mean-field approximation and two different lattice regularizations with naive chiral fermions. An inhomogeneous phase at finite lattice spacing was found for one of the two regularizations. Our results suggest that there is no inhomogeneous phase in the continuum limit. We showed that a chiral chemical potential is equivalent to an isospin chemical potential. Thus, all results presented in this work can also be interpreted in the context of isospin imbalance.
The idea of slow-neutron capture nucleosynthesis formulated in 1957 triggered a tremendous experimental effort in different laboratories worldwide to measure the relevant nuclear physics input quantities, namely (n,γ) cross sections over the stellar temperature range (from few eV up to several hundred keV) for most of the isotopes involved from Fe up to Bi. A brief historical review focused on total energy detectors will be presented to illustrate how, advances in instrumentation have led, over the years, to the assessment and discovery of many new aspects of s-process nucleosynthesis and to the progressive refinement of theoretical models of stellar evolution. A summary will be presented on current efforts to develop new detection concepts, such as the Total-Energy Detector with γ-ray imaging capability (i-TED). The latter is based on the simultaneous combination of Compton imaging with neutron time-of-flight (TOF) techniques, in order to achieve a superior level of sensitivity and selectivity in the measurement of stellar neutron capture rates.
The aim of this work is to provide a precise and accurate measurement of the 238U(n,γ) reaction cross section in the energy region from 1 eV to 700 keV. This reaction is of fundamental importance for the design calculations of nuclear reactors, governing the behavior of the reactor core. In particular, fast reactors, which are experiencing a growing interest for their ability to burn radioactive waste, operate in the high energy region of the neutron spectrum. In this energy region most recent evaluations disagree due to inconsistencies in the existing measurements of up to 15%. In addition, the assessment of nuclear data uncertainty performed for innovative reactor systems shows that the uncertainty in the radiative capture cross section of 238U should be further reduced to 1–3% in the energy region from 20 eV to 25 keV. To this purpose, addressed by the Nuclear Energy Agency as a priority nuclear data need, complementary experiments, one at the GELINA and two at the n_TOF facility, were proposed and carried out within the 7th Framework Project ANDES of the European Commission. The results of one of these 238U(n,γ) measurements performed at the n_TOF CERN facility are presented in this work. The γ-ray cascade following the radiative neutron capture has been detected exploiting a setup of two C6D6 liquid scintillators. Resonance parameters obtained from this work are on average in excellent agreement with the ones reported in evaluated libraries. In the unresolved resonance region, this work yields a cross section in agreement with evaluated libraries up to 80 keV, while for higher energies our results are significantly higher.
We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the sign problem and can be used for numeric Monte-Carlo simulations. These simulations allow us to locate the line of second order phase transitions, that separates the region of first order phase transition from the crossover one. The behavior of local observables in different phases of the model is studied numerically and compared with predictions of the mean-field analysis. Our dual formulation allows us to study also Polyakov loop correlation functions. From these results, we extract the screening masses and compare them with large-N predictions.
The broad class of U(N) and SU(N) Polyakov loop models on the lattice are solved exactly in the combined large N, Nf limit, where N is a number of colors and Nf is a number of quark flavors, and in any dimension. In this ’t Hooft-Veneziano limit the ratio N/Nf is kept fixed. We calculate both the free energy and various correlation functions. The critical behavior of the models is described in details at finite temperatures and non-zero baryon chemical potential. Furthermore, we prove that the calculation of the N-point (baryon) correlation function reduces to the geometric median problem in the confinement phase. In the deconfinement phase we establish an existence of the complex masses and an oscillating decay of correlations in a certain region of parameters.
Recently, an approximate SU(4) chiral spin-flavour symmetry was observed in multiplet patterns of QCD meson correlation functions, in a temperature range above the chiral crossover. This symmetry is larger than the chiral symmetry of massless QCD, and can only arise effectively when colour-electric quark-gluon interactions dynamically dominate the quantum effective action. At temperatures about three times the crossover temperature, these patterns disappear again, indicating the screening of colour-electric interactions, and the expected chiral symmetry is recovered. In this contribution we collect independent evidence for such an intermediate temperature range, based on screening masses and the pion spectral function. Both kinds of observables behave non-perturbatively in this window, with resonance-like peaks for the pion and its first excitation disappearing gradually with temperature. Using symmetry arguments and the known behaviour of screening masses at small densities, we discuss how this chiral spin symmetric band continues into the QCD phase diagram.
We study the high temperature transition in pure SU(3) gauge theory and in full QCD with 3D-convolutional neural networks trained as parts of either unsupervised or semi-supervised learning problems. Pure gauge configurations are obtained with the MILC public code and full QCD are from simulations of Nf=2+1+1 Wilson fermions at maximal twist. We discuss the capability of different approaches to identify different phases using as input the configurations of Polyakov loops. To better expose fluctuations, a standardized version of Polyakov loops is also considered.
According to perturbation theory predictions, QCD matter in the zero-temperature, high-density limits of QCD at nonzero isospin chemical potential is expected to be in a superfluid Bardeen-Cooper-Schrieffer (BCS) phase of u and d¯ Cooper pairs. It is also expected, on symmetry grounds, that such phase connects via an analytical crossover to the phase with Bose-Einstein condensation (BEC) of charged pions at μI≥mπ/2. With lattice results, showing some indications that the deconfinement crossover also smoothly penetrates the BEC phase, the conjecture was made that the former connects continuously to the BEC-BCS crossover. We compute the spectrum of the Dirac operator, and use generalized Banks-Casher relations, to test this conjecture and identify signatures of the superfluid BCS phase.
n this joint contribution we announce the formation of the "OPEN LATtice initiative", this https URL, to study Stabilised Wilson Fermions (SWF). They are a new avenue for QCD calculations with Wilson-type fermions and we report results on our continued study of this framework: Tuning the clover improvement coefficient, and extending the reach of lattice spacings to a=0.12 fm. We fix the flavor symmetric points mπ=mK=412 MeV at a=0.055,0.064,0.077,0.094,0.12 fm and define the trajectories to the physical point by fixing the trace of the quark mass matrix. Currently our pion mass range extends down to mπ∼200 MeV. We outline our tuning goals and strategy as well as our future planned ensembles. First scaling studies are performed on fπ and mπ. Additionally results of a preliminary continuum extrapolation of mN at the flavor symmetric point are presented. Going further a first determination of the light and strange hadron spectrum chiral dependence is shown, which serves to check the quality of the action for precision measurements. We also investigate other quantities such as flowed gauge observables to study how the continuum limit is approached. Taken together we observe the SWF enable us to perform stable lattice simulations across a large range of parameters in mass, volume and lattice spacing. Pooling resources our new initiative has made our reported progress possible and through it we will share generated gauge ensembles under an open science philosophy.
Effective three-dimensional Polyakov loop theories derived from QCD by strong coupling and hopping expansions are valid for heavy quarks and can also be applied to finite chemical potential μ, due to their considerably milder sign problem. We apply the Monte-Carlo method to the Nf=1,2 effective theories up to O(κ4) in the hopping parameter at μ=0 to determine the critical quark mass, at which the first-order deconfinement phase transition terminates. The critical end point obtained from the effective theory to order O(κ2) agrees well with 4-dimensional QCD simulations with a hopping expanded determinant by the WHOT-QCD collaboration. We also compare with full QCD simulations and thus obtain a measure for the validity of both the strong coupling and the hopping expansion in this regime.
The production of prompt Λ+c baryons at midrapidity (|y|<0.5) was measured in central (0-10%) and mid-central (30-50%) Pb-Pb collisions at the center-of-mass energy per nucleon-nucleon pair sNN−−−√=5.02 TeV with the ALICE detector. The Λ+c production yield, the Λ+c/D0 production ratio, and the Λ+c nuclear modification factor RAA are reported. The results are more precise and more differential in transverse momentum (pT) and centrality with respect to previous measurements. The Λ+c/D0 ratio, which is enhanced with respect to the pp measurement for 4<pT<8 GeV/c, is described by theoretical calculations that model the charm-quark transport in the quark-gluon plasma and include hadronization via both coalescence and fragmentation mechanisms.
We experimentally investigated the quasifree mechanism (QFM) in one-photon double ionization of He and H2 at 800 eV photon energy and circular polarization with a COLTRIMS reaction microscope. Our work provides new insight into this elusive photoionization mechanism that was predicted by Miron Amusia more than four decades ago. We found the distinct four-fold symmetry in the angular emission pattern of QFM electrons from H2 double ionization that has previously only been observed for He. Furthermore, we provide experimental evidence that the photon momentum is not imparted onto the center of mass in quasifree photoionization, which is in contrast to the situation in single ionization and in double ionization mediated by the shake-off and knock-out mechanisms. This finding is substantiated by numerical results obtained by solving the system’s full-dimensional time-dependent Schrödinger equation beyond the dipole approximation.
The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature Tc leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry explicitly and weakens the first-order phase transition for decreasing quark masses until it turns into a smooth crossover at a Z(2)-critical point. We investigate the Z(2)-critical quark mass value towards the continuum limit for Nf=2 flavors using lattice QCD in the staggered formulation. As part of a continued study, we present results from Monte-Carlo simulations on Nτ=8,10 lattices. Several aspect ratios and quark mass values were simulated in order to obtain the critical mass from a fit of the Polyakov loop to a kurtosis finite size scaling formula. Moreover, the possibility to develop a Ginzburg-Landau effective theory around the Z(2)-critical point is explored.
The so-called Columbia plot summarises the order of the QCD thermal transition as a function of the number of quark flavours and their masses. Recently, it was demonstrated that the first-order chiral transition region, as seen for Nf∈[3,6] on coarse lattices, exhibits tricritical scaling while extrapolating to zero on sufficiently fine lattices. Here we extend these studies to imaginary baryon chemical potential. A similar shrinking of the first-order region is observed with decreasing lattice spacing, which again appears compatible with a tricritical extrapolation to zero.
The order of the chiral phase transition of lattice QCD with unimproved staggered fermions is known to depend on the number of quark flavours, their masses and the lattice spacing. Previous studies in the literature for Nf∈{3,4} show first-order transitions, which weaken with decreasing lattice spacing. Here we investigate what happens when lattices are made coarser to establish contact to the strong coupling region. For Nf∈{4,8} we find a drastic weakening of the transition when going from Nτ=4 to Nτ=2, which is consistent with a second-order chiral transition reported in the literature for Nf=4 in the strong coupling limit. This implies a non-monotonic behaviour of the critical quark or pseudo-scalar meson mass, which separates first-order transitions from crossover behaviour, as a function of lattice spacing.
For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. In practice, the evaluation of these theories is complicated by the appearance of long-range and multipoint interaction terms. On the other hand, it is well known that for theories with such kind of interactions mean field approximations can be expected to yield reliable results. Here, we apply this framework to the critical endpoint of the deconfinement transition and results are compared to the literature. This treatment can also be used to investigate the phase diagram at non-zero baryon and isospin chemical potential.
In the strong coupling and heavy quark mass regime, lattice QCD dimensionally reduces to effective theories of Polyakov loops depending on the parameters of the original Wilson action β,κ and Nτ. We apply coarse graining techniques to such theories in 1d and 2d, corresponding to lattice QCD at finite temperature and non-zero chemical potential in 1+1d and 2+1d, respectively. In 1d the method is applied to the effective theories up to O(κ4). Using the transfer matrix, the recursion relations are solved analytically. The thermodynamic limit is taken for some observables. Afterwards, continuum extrapolation is performed numerically and results are discussed. In 2d the coarse graining method is applied in the pure gauge and static quark limit. Running couplings are obtained and the fixed points of the transformations are discussed. Finally, the critical coupling of the deconfinement transition is determined in both limits. Agreement to about 12% with Monte Carlo results of 2+1d Yang-Mills theory from the literature is observed.
Approaching the continuum limit of the deconfinement critical point for Nf=2 staggered fermions
(2022)
Quenched QCD at zero baryonic chemical potential undergoes a first-order deconfinement phase transition at a critical temperature Tc, which is related to the spontaneous breaking of the global center symmetry. The center symmetry is broken explicitly by including dynamical quarks, which weaken the first-order phase transition for decreasing quark masses. At a certain critical quark mass, which corresponds to the Z(2)-critical point, the first-order phase transition turns into a smooth crossover. We investigate the Z(2)-critical quark mass for Nf=2 staggered fermions on Nτ=8,10 lattices, where larger Nτ correspond to finer lattices. Monte-Carlo simulations are performed for several quark mass values and aspect ratios in order to extrapolate to the thermodynamic limit. We present final results for Nτ=8 and preliminary results for Nτ=10 for the critical mass, which are obtained from fitting to a kurtosis finite size scaling formula of the absolute value of the Polyakov loop.
Neutron capture cross sections of unstable isotopes are important for neutron-induced nucleosynthesis as well as for technological applications. A combination of a radioactive beam facility, an ion storage ring and a high flux reactor would allow a direct measurement of neutron induced reactions over a wide energy range on isotopes with half lives down to minutes. The idea is to measure neutron-induced reactions on radioactive ions in inverse kinematics. This means, the radioactive ions will pass through a neutron target. In order to efficiently use the rare nuclides as well as to enhance the luminosity, the exotic nuclides can be stored in an ion storage ring. The neutron target can be the core of a research reactor, where one of the central fuel elements is replaced by the evacuated beam pipe of the storage ring. Using particle detectors and Schottky spectroscopy, most of the important neutron-induced reactions, such as (n,γ), (n,p), (n,α), (n,2n), or (n,f), could be investigated.
Phase transitions in a non-perturbative regime can be studied by ab initio Lattice Field Theory methods. The status and future research directions for LFT investigations of Quantum Chromo-Dynamics under extreme conditions are reviewed, including properties of hadrons and of the hypothesized QCD axion as inferred from QCD topology in different phases. We discuss phase transitions in strong interactions in an extended parameter space, and the possibility of model building for Dark Matter and Electro-Weak Symmetry Breaking. Methodological challenges are addressed as well, including new developments in Artificial Intelligence geared towards the identification of different phases and transitions.
Quenched QCD at zero baryonic chemical potential undergoes a first-order deconfinement phase transition at a critical temperature Tc, which is related to the spontaneous breaking of the global center symmetry. Including heavy, dynamical quarks breaks the center symmetry explicitly and weakens the first-order phase transition. For decreasing quark masses the first-order phase transition turns into a smooth crossover at a Z2-critical point. The critical quark mass corresponding to this point has been examined with Nf=2 Wilson fermions for several Nτ in a recent study within our group. For comparison, we also locate the critical point with Nf=2 staggered fermions on Nτ=8 lattices. For this purpose we perform Monte Carlo simulations for several quark mass values and various aspect ratios in order to extrapolate to the thermodynamic limit. The critical mass is obtained by fitting to a finite size scaling formula of the kurtosis of the Polyakov loop. Our results indicate large discretization effects, requiring simulations on lattices with Nτ>8.
This thesis has two main parts.
The first part is based on our publication [1], where we use perturbation theory to calculate decay rates of magnons in the Kitaev-Heisenberg-Γ (KHΓ) model. This model describes the magnetic properties of the material α-RuCl 3 , which is a candidate for a Kitaev spin liquid. Our motivation is to validate a previous calculation from Ref. [2]. In this thesis, we map out the classical phase diagram of the KHΓ model. We use the Holstein-Primakoff
transformation and the 1/S expansion to describe the low temperature dynamics of the Kitaev-Heisenberg-Γ model in the experimentally relevant zigzag phase by spin waves. By parametrizing the spin waves in terms of hermitian fields, we find a special parameter region within the KHΓ model where the analytical expressions simplify. This enables us to construct the Bogoliubov transformation analytically. For a representative point in the special parameter region, we use these results to numerically calculate the magnon damping, which is to leading order caused by the decay of single magnons into two. We also calculate the dynamical structure factor of the magnons.
The second part of this thesis is based on our publication [3], where we use the functional renormalization group to analyze a discontinuous quantum phase transition towards a non-Fermi liquid phase in the Sachdev-Ye-Kitaev (SYK) model. In this thesis, we perform a disorder average over the random interactions in the SYK model. We argue that in the thermodynamic limit, the average renormalization group (RG) flow of the SYK model is identical to the RG flow of an effective disorder averaged model. Using the functional RG, we find a fixed point describing the discontinuous phase transition to the non-Fermi liquid phase at zero temperature. Surprisingly, we find a finite anomalous dimension of the fermions, which indicates critical fluctuations and is unusual for a discontinuous transition. We also determine the RG flow at zero temperature, and relate it to the phase diagram known from the literature.
The 14N(n,p)14C reaction is of interest in neutron capture therapy, where nitrogen-related dose is the main component due to low-energy neutrons, and in astrophysics, where 14N acts as a neutron poison in the s-process. Several discrepancies remain between the existing data obtained in partial energy ranges: thermal energy, keV region and resonance region. Purpose: Measuring the 14N(n,p)14C cross section from thermal to the resonance region in a single measurement for the first time, including characterization of the first resonances, and providing calculations of Maxwellian averaged cross sections (MACS). Method: Time-of-flight technique. Experimental Area 2 (EAR-2) of the neutron time-of-flight (n_TOF) facility at CERN. 10B(n,α)7Li and 235U(n,f) reactions as references. Two detection systems running simultaneously, one on-beam and another off-beam. Description of the resonances with the R-matrix code sammy. Results: The cross section has been measured from sub-thermal energy to 800 keV resolving the two first resonances (at 492.7 and 644 keV). A thermal cross-section (1.809±0.045 b) lower than the two most recent measurements by slightly more than one standard deviation, but in line with the ENDF/B-VIII.0 and JEFF-3.3 evaluations has been obtained. A 1/v energy dependence of the cross section has been confirmed up to tens of keV neutron energy. The low energy tail of the first resonance at 492.7 keV is lower than suggested by evaluated values, while the overall resonance strength agrees with evaluations. Conclusions: Our measurement has allowed to determine the 14N(n,p) cross-section over a wide energy range for the first time. We have obtained cross-sections with high accuracy (2.5 %) from sub-thermal energy to 800 keV and used these data to calculate the MACS for kT = 5 to kT = 100 keV.
The direct study of transcription or DNA–protein-binding events, requires imaging of individual genes at molecular resolution. Electron microscopy (EM) can show local detail of the genome. However, direct visualization and analysis of specific individual genes is currently not feasible as they cannot be unambiguously localized in the crowded, landmark-free environment of the nucleus. Here, we present a method for the genomic insertion of gene clusters that can be localized and imaged together with their associated protein complexes in the EM. The method uses CRISPR/Cas9 technology to incorporate several genes of interest near the 35S rRNA gene, which is a frequently occurring, easy-to-identify genomic locus within the nucleolus that can be used as a landmark in micrographs. As a proof of principle, we demonstrate the incorporation of the locus-native gene RDN5 and the locus-foreign gene HSX1. This led to a greater than 7-fold enrichment of RNA polymerase III (Pol III) complexes associated with the genes within the field of view, allowing for a significant increase in the analysis yield. This method thereby allows for the insertion and direct visualization of gene clusters for a range of analyses, such as changes in gene activity upon alteration of cellular or external factors.
Ion stopping in warm dense matter is a process of fundamental importance for the understanding of the properties of dense plasmas, the realization and the interpretation of experiments involving ion-beam-heated warm dense matter samples, and for inertial confinement fusion research. The theoretical description of the ion stopping power in warm dense matter is difficult notably due to electron coupling and degeneracy, and measurements are still largely missing. In particular, the low-velocity stopping range, that features the largest modelling uncertainties, remains virtually unexplored. Here, we report proton energy-loss measurements in warm dense plasma at unprecedented low projectile velocities. Our energy-loss data, combined with a precise target characterization based on plasma-emission measurements using two independent spectroscopy diagnostics, demonstrate a significant deviation of the stopping power from classical models in this regime. In particular, we show that our results are in closest agreement with recent first-principles simulations based on time-dependent density functional theory.
The stellar nucleosynthesis of elements heavier than iron can primarily be attributed to neutron capture reactions in the s and r process. While the s process is considered to be well understood with regards to the stellar sites, phases and conditions where it occurs, nucleosynthesis networks still need accurate neutron capture cross sections
with low uncertainties as input parameters. Their quantitative outputs for the isotopic abundances produced in the s process, coupled with the observable solar abundances, can be used to indirectly infer the expected r process abundances. The two stable gallium isotopes, 69Ga and 71Ga, have been shown in sensitivity studies to have considerable impact on the weak s process in massive stars. The available experimental data, mostly derived from neutron activation measurements for quasi-stellar neutron spectra at kBT = 25 keV, show disagreements up to a factor of three.
Determining the differential neutron capture cross section can provide input data for the whole range of astrophysically relevant energies. To that end, a neutron time of flight experimental campaign at the n_TOF facility at CERN was performed for three months, using isotopically enriched samples of both isotopes. The data taken at the EAR1 experimental area covered a wide neutron energy range from thermal to several hundred keV. The respective differential and spectrum averaged neutron capture cross sections for 69Ga and 71Ga were determined in this thesis. They show good agreement with the evaluated cross sections for 71Ga, but reproduce the deviations from the evaluated data that other, more recent activation measurements showed for 69Ga.
Correlations between the harmonic flow coefficients v1, v2, v3 and v4 of nucleons in semi-peripheral Au+Au collisions at a beam energy of 1.23 AGeV are investigated within the hadronic transport approach ultra-relativistic quantum molecular dynamics (UrQMD). In contrast to ultra-relativistic collision energies (where the flow coefficients are evaluated with respect to the respective event plane), we predict strong correlations between the flow harmonics with respect to the reaction plane. Based on an event-by-event selection of the midrapidity final state elliptic flow of nucleons we show that as a function of rapidity, (I) the sign of the triangular flow changes, (II) that the shape of v4 changes from convex to concave, and (III) that v3∝v1v2 and v4∝v22 for all different event classes, indicating strong correlations between all investigated harmonic flow coefficients.
The measurement of the mass differences for systems bound by the strong force has reached a very high precision with protons and anti-protons1,2. The extension of such measurement from (anti-)baryons to (anti-)nuclei allows one to probe any difference in the interactions between nucleons and anti-nucleons encoded in the (anti-)nuclei masses. This force is a remnant of the underlying strong interaction among quarks and gluons and can be described by effective theories3, but cannot yet be directly derived from quantum chromodynamics. Here we report a measurement of the difference between the ratios of the mass and charge of deuterons (d) and anti-deuterons (), and 3He and nuclei carried out with the ALICE (A Large Ion Collider Experiment)4 detector in Pb–Pb collisions at a centre-of-mass energy per nucleon pair of 2.76 TeV. Our direct measurement of the mass-over-charge differences confirms CPT invariance to an unprecedented precision in the sector of light nuclei5,6. This fundamental symmetry of nature, which exchanges particles with anti-particles, implies that all physics laws are the same under the simultaneous reversal of charge(s) (charge conjugation C), reflection of spatial coordinates (parity transformation P) and time inversion (T).
When binary systems of neutron stars merge, a very small fraction of their rest mass is ejected, either dynamically or secularly. This material is neutron-rich and its nucleosynthesis provides the astrophysical site for the production of heavy elements in the Universe, together with a kilonova signal confirming neutron-star mergers as the origin of short gamma-ray bursts. We perform full general-relativistic simulations of binary neutron-star mergers employing three different nuclear-physics equations of state (EOSs), considering both equal- and unequal-mass configurations, and adopting a leakage scheme to account for neutrino radiative losses. Using a combination of techniques, we carry out an extensive and systematic study of the hydrodynamical, thermodynamical, and geometrical properties of the matter ejected dynamically, employing the WinNet nuclear-reaction network to recover the relative abundances of heavy elements produced by each configurations. Among the results obtained, three are particularly important. First, we find that, within the sample considered here, both the properties of the dynamical ejecta and the nucleosynthesis yields are robust against variations of the EOS and masses. Second, using a conservative but robust criterion for unbound matter, we find that the amount of ejected mass is ≲10−3 M⊙, hence at least one order of magnitude smaller than what normally assumed in modelling kilonova signals. Finally, using a simplified and gray-opacity model we assess the observability of the infrared kilonova emission finding, that for all binaries the luminosity peaks around ∼1=2 day in the H-band, reaching a maximum magnitude of −13, and decreasing rapidly after one day.
Die vorliegende Arbeit präsentiert Forschungsarbeiten basierend auf nanoskopischen Oberflächenmessungen an plasmonischen Metaoberflächen und zweidimensionalen Materialien, insbesondere dem halbleitenden Übergangsmetal-Dichalcogenid (TMDC) WS_2. Die Thesis ist in sieben Kapitel untergegliedert. Die Einleitung vermittelt einen Überblick über die treibenden Kräfte hinter der Forschung im Bereich der Nanophotonik an zweidimensionalen Materialsystemen. Die Untersuchung der Licht-Materie-Wechselwirkung an dünnen Materialgrenzflächen zieht sich als roter Faden durch die gesamte Arbeit.
Das zweite Kapitel beschreibt den experimentellen Aufbau, der für die Durchführung der nanoskopischen Messungen in dieser Arbeit implementiert wurde. Es werden theoretische Grundlagen, das Messprinzip und die Implementierung des optischen Rasternahfeldmikroskops (s-SNOM) skizziert. Außerdem wird ein Strom-Spannungs-Rasterkraftmikroskop (c-AFM) im Kontaktmodus genutzt, um elektrische Ströme auf mikroskopischen zweidimensionalen TMDC-Terrassen zu messen. In den darauffolgenden vier Kapiteln werden die Beiträge dieser Arbeit zur Untersuchung der Licht-Materie-Wechselwirkung auf der Nanoskala aus verschiedenen Perspektiven vorgestellt. Jedes Kapitel enthält eine kurze Einleitung, einen Theorieteil, Messdaten oder Simulationsergebnisse sowie eine Analyse; vervollständigt durch einen Schlussteil.
Die zentrale Arbeit an einer metallischen Metaoberfläche aus elliptischen Goldscheiben wird in Kapitel 3 vorgestellt. Der zugehörige Theorieteil führt in das Konzept von Oberflächen-Plasmon-Polaritonen (SPP) ein, das für den Forschungsbereich der Plasmonik im Allgemeinen wesentlich ist. Verschiedene Methoden zur Berechnung der Dispersionsrelation dieser Oberflächenmoden an ein- und mehrschichtigen Grenzflächen werden auf die untersuchte Metaoberflächenprobe angewendet. Das Modell sagt drei verschiedene Moden voraus, die sich an der Grenzfläche ausbreiten. Eine teil-gebundene ins Substrat abstrahlende Oberflächenmode sowie zwei vergrabene stark gebundene anisotrope Moden. Eine auf der Probe platzierte Nanokugel aus Silizium wird als radiale Anregungsquelle verwendet.
Der Vergleich mit s-SNOM-Nahfeldbildern zeigt, dass nur die schwach gebundene geführte Modenresonanz ausreichend angeregt wurde, um durch s-SNOM-Bildgebung nachgewiesen werden zu können. Die schwache Oberflächenbindung erklärt die scheinbar isotrope Ausbreitung auf der anisotropen Oberfläche. Die Beobachtung der verbleibenden stark eingegrenzten anisotropen vergrabenen Moden würde eine verbesserte tiefenempfindliche Auflösung des Systems erfordern, die im Prinzip für Schichtdicken von 20 nm möglich sein sollte. Darüber hinaus wirft die Beobachtung die Frage auf, ob die durch Impuls- und Modenvolumenanpassung der Nanokugel gegebene Anregungseffizienz einen ausreichenden Anregungsquerschnitt erzeugt, um nachweisbare vergrabene SPP-Moden zu erzeugen.
In Kapitel 4 wird die Idee der Visualisierung vergrabener elektrischer Felder mit s-SNOM fortgesetzt. Hier wird es auf die Untersuchung von WS_2 angewendet, einem zweidimensionalen TMDC-Material, welches Photolumineszenz zeigt. Durch die Strukturierung des Galliumphosphid-Substrats unter der hängenden Monolage, die von einer dünnen Schicht aus hBN getragen wird, wird die Photolumineszenzausbeute um den Faktor 10 erhöht. Dies wird durch den Entwurf einer lateralen DBR-Mikrokavität mit zusätzlich optimierter vertikaler Tiefe erreicht, die in das Substrat geätzt wurde.
Die hochauflösende Abbildung der elektrischen Feldverteilung im Resonator wird durch den Einsatz von s-SNOM ermöglicht, um die Verbesserung der Einkopplung durch diese beiden Ansätze zu bewerten. Es konnte festgestellt werden, dass die laterale Struktur überwiegend zur verstärkten Photolumineszenzausbeute beiträgt, während für die Einkopplung keine offensichtliche Verstärkung auf die vertikale Strukturoptimierung zurückgeführt werden konnte.
Das zweidimensionale Material WS_2 wird in Kapitel 5 erneut mit Hilfe von c-AFM untersucht. Unterschiedlich dicke Multilagen auf Graphen und Gold dienen als Tunnelbarrieren für vertikale Ströme zwischen Substrat und leitender c-AFM-Messpitze. Die Daten können mit einem Fowler-Nordheim-Modell mit Parametern für die Tunnelbreite und Schottky-Barrierenhöhen der beiden Grenzflächen erklärt werden. Die Messungen zeigen jedoch eine schwache Reproduzierbarkeit, was eine detailliertere Zusammenfassung der relevanten Fehlerquellen erfordert. In der Schlussfolgerung des Kapitels werden mehrere Schlüsselaspekte vorgeschlagen, die bei künftigen Messungen berücksichtigt werden sollten. Entscheidend ist, dass c-AFM sehr empfindlich auf die Adsorption von Wasserfilmen an der Probenoberfläche reagiert, worunter WS_2-Oberflächen unter Umgebungsbedingungen leiden...
The Born cross sections of the e+e− → D*+D*− and e+e− → D*+D− processes are measured using e+e− collision data collected with the BESIII experiment at center-of-mass energies from 4.085 to 4.600 GeV, corresponding to an integrated luminosity of 15.7 fb−1. The results are consistent with and more precise than the previous measurements by the Belle, Babar and CLEO collaborations. The measurements are essential for understanding the nature of vector charmonium and charmonium-like states.
Sensors for high rate charge particle tracking have to withstand the harsh radiation doses deposited by the particles to be sensed. This holds particularly for the novel CMOS Monolithic Active Pixel Sensors, which are considered a promising sensor technology for future vertex detectors due to their very light material budget and excellent spatial resolution. To resist the radiation doses expected close to the interaction regions of heavy-ion experiments, the sensors have to be hardened against radiation doses, which exceed the native tolerance of CMOS technology significantly. In this thesis, the results of non-ionizing radiation hardness studies at the IKF on sensor prototypes developed at the IPHC in Strasbourg are presented. Our results demonstrate that the CMOS sensors evaluated in the context of this thesis can withstand non-ionizing radiation of up to 5×10^14 neq/cm^2. This hardness qualifies them as promising candidates for use in future vertex detectors.
We investigate the effect of large magnetic fields on the (2 + 1)-dimensional reduced-magnetohydrodynamical expansion of hot and dense nuclear matter produced in √sNN = 200 GeV Au+Au collisions. For the sake of simplicity,we consider the casewhere themagnetic field points in the direction perpendicular to the reaction plane. We also consider this field to be external, with energy density parametrized as a two-dimensional Gaussian. The width of the Gaussian along the directions orthogonal to the beam axis varies with the centrality of the collision. The dependence of the magnetic field on proper time (τ ) for the case of zero electrical conductivity of the QGP is parametrized following Deng et al. [Phys. Rev. C 85, 044907 (2012)], and for finite electrical conductivity following Tuchin [Phys. Rev. C 88, 024911 (2013)].We solve the equations of motion of ideal hydrodynamics for such an external magnetic field. For collisions with nonzero impact parameter we observe considerable changes in the evolution of the momentum eccentricities of the fireball when comparing the case when the magnetic field decays in a conducting QGP medium and when no magnetic field is present. The elliptic-flow coefficient v2 of π− is shown to increase in the presence of an external magnetic field and the increment in v2 is found to depend on the evolution and the initial magnitude of the magnetic field.
Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus on a specific architecture, known as Restricted Boltzmann Machine (RBM), and analyse its accuracy for the spin-1/2 J1−J2 antiferromagnetic Heisenberg model in one spatial dimension. The ground state of this model has a non-trivial sign structure, especially for J2/J1>0.5, forcing us to work with complex-valued RBMs. Two variational Ans\"atze are discussed: one defined through a fully complex RBM, and one in which two different real-valued networks are used to approximate modulus and phase of the wave function. In both cases, translational invariance is imposed by considering linear combinations of RBMs, giving access also to the lowest-energy excitations at fixed momentum k. We perform a systematic study on small clusters to evaluate the accuracy of these wave functions in comparison to exact results, providing evidence for the supremacy of the fully complex RBM. Our calculations show that this kind of Ans\"atze is very flexible and describes both gapless and gapped ground states, also capturing the incommensurate spin-spin correlations and low-energy spectrum for J2/J1>0.5. The RBM results are also compared to the ones obtained with Gutzwiller-projected fermionic states, often employed to describe quantum spin models [F. Ferrari, A. Parola, S. Sorella and F. Becca, Phys. Rev. B 97, 235103 (2018)]. Contrary to the latter class of variational states, the fully-connected structure of RBMs hampers the transferability of the wave function from small to large clusters, implying an increase of the computational cost with the system size.
An experiment addressing electron capture (EC) decay of hydrogen-like 142Pm60+ions has been conducted at the experimental storage ring (ESR) at GSI. The decay appears to be purely exponential and no modulations were observed. Decay times for about 9000 individual EC decays have been measured by applying the single-ion decay spectroscopy method. Both visually and automatically analysed data can be described by a single exponential decay with decay constants of 0.0126(7)s−1 for automatic analysis and 0.0141(7)s−1 for manual analysis. If a modulation superimposed on the exponential decay curve is assumed, the best fit gives a modulation amplitude of merely 0.019(15), which is compatible with zero and by 4.9 standard deviations smaller than in the original observation which had an amplitude of 0.23(4).
Ion optical calculations for a storage ring at the present GSI facility for direct proton-induced reactions relevant for different astrophysical processes are presented. As an example case, the 59Cu(p,γ) and 59Cu(p,α) reactions are shown. The branching of these two reactions is important in X-ray burst scenarios, since it determines the breakout out of the major 56Ni waiting point.
Electron identification with a likelihood method and measurements of di-electrons for the CBM-TRD
(2017)
In this work a likelihood method has been implemented and investigated as particle identification algorithm for the CBM-TRD.
The creation of the probability distributions for the likelihood method via V0-topologies seems to be feasible and the purity of the obtained samples is sufficient for the usage in the likelihood method.
The comparison between the ANN and the likelihood method shows no differences in the identification performance. The pion suppression factor reaches the same values for the same electron identification efficiencies and the yields of the resulting di-lepton signals are comparable. The signal-to-background ratios for both methods have the same values and show a value of about 10−2 in the invariant mass range of minv = 1.5 - 2.5 GeV/c2, which is expected to be sufficient to provide access to the thermal in-medium and QGP radiation.
The investigation of a detector system without a TRD shows no pion suppression for a momentum above p = 6 GeV/c. Therefore, the background contributions increase drastically and the signal-to-background ratio decreases at all invariant masses, but especially in the invariant mass range of minv = 1.5 - 2.5 GeV/c2.
The background contributions in the invariant mass range of minv = 1.5 - 2.5 GeV/c 2 are also influenced by the selected electron identification efficiency of the TRD, which significantly shifts the fraction of the eπ contributions relative to the total number of pairs.
Die extrem hohen Interaktionsraten, die mit dem CBM Experiment verfügbar sein werden, erlauben die Messung von einigen der herausfordensten Observablen im Feld der Schwerionenphysik. Im besonderen die Messung von Dileptonen im mittleren Massenbereich ist nahezu unmöglich für eine Vielzahl anderer Experimente, da die extrem kleinen Wirkungsquerschnitte der Produktionskanäle das Auftreten eines messbaren Ereignisses so selten machen, so dass es nicht möglich ist eine ausreichende Anzahl dieser Ereignisse zu messen. Hinzu kommt, dass speziell im Energiebereich des CBM Experiments bisher absolut keine Messdaten verfügbar sind, obwohl es zahlreiche Hinweise von theoretischer Seite und von Messungen bei größeren Kollisionsenergien darauf gibt, dass wir im Energiebereich des CBM Experiments bedeutende Entdeckungen machen k¨onnten. Eine solche Messung dieser Observable könnte einen direkten Zugang zu Informationen bezüglich eines potentiellen Phasenubergangs von hadronischer Materie (bzw. im Hadronengas) in den Zustand eines Quark-Gluonen Plasmas liefern. Zusätzlich bieten Dileptonen noch die Möglichkeit Indikatoren für eine Wiederherstellung der chiralen Symmetrie zu messen...
The 124Xe(p,γ) reaction has been measured for the first time at energies around the Gamow window by using stored ions at the ESR facility. The desired beam energies below 10 MeV/u introduce new experimental challenges like windowless ions detection under UHV conditions, extremely short beam lifetimes and efficient beam deceleration and cooling, all of which have been successfully met.
The neutron-unbound isotope 13Be has been studied in several experiments using different reactions, different projectile energies, and different experimental setups. There is, however, no real consensus in the interpretation of the data, in particular concerning the structure of the low-lying excited states. Gathering new experimental information, which may reveal the 13Be structure, is a challenge, particularly in light of its bridging role between 12Be, where the N = 8 neutron shell breaks down, and the Borromean halo nucleus 14Be. The purpose of the present study is to investigate the role of bound excited states in the reaction product 12Be after proton knockout from 14B, by measuring coincidences between 12Be, neutrons, and γ rays originating from de-excitation of states fed by neutron decay of 13Be. The 13Be isotopes were produced in proton knockout from a 400 MeV/nucleon 14B beam impinging on a CH2 target. The 12 Be-n relative-energy spectrum d σ /d Ef n was obtained from coincidences between 12Be(g.s.) and a neutron, and also as threefold coincidences by adding γ rays, from the de-excitation of excited states in 12Be. Neutron decay from the first 5/2+ state in 13Be to the 2+ state in 12Be at 2.11 MeV is confirmed. An energy independence of the proton-knockout mechanism is found from a comparison with data taken with a 35 MeV/nucleon 14B beam. A low-lying p-wave resonance in 13Be(1/2−) is confirmed by comparing proton- and neutron-knockout data from 14B and 14Be.
Accurate spectroscopy of highly-charged high-Z ions in a storage ring is demonstrated to be feasible by the use of specially adapted crystal optics. The method has been applied for the measurement of the 1s Lamb shift in hydrogen-like gold (Au+78) in a storage ring through spectroscopy of the Lyman x-rays. This measurement represents the first result obtained for a high-Z element using high-resolution wavelength-dispersive spectroscopy in the hard x-ray regime, paving the way for sensitivity to higher- order QED effects.
Attempts to extract the order of the chiral transition of QCD at zero chemical potential, with two dynamical flavors of massless quarks, from simulations with progressively decreasing pion mass, have remained inconclusive because of their increasing numerical cost. In an alternative approach to this problem, we consider the path integral as a function of continuous number Nf of degenerate quarks. If the transition in the chiral limit is first order for Nf≥3, a second-order transition for Nf=2 then requires a tricritical point in between. This, in turn, implies tricritical scaling of the critical boundary line between the first-order and crossover regions as the chiral limit is approached. Noninteger numbers of fermion flavors are easily implemented within the staggered fermion discretization. Exploratory simulations at μ=0 and Nf=2.8, 2.6, 2.4, 2.2, 2.1, on coarse Nτ=4 lattices, indeed show a smooth variation of the critical mass mapping out a critical line in the (m, Nf) plane. For the smallest masses, the line appears consistent with tricritical scaling, allowing for an extrapolation to the chiral limit.
We discuss the possibility to build a neutron target for nuclear reaction studies in inverse kinematics utilizing a storage ring and radioactive ion beams. The proposed neutron target is a specially designed spallation target surrounded by a large moderator of heavy water (D2O). We present the resulting neutron spectra and their properties as a target. We discuss possible realizations at different experimental facilities.
First observation of the competitive double-γ decay process is presented. It is a second-order electromagnetic decay mode. The 662-keV decay transition from the 11/2− isomer of 137Ba to its ground state proceeds at a fraction of 2 × 10−6 by simultaneous emission of two γ quanta instead of one. The observed angular correlation and energy distribution of coincident γ quanta are well described by a dominant M2 – E2 and a minor E3 – M1 contribution to the double-γ decay branch. The data were well accounted for by a calculation using the Quasiparticle Phonon Model.
Quasifree one-proton knockout reactions have been employed in inverse kinematics for a systematic study of the structure of stable and exotic oxygen isotopes at the R3B/LAND setup with incident beam energies in the range of 300–450 MeV/u. The oxygen isotopic chain offers a large variation of separation energies that allows for a quantitative understanding of single-particle strength with changing isospin asymmetry. Quasifree knockout reactions provide a complementary approach to intermediate-energy one-nucleon removal reactions. Inclusive cross sections for quasifree knockout reactions of the type AO(p,2p)A−1N have been determined and compared to calculations based on the eikonal reaction theory. The reduction factors for the single-particle strength with respect to the independent-particle model were obtained and compared to state-of-the-art ab initio predictions. The results do not show any significant dependence on proton-neutron asymmetry.
The radiative electron capture (REC) into the K shell of bare Xe ions colliding with a hydrogen gas target has been investigated. In this study, the degree of linear polarization of the K-REC radiation was measured and compared with rigorous relativistic calculations as well as with the previous results recorded for U92+. Owing to the improved detector technology, a significant gain in precision of the present polarization measurement is achieved compared to the previously published results. The obtained data confirms that for medium-Z ions such as Xe, the REC process is a source of highly polarized x rays which can easily be tuned with respect to the degree of linear polarization and the photon energy. We argue, in particular, that for relatively low energies the photons emitted under large angles are almost fully linear polarized.
The proton-removal mechanism of the 12CB reaction induced on a carbon target via elementary nucleon-nucleon scattering is investigated in exclusive triple-coincidence measurements. The observed two-nucleon angular correlations are found to be consistent with quasi-free scattering of a projectile-like proton off a target-like nucleon. Exclusive cross sections for one-step pp and pn interactions are determined as [formula] and [formula], respectively. The extracted quasi-free component amounts up to 58(4)% of the total proton-removal cross section. The results are compared to total proton-removal cross sections obtained from the experiment and eikonal reaction theory.
Anisotropic collective flow of protons resulting from non-central heavy ion collisions is a unique hadronic observable providing information about the early stage of the nuclear collision. The analysis of collective flow in the energy regime between 1-2 AGeV enables the study of the phase diagram of hadronic matter at a high baryochemical potential µb, as well as the analysis of the equation of state at densities up to the threefold of the ground state density ρ0.
The algorithms of the standard event plane method and the scalar product method are used to analyse directed and elliptic flow of protons in a centrality range of 0-40 % most central events.
Prior to the analysis of experimental data, the respective influence of the reconstruction procedure on the algorithms is examined using Monte Carlo simulations based on the Ultra relativistic Quantum Molecular Dynamics (UrQMD) model.
Subsequently, experimental data measured in April 2012 with the High Acceptance DiElectron Spectrometer (HADES) is analysed using both methods. About 7.3 · 109 Au+Au events at a kinetic beam energy of 1.23 AGeV, equivalent to a centre of mass energy of √sNN = 2.42 GeV were recorded. A multi-differential analysis is feasible as the HADES detector provides a good transverse momentum and rapidity coverage.
Both algorithms result in identical values for directed and elliptic flow across all centrality classes within the observable phase space of protons. The calculated integrated value of v2 at mid rapidity is in good agreement with world data.
In April and May 2012 data on Au+Au collisions at beam energies of Ekin = 1.23A GeV were collected with the High Acceptance Di-Electron Spectrometer (HADES) at the GSI Helmholtzzentrum für Schwerionenforschung facility in Darmstadt, Germany. In this thesis, the production of deuterons in this collision system is investigated.
A total number of 2.1 × 109 Au+Au events is selected, containing the most central 0-40% of events. After particle identification, based on a mass determination via time-of-flight and momentum and on a measurement of the energy loss, the transverse mass spectra of the deuteron candidates are extracted for various rapidities and subsequently corrected for acceptance and efficiency.
The inverse slope parameter of a Boltzmann fit applied to the transverse mass spectra at midrapidity, which is referred to as the effective temperature, is extracted. For a static thermal source, this parameter corresponds to the kinetic freeze-out temperature Tkin and is therefore expected to be smaller or equal to the chemical freeze-out temperature Tchem. The extracted effective temperature of Tef f = (190 ± 10) MeV however exceeds the chemical freeze-out temperature that was obtained by a statistical model fit to different particle yields. The effective temperatures of various particle species, obtained in previous analyses, suggest a systematic rise with increasing particle mass, which is confirmed by the deuteron results.
An explanation can be the influence of a collective expansion with a radial expansion velocity βr. By fitting a Siemens-Rasmussen function to the transverse mass spectra, the global temperature of T = (100 ± 8) MeV and radial expansion velocity βr = 0.37 ± 0.01 are obtained. This temperature is still very high and only takes into account the production of deuteron nuclei.
The simultaneous fit of a blast-wave function to the transverse mass spectra of deuterons and other particles, as obtained by previous analyses, considers a velocity profile for the radial expansion velocity and takes into account the production of various particle species. The resulting global temperature Tkin = (68 ± 1) MeV and average transverse expansion velocity hβri = 0.341 ± 0.003 are within the expected range for the collision energy.
The Siemens-Rasmussen fits are also used to extrapolate the transverse mass spectra into unmeasured regions, to integrate them and obtain a rapidity-dependent count rate. This count rate exhibits a thermal shape for central events and shows increasing spectator contributions for more peripheral events.
The invariant yield spectra of the deuterons are compared to those of protons, as obtained by a previous analysis, in the context of a nucleon coalescence model. The hereby extracted nucleon coalescence factor B2 = (4.6 ± 0.1) × 10−3 agrees with the expected result for the beam energy that was studied.
Ziel der Simulationsstudien in dieser Arbeit war es, die Leistungsfähigkeit des Transition Radiation Detectors zur Identifikation von leichten Kernen und Hyperkernen im CBM-Experiment zu untersuchen. Die Trennung von Helium und Deuterium
mithilfe ihres spezifischen Energieverlustes im TRD ist zentral, um eine Rekonstruktion des seltenen Hyperkerns 6 ΛΛHe mit einem hohen Signal-zu-Untergrund-Verhältnisse zu leisten. Zur Erfüllung der Anforderungen, die sich aus dem CBM-Forschungsprogramm ergeben, wird eine Auflösung des Energieverlustes dEdx von Helium von höchstens 30 % verlangt...
Das CBM Experiment konzentriert sich auf die Untersuchung des Phasendiagramms von stark wechselwirkender Materie im Bereich moderater Temperaturen, aber hoher Netto-Baryonendichte. Dabei sollen unter anderem Proben aus dem frühen und hochdichten Stadium des Quark-Gluon Plasmas detektiert werden. Ein Beispiel dafür ist das J/ψ-Meson. Das Vektormeson gilt wegen seiner Eigenschaften und Interaktion mit dem QGP als eine der wichtigen Proben stark wechselwirkender Materie.
In dieser Arbeit wird die Performance der Detektoren anhand einer Simulation in Hinsicht auf die Messung des J/ψ-Mesons studiert. Es werden hierfür unterschiedliche Simulationsansätze verglichen. Die Simulation wird im FairRoot und CbmRoot Framework durchgeführt. Es werden Proton+Gold Kollisionen bei einer Strahlenergie von 30 GeV pro Proton simuliert. Dabei verwenden wir das Standard-Setup des SIS100 für Elektronen. Das J/ψ-Meson wird über den e+e−-Zerfallskanal rekonstruiert. Bei der J/ψ-Rekonstruktion werden zuerst Schnitte gesetzt, mit der ein großer Teil der Teilchenspuren, die nicht aus J/ψ-Zerfällen stammen, aussortiert werden und so der Untergrund verringert wird.
Die Effizienz für Elektronen im Detektor-Setup RICH+TRD+TOF beträgt 65 Prozent. Für das J/ψ-Meson erhalten wir mit den gleichen Detektoren eine Effizienz von 25 Prozent. Das invariante Massenspektrum, das wir aus einer Simulation mit 8,5 Millionen Ereignisse bilden, zeigt uns, dass der hauptsächliche Anteil des Untergrunds aus Pion-Elektron-Kombinationen besteht. Es folgen im e+e−-Zerfallskanal unkorrelierte Elektron-Positron-Kombinationen als der zweitgrößte Beitrag zum Untergrund. Die Statistik ist bei der Full Simulation zu gering, um das J/ψ-Signal extrahieren zu können. Eine Integration liefert uns ein J/ψ Signal von 0,021 bei 8,5 Millionen Ereignisse, d.h. für die Detektion eines J/ψ-Mesons werden ca. 1010 Ereignisse benötigt.
Die Fast Simulation Methode ermöglicht uns in kürzerer Zeit eine größere Menge an Ereignissen zu simulieren. Dazu werden Information aus der Full Simulation entnommen, die als Antwort-Funktionen bezeichnet werden. Die Antwort-Funktionen werden der Fast Simulation übergeben, um so zeitintensive Prozesse in der Simulation überspringen zu können. Zum Zeitpunkt der Arbeit fehlen Pionen, Protonen und Kaonen in den invarianten Massenspektren der Fast Simulation. Das Problem soll in Zukunft behoben werden. Folglich haben wir ein invariantes Massenspektrum mit 85 Millionen simulierten Ereignissen, jedoch ohne Pionen, Protonen und Kaonen. Wir erhalten daher ein signifikantes J/ψ-Signal, allerdings mit einem unrealistisch hohen S/B-Verhältnis. Ein weiteres Ziel, nach der Implementierung der fehlenden Teilchen, soll die nochmalige Extrahierung des J/ψ-Signals mit korrektem Untergrund sein.
In dieser Arbeit wurde die Messung des Flusses von Protonen in Silber-Silber-Kollisionen bei 1:58 AGeV beschrieben. Dabei wurden drei verschiedene Flow Koeffzienten betrachtet, der gerichtete, der elliptische sowie der dreieckige Fluss.
Nachdem die Protonen zunächst anhand ihrer Masse identifziert wurden, wurde die Reaktionsebene rekonstruiert. Nachfolgend wurde das Vorgehen zur Bestimmmung der ersten drei Flow-Koeffzienten v1, v2 und v3 beschrieben. Diese wurden anschließend in Abhäangigkeit des Transversalimpulses und der Rapidität für vier Zentralitätsklassen im Bereich von 0 - 40% Zentralität dargestellt.
Da die Daten ebenfalls Silber-Kohlenstoff Reaktionen enthalten, weisen die Spektren eine Abweichung vom erwarteten Verlauf auf. Daher wurden diese Reaktionen anhand des in Abschnitt 3.1 beschriebenen Energieverhältnisses ERAT abgeschätzt und mit Hilfe eines Cut-Off Werts ausgeschlossen. Die daraus resultierenden Spektren konnten dadurch verbessert werden.
Im Fall der Gold-Gold Strahlzeit aus dem Jahr 2012 konnten neben Daten der hier diskutierten Flow-Koeffzienten v1, v2 und v3 ebenfalls Koeffzienten höherer Ordnung, v4 und v5, sowie Hinweise auf ein Auftreten von v6 gefunden werden.
Ähnliche Analysen könnten im Fall der Daten der Silber-Silber Kollisionen durchgeführt werden. Hier tritt zwar ein quantitativ kleinerer Fluss auf, da es sich bei den kollidierenden Nuklei um ein kleineres System handelt, jedoch treten im Vergleich zu Gold-Gold Kollisionen etwa zweifach so hohe Event-Raten auf. Somit kann mit der in dieser Arbeit beschriebenen Herangehensweise unter Verwendung der Daten der gesamten Strahlzeit untersucht werden, ob Hinweise auf Flow-Koeffzienten höherer Ordnung zu finden sind.
Außerdem sollte bei den bestehenden Ergebnissen eine Korrektur des Effekts der Occupancy des Detektors durchgeführt werden, da dieser wie in Abschnitt 3.2.1 beschrieben zu Verfälschungen des gemessenen Flusses führt. Dieser Effekt wird insbesondere im Fall des gerichteten Flusses v1 deutlich.
Des Weiteren ist eine Abschätzung der systematischen Fehler der Messungen erforderlich.
Dafür kann untersucht werden, welche Auswahlkriterien und Parameter die Messung beeinflussen, beispielsweise die Spurrekonstruktion und -selektion oder die Teilchenidentifikation. Unter Betrachtung der Auswirkungen auf die Ergebnisse der Flow-Koeffzienten kann die Analyse daraufhin mit Variationen dieser Werte durchgeführt werden. Somit kann der Bereich der systematischen Fehler abgeschätzt werden.
Ziel dieser Arbeit war die Untersuchung eines neuen Prototypen für den Übergangsstrahlungsdetektor im zukünftigen CBM-Experiment. Da der TRD zur Untersuchung des Quark-Gluon-Plasmas im Bereich hoher Baryonendichten bei hohen Kollisionsraten besonders schnell sein muss, wurde ein Prototyp mit einem kleinen Gasvolumen ohne Driftbereich entwickelt. Die Geometrie ist jedoch mit einer Reduzierung der Stabilität der Gasverstärkung verbunden, denn das elektrische Feld in der Kammer ist bei den geringen Abständen von Verformungen des dünnen Kathodenfensters abhängig. Daher wurde eine vielversprechende, veränderte Drahtgeometrie eingeführt: zwischen den Anodendrähten wurden zusätzliche Felddrähte positioniert, um das elektrische Feld im Bereich der Gasverstärkung zu stabilisieren.
Der neue Prototyp mit alternierender Hochspanngung und mit einer Dicke von 8 mm sowie einer aktiven Fläche von 15 x 15 cm2 wurde im Labor mit einer 55Fe-Quelle getestet.
Dazu wurden Strommessungen und eine spektrale Analyse für 25 verschiedene Positionen der Quelle vor der Kammer durchgeführt, sowohl mit der neuen Kammer als auch mit einer Standardkammer als Referenz. Die mit der neuen Kammer verbundenen positiven Erwartungen konnten durchweg bestätigt werden. Sowohl für die Strom- als auch für Energiemessung konnte eine signifikante Verbesserung der Stabilität der Gasverstärkung festgestellt werden. Variationen von über 60 % über die verschiedenen Messpunkte für die Standardkammer konnten mit der Kammer mit alternierender Hochspannung auf unter 15 % reduziert werden. Auch bei einer Variation des differentiellen Drucks, der mit der Ausdehnung des Folienfensters verbunden ist, kann das elektrische Feldes mithilfe der Felddrähte stabilisiert werden. Ebenso kann eine Analyse der Energieauflösung für die mit den Prototypen aufgezeichneten Spektren den stabilisierenden Effekt bestätigen. Eine zusätzliche Verbesserung durch das Anlegen einer negativen Spannung an den Felddrähten konnte allerdings nicht beobachtet werden. Ebenso zeigten die Messungen mit einer zweiten Kammer mit asymmetrischer Geometrie, das heißt die Drahtebene wurde in Richtung der hinteren Kathode verschoben, keine weitere Stabilisierung. Messungen der an den Felddrähten influenzierten Ströme zeigen, dass diese etwa bei einem Drittel der Anodenströme liegen, wobei sie für eine Erhöhung der Felddrahtspannung ebenso wie für die Messung mit der asymmetrischen Kammer leicht ansteigen. Die Ströme an den Felddrähten sind mit der Bewegung der Ionen in der Kammer verbunden, die das elektrische Feld stören können. Durch die Einführung der Felddrähte wird sich ein Teil der Ionen zu diesen bewegen, anstelle den Weg durch die Kammer bis zu den Kathoden zurückzulegen.
Die positiven Ergebnisse für die Kammer mit alternierenden Drähten sind nun Ausgangspunkt für weitere Schritte. Größere Kammern mit einer Fläche von 60 x 60 cm2, wie sie auch im finalen Experiment eingesetzt werden, wurden bereits gebaut und in einem gemischten Elektron-Pion-Strahl am PS (Protonsynchrotron) und mit einem Bleitarget am SPS (Super-Proton Synchrotron) am CERN getestet. Dabei wurde die Dicke des Gasvolumens nochmals – auf 7 mm – reduziert, was die Schnelligkeit des Detektors weiter erhöht, allerdings auch die Stabilität der Gasverstärkung wieder auf die Probe stellt. Die Daten werden derzeit ausgewertet. Eine weitere Analyse auf Basis der Padauslese im Labor ist in Planung. Hierbei ist insbesondere die Verteilung eines Signals über die Pads (Pad-Response-Funktion) von Bedeutung, wobei diese von der Bewegung der Ionen und damit von der Geometrie des elektrischen Feldes beeinflusst wird. Die Einführung der Felddrähte spielt hier eine wesentliche Rolle; insbesondere beträgt der Drahtabständ zwischen den Andodendrähten nun 5 mm, während die Abstände bei den vorhergehenden Generationen bei 2-3 mm lagen.
Auch die Signalform ist von Interesse. Die derzeit ebenfalls in Entwicklung befindliche Ausleseelektronik und die Algorithmen zur Datenverarbeitung sind auf die bekannte Signalform eines Standardprototypen ausgerichtet. Eine veränderte Form müsste entsprechend berücksichtigt werden, um aussagekräftige Ergebnisse zu erhalten. Die Auswertungen in dieser Arbeit zeigen, dass sich die Signalform grundsätzlich nicht von der des Standardprototypen unterscheidet. Wichtig sind auch die Driftzeiten für Elektronen aus der Lawine. Sie spielen eine entscheidende Rolle für die die Schnelligkeit des Detektors. Mit der Einführung der Felddrähte liegen sie zwar zum großen Teil nach wie vor im Bereich eines Standardprototyen mit entsprechender Dicke des Gasvolumens von 8 mm bei bis zu 150 ns, jedoch folgt dann ein sehr langsamer Abfall mit Elektrondriftzeiten von bis zu 450 ns [47]. Eine Verbesserung ist durch ein kleineres Gasvolumen möglich, für einen Anoden-Kathoden-Abstand von 3 mm sinken die maximalen Driftzeiten auf 300 ns. Eine andere Alternative ist das Anlegen einer negativen Spannung an das Eintrittsfenster.
In dieser Arbeit wurde der spezifische Energieverlust im TOF Detektor genutzt, um leichte Kerne zu identifizieren. Da die gemeinsame Betrachtung aller Szintillatorstäbe bei der aktuellen Kalibrierung des TOF Detektors keine eindeutige Zuordnung ermöglicht, wurde der Energieverlust der einzelnen Stäbe individuell parametrisiert. So konnten Helium und sogar Lithium Kerne selektiert werden. Die Impulskorrektur hat für zweifach geladene Kerne, abgesehen von sehr hohen Impulsen, eine erfolgreiche Korrektur der Masse ermöglicht. Bei Lithium hingegen wurde der Impuls überkorrigiert, sodass die Masse zu niedrig rekonstruiert wurde.
Durch Optimierung der Impulskorrektur könnte zusammen mit einer verbesserten Kalibrierung des TOF Detektors ein sehr hohes Auflösungsvermögen erreicht werden. Daher sollte die systematische Impulskorrektur für hohe Impulse durch weitere Simulationen verbessert und der Energieverlust vor dem Auftreffen auf den META Detektor genauer untersucht werden. Optimalerweise würde zur Kalibrierung des TOF Detektors die Abhängigkeit des Energieverlustes vom Winkel, in welchem die Teilchen auf den Detektor treffen, berücksichtigt werden. Ziel ist es, alle Stäbe pro zurückgelegter Wegstrecke zu kalibrieren, sodass weder ein Unterschied durch den Einfallwinkel der Teilchen noch durch die verschiedenen Stablängen aufkommt. Folglich wäre eine sehr spezifische Teilchenselektion möglich.
In dieser Arbeit wurde zunächst schrittweise das Vorgehen beim Bau der TRD Prototypkammern , sowie die Maßnahmen zur Verbesserung der Kammerstabilität erklärt, um sicherzustellen, dass die erhobenen Messdaten zuverlässig sind. Es ist an dieser Stelle nochmals hervorzuheben, dass bereits kleine Veränderungen in der Bauweise einen großen Einfluss auf die Kammerstabilität haben.
Es wurde mit der Kammer 3 der Anodenstrom, die deponierte Photonenenergie und die Clusterrate gemessen. Anschließend wurden diese Daten ausgewertet und aus den Ergebnissen die Gasverstärkung berechnet. Die Auswertung bestätigt, dass die Kammer im Proportionalbereich betrieben wurde. Nach dem Vergleich der Gasverstärkungsfaktoren der Messung mit den simulierten Werten, zeigt sich dass die Messungen stärker als erwartet von den simulierten Werten abweichen.
Für weitere, genauere Aussagen wäre es interessant die Ergebnisse dieser Arbeit durch modifizierte Messungen zu uberprüfen. Dabei könnte der Einfluss verschiedener Gasdrucke innerhalb und außerhalb der Kammer sowie die Variation der Raumtemperatur auf die Gasverstärkung explizit untersucht werden. Außerdem wäre es von großem Interesse, Messungen mit verschiedenen Ar und CO2 und Xe und CO2 Mischverhältnissen durchzuführen, da der TRD im CBM Experiment mit Xe und CO2 betrieben werden soll, und der Gasverstärkungsfaktor ausschlaggebend für die angelegte Anodenspannung im laufenden Betrieb sein wird.
Das CBM-Experiment konzentriert sich auf die Untersuchung der Eigenschaften des Quark-Gluon-Plasmas bei hohen Netto-Baryonendichten und moderaten Temperaturen. An der zukünftigen Beschleunigeranlage FAIR an der GSI findet das Experiment, neben vielen anderen Experimenten, ihren Platz. Der TRD ist, neben dem RICH, STS und TOF, einer der zentralen Detektoren im CBM-Experiment. Der TRD nutzt dabei den physikalischen Effekt der Übergangsstrahlung, die durch ein geladenes Teilchen beim Durchqueren einer Grenze zweier Medien mit unterschiedlichen Dielektrizitätskonstanten mit einer gewissen Wahrscheinlichkeit entsteht, um Elektronen von Pionen trennen zu können. Im Jahr 2017 wurde an der DESY 4 TRD-Prototypen in einer Teststrahlzeit getestet. Dabei handelt es sich um große TRD-Module mit den Maßen 95 · 95 cm2 , was dem finalen Design sehr nahe kommt. Die Untersuchung der DESY-Daten in Kapitel 5 brachte große Problematiken in den Daten zum Vorschein. Die Hauptprobleme der DESY-Daten sind: 1) Bug des SPADIC-Chips 2.0, bei der FN-Trigger zeitlich verschoben wurden; 2) schwache und suboptimale Trigger-Bedingung, wodurch sehr viel Rauschen aufgenommen wurde. Die Daten müssen für weitere Auswertung aufbereitet werden, wobei sehr viel Information und Statistik verloren geht, da einige Daten durch diverse Probleme nicht mehr rekonstruierbar sind. Kapitel 6 beschäftigt sich mit der Simulation der Detektorantwort und geht genauer auf die einzelnen Schritte, die zur Simulation des vom SPADIC erzeugten Pulses benötigt werden, ein. Am Ende werden Ergebnisse aus beiden Datensätzen miteinander verglichen. Um einen optimalen Vergleich zu gewähren, wird die Simulation bestmöglich an die Einstellungen in der Teststrahlzeit angepasst. Hauptsächlich geht es um die Erhöhung des Gasgains und der Verschiebung der Peaking-Zeit des Pulses. Im Allgemeinen können wir in der Simulation einige Effekte, die auch in den DESY-Daten vorkommen, nachsimulieren. Wir erhalten zum Teil sehr unterschiedliche Ergebnisse in der Simulation, deren Richtigkeit nicht verifiziert werden kann, da die Daten aufgrund der Probleme unzuverlässig werden. Durch die Analyse der DESY-Daten konnten wir die Problematik in den Daten besser verstehen. Eine sinnvolle Anpassung der Simulation wird durch die Unzuverlässigkeit der DESY-Daten unmöglich. Für die Optimierung der Simulation müsste man einen Vergleich mit neueren, zuverlässigeren Daten aus zukünftigen Teststrahlzeiten nehmen.
The Coulomb Dissociation (CD) cross sections of the stable isotopes 92,94,100Mo and of the unstable isotope 93Mo were measured at the LAND/R3B setup at GSI Helmholtzzentrum für Schwerionenforschung in Darmstadt, Germany. Experimental data on these isotopes may help to explain the problem of the underproduction of 92,94Mo and 96,98Ru in the models of p-process nucleosynthesis. The CD cross sections obtained for the stable Mo isotopes are in good agreement with experiments performed with real photons, thus validating the method of Coulomb Dissociation. The result for the reaction 93Mo(γ,n) is especially important since the corresponding cross section has not been measured before. A preliminary integral Coulomb Dissociation cross section of the 94Mo(γ,n) reaction is presented. Further analysis will complete the experimental database for the (γ,n) production chain of the p-isotopes of molybdenum.
The process of electron-loss to the continuum (ELC) has been studied for the collision systems U28++H2 at a collision energy of 50 MeV/u, U28++N2 at 30 MeV/u, and U28++Xe at 50 MeV/u. The energy distributions of cusp electrons emitted at an angle of 0∘ with respect to the projectile beam were measured using a magnetic forward-angle electron spectrometer. For these collision systems far from equilibrium charge state, a significantly asymmetric cusp shape is observed. The experimental results are compared to calculations based on first-order perturbation theory, which predict an almost symmetric cusp shape. Some possible reasons for this discrepancy are discussed.
The decay properties of the Pygmy Dipole Resonance (PDR) have been investigated in the semi-magic N=82 nucleus 140Ce using a novel combination of nuclear resonance fluorescence and γ–γ coincidence techniques. Branching ratios for transitions to low-lying excited states are determined in a direct and model-independent way both for individual excited states and for excitation energy intervals. Comparison of the experimental results to microscopic calculations in the quasi-particle phonon model exhibits an excellent agreement, supporting the observation that the Pygmy Dipole Resonance couples to the ground state as well as to low-lying excited states. A 10% mixing of the PDR and the [21+ x PDR] is extracted.
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.
Experimental study of the ¹⁵O(2p,γ)¹⁷Ne cross section by Coulomb dissociation for the rp process
(2016)
The time-reversed reaction 15O(2p, γ)17Ne has been studied by the Coulomb dissociation technique. Secondary 17Ne ion beams at 500 AMeV have been produced by fragmentation reactions of 20Ne in a beryllium production target and dissociated on a secondary Pb target. The incoming beam and the reaction products have been identified with the kinematically complete LAND-R3B experimental setup at GSI. The excitation energy prior to decay has been reconstructed by using the invariant-mass method. The preliminary differential and integral Coulomb Dissociation cross sections (σCoul) have been calculated, which provide a photoabsorption (σphoto) and a radiative capture cross section (σcap). Additionally, important information about the nuclear structure of the 17Ne nucleus will be obtained. The analysis is in progress.
Exclusive measurements of quasi-free proton scattering reactions in inverse and complete kinematics
(2015)
Quasi-free scattering reactions of the type (p, 2p)were measured for the first time exclusively in com-plete and inverse kinematics, using a 12C beam at an energy of ∼400MeV/u as a benchmark. This new technique has been developed to study the single-particle structure of exotic nuclei in experiments with radioactive-ion beams. The outgoing pair of protons and the fragments were measured simultaneously, enabling an unambiguous identification of the reaction channels and a redundant measurement of the kinematic observables. Both valence and deeply-bound nucleon orbits are probed, including those leading to unbound states of the daughter nucleus. Exclusive (p, 2p)cross sections of 15.8(18)mb, 1.9(2)mb and 1.5(2)mb to the low-lying 0p-hole states overlapping with the ground state (3/2−) and with the bound excited states of 11B at 2.125MeV (1/2−) and 5.02MeV (3/2−), respectively, were determined via γ-ray spectroscopy. Particle-unstable deep-hole states, corresponding to proton removal from the 0s-orbital, were studied via the invariant-mass technique. Cross sections and momentum distributions were ex-tracted and compared to theoretical calculations employing the eikonal formalism. The obtained results are in a good agreement with this theory and with direct-kinematics experiments. The dependence of the proton–proton scattering kinematics on the internal momentum of the struck proton and on its sep-aration energy was investigated for the first time in inverse kinematics employing a large-acceptance measurement.
Navigating a complex environment is assumed to require stable cortical representations of environmental stimuli. Previous experimental studies, however, show substantial ongoing remodeling at the level of synaptic connections, even under behaviorally and environmentally stable conditions. It remains unclear, how these changes affect sensory representations on the level of neuronal populations during basal conditions and how learning influences these dynamics.
Our approach is a joint effort between the analysis of experimental data and theory. We analyze chronic neuronal population activity data – acquired by out collaborators in Mainz – to describe population activity dynamics during basal dynamics and during learning (fear conditioning). The data analysis is complemented by the analysis of a circuit model investigating the link between a neural network’s activity and changes in its underlying structure.
Using chronic two-photon imaging data recorded in awake mouse auditory cortex, we reproduce previous findings that responses of neuronal populations to short complex sounds typically cluster into a near discrete set of possible responses. This means that different stimuli evoke basically the same response and are thus grouped together into one of a small set of possible response modes. The near discrete set of response modes can be utilized as a sensitive and robust means to detect and track changes in population activity over time. Doing so we find that sound representations are subject to a significant ongoing remodeling across the time span of days under basal conditions. Auditory cued fear conditioning introduces a bias into these ongoing dynamics, resulting in a differential generalization both on the level of neuronal populations and on the behavioral level. This means that sounds that are perceived similar to the conditioned stimulus (CS+) show an increased co-mapping to the same response mode the CS+ is mapped to. This differential generalization is also observed in animal behavior, where sounds similar to the CS+ result in the same freezing behavior as the CS+, whereas dissimilar sounds do not. These observations could provide a potential mechanism of stimulus generalization, which is one of the most common phenomena associated with post-traumatic stress disorder, on the level of neuronal populations.
To investigate how the aforementioned changes in neuronal population activity are linked to changes in the underlying synaptic connectivity, we devised a circuit model of excitatory and inhibitory neurons. We studied this firing rate model to investigate the effect of gradual changes in the network’s connectivity on its activity. Apart from an input dominated uni-stable regime (one response per stimulus independent of the network) and a network dominated uni-stable regime (one response per network independent of the stimulus), we also find a multi-stable regime for strong recurrent connectivity and a high ratio of inhibition to excitation. In this regime the model reproduces properties of neural population activity in mouse auditory cortex, including sparse activity, a broad distribution of firing rates, and clustering of stimuli into a near discrete set of response modes. This clustering in the multi-stable regime means that, not only can identical stimuli evoke different responses, depending on the network’s initial condition, but different stimuli can also evoke the same response.
Applying gradual drift to the network connectivity we find periods of stable responses, interrupted by abrupt transitions altering the stimulus response mapping. We study the mechanism underlying these transitions by analyzing changes in the fixed points of this network model, employing a method to numerically find all the fixed points of the system. We find that such abrupt transitions typically cannot be explained by the mere displacement of existing fixed points, but involve qualitative changes in the fixed point structure in the vicinity of the response trajectory. We conclude that gradual synaptic drift can lead to abrupt transitions in stimulus responses and that qualitative changes in the network’s fixed point topology underlie such transitions.
In summary we find that cortical networks display ongoing representational drift under basal conditions that is biased towards a differential generalization during fear conditioning. A circuit model is able to reproduce key characteristics of auditory cortex, including a clustering of stimulus responses into a near discrete set of response modes. Implementing synaptic drift into this model leads to periods of stable responses interrupted by abrupt transitions towards new responses.
Impact parameter sensitive study of inner-shell atomic processes in Xe54+, Xe52+ → Xe collisions
(2020)
In this work, we present a pilot experiment in the experimental storage ring (ESR) at GSI devoted to impact parameter sensitive studies of inner shell atomic processes for bare and He-like xenon ions (Xe54+, Xe52+) colliding with neutral xenon gas atoms. The projectile and target x-rays have been measured at different observation angles for all impact parameters as well as for the impact parameter range of ∼35 - 70 fm.
NeuLAND (New Large-Area Neutron Detector) is the next-generation neutron detector for the R3B (Reactions with Relativistic Radioactive Beams) experiment at FAIR (Facility for Antiproton and Ion Research). NeuLAND detects neutrons with energies from 100 to 1000 MeV, featuring a high detection efficiency, a high spatial and time resolution, and a large multi-neutron reconstruction efficiency. This is achieved by a highly granular design of organic scintillators: 3000 individual submodules with a size of 5 × 5 × 250 cm3 are arranged in 30 double planes with 100 submodules each, providing an active area of 250 × 250 cm2 and a total depth of 3 m. The spatial resolution due to the granularity together with a time resolution of 150 ps ensures high-resolution capabilities. In conjunction with calorimetric properties, a multi-neutron reconstruction efficiency of 50% to 70% for four-neutron events will be achieved, depending on both the emission scenario and the boundary conditions allowed for the reconstruction method. We present in this paper the final design of the detector as well as results from test measurements and simulations on which this design is based.
We measured the Coulomb dissociation of 16O into 4He and 12C at the R3B setup in a first campaign within FAIR Phase 0 at GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt. The goal was to improve the accuracy of the experimental data for the 12C(α,γ)16O fusion reaction and to reach lower center-ofmass energies than measured so far.
The experiment required beam intensities of 109 16O ions per second at an energy of 500 MeV/nucleon. The rare case of Coulomb breakup into 12C and 4He posed another challenge: The magnetic rigidities of the particles are so close because of the same mass-to-charge-number ratio A/Z = 2 for 16O, 12C and 4He. Hence, radical changes of the R3B setup were necessary. All detectors had slits to allow the passage of the unreacted 16O ions, while 4He and 12C would hit the detectors' active areas depending on the scattering angle and their relative energies. We developed and built detectors based on organic scintillators to track and identify the reaction products with sufficient precision.
We discuss the electron-optical properties of a toroidal magnetic sector spectrometer and its suitablilty for electron-positron pair spectroscopy in relativistic ion-atom collisions in the future HESR storage ring at FAIR. With the simultaneous mapping of electrons and positrons and geometric invariants in the lepton trajectorties this instrument offers a very high efficiency for studies of vector momentum correlation in free-free pair production.