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Institute
- Physik (223)
- MPI für Biophysik (1)
This thesis aims to investigate the properties of hadronic matter by analyzing fluctuations of conserved charges. A transport model (SMASH) is used for these studies to achieve this. The first part of this thesis focuses on examining transport coefficients, specifically the diffusion coefficients of conserved charges and the shear viscosity. The second part investigates equal-time correlations of particle numbers in the form of cumulants. The last chapter studies different aspects of the isobar collision systems Ru and Zr.
As a first step, the hadronic medium and interactions between its constituents are introduced, and simultaneously, their impact on transport coefficients is investigated. The methodology is verified by comparing the results of SMASH with Chapman-Enskog calculations, followed by examining 3-to-1 multi-particle reactions, revealing their influence on shear viscosity and electrical diffusion. The analysis of the full hadron gas considers angle-dependent cross-sections and additional elastic cross-sections via the AQM description, showing significant impacts on transport coefficients. The dependency on the number of degrees of freedom is explored, with noticeable effects on diffusion coefficients but a smaller influence on the shear viscosity. At non-zero baryon chemical potential, the diffusion coefficients are strongly influenced, while the shear viscosity remains unaffected. Overall, the study underscores the importance of individual cross-sections and the modeling of interactions on transport coefficients.
The following chapter explores fluctuations of conserved charges, crucial for understanding phase transitions in heavy-ion collision from the quark-gluon plasma to the hadronic phase. Using SMASH, the impact of global charge conservation on particle number cumulants in subvolumes of boxes simulating infinite matter is studied. Comparisons with simpler systems highlights the influence of hadronic interactions on cumulants, especially via charge annihilation processes and the results from SMASH shows agreement with analytical calculations. Calculations at finite baryon chemical potential reveals a transition from a Poisson to Skellam distribution within the net proton cumulants. It is shown that an unfolding procedure to obtain the net baryon fluctuations from the net proton ones deviates from the actual net baryon result, particularly in larger volumes. Finally, net proton correlations at vanishing baryon chemical potential align with ALICE measurements and the net proton cumulants are unaffected by deuteron formation.
In the next step, the goal is to investigate critical fluctuations in the hadronic medium. Therefore, the hadronic system is initialized with critical equilibrium fluctuations by coupling the hadron resonance gas with the 3D Ising model. The single-particle probability distributions are derived from the principle of maximum entropy. Evolving these distributions in SMASH, their development in an expanding sphere adjusted to experimental conditions can be analyzed. It reveals resonance decay and formations as the primary source that affects the particle cumulants. Because of isospin randomization processes, critical fluctuations are better preserved in net nucleon numbers. However, for the strongest coupling investigated in this work, correlations of the critical field are still present in the final state of the evolution in the net proton fluctuations. Examining cumulant dependence on rapidity windows shows a non-monotonic trend.
In the third part, collisions involving the isobars Ru and Zr are studied at a center-of-mass energy of 200 GeV. Initially, SMASH is used to study the initial conditions to hydrodynamical simulations, emphasizing the importance of the nuclear structure of isobars on the geometry of the collision area. It is found that the deformation parameters notably influence the initial state. Correlations between nucleon-nucleon pairs on eccentricity fluctuations yield no significant effect. Subsequently, the hydrodynamic model vHLLE evolves the previously explored initial conditions and for the transition between the hydrodynamic and kinetic descriptions, the Cooper-Frye formula is used. Usage of the canonical ensemble ensures the exact conservation of the conserved charges B, Q, and S. The neutron skin effect, which changes the charge distribution within Ru nuclei, is additionally considered. Fluctuations are assessed, revealing suppression in large rapidity windows due to global charge conservation. The hadronic phase modifies fluctuations of net pions, net kaons, and net protons via annihilation processes, yet fluctuations remain unaffected by the neutron skin effect.
The equation of state (EoS) of matter at extremely high temperatures and densities is currently not fully understood, and remains a major challenge in the field of nuclear physics. Neutron stars harbor such extreme conditions and therefore serve as celestial laboratories for constraining the dense matter EoS. In this thesis, we present a novel algorithm that utilizes the idea of Bayesian analysis and the computational efficiency of neural networks to reconstruct the dense matter equation of state from mass-radius observations of neutron stars. We show that the results are compatible with those from earlier works based on conventional methods, and are in agreement with the limits on tidal deformabilities obtained from the gravitational wave event, GW170817. We also observe that the resulting squared speed of sound from the reconstructed EoS features a peak, indicating a likely convergence to the conformal limit at asymptotic densities, as expected from quantum chromodynamics. The novel algorithm can also be applied across various fields faced with computational challenges in solving inverse problems. We further examine the efficiency of deep learning methods for analyzing gravitational waves from compact binary coalescences in this thesis. In particular, we develop a deep learning classifier to segregate simulated gravitational wave data into three classes: signals from binary black hole mergers, signals from binary neutron star mergers, or white noise without any signals. A second deep learning algorithm allows for the regression of chirp mass and combined tidal deformability from simulated binary neutron star mergers. An accurate estimation of these parameters is crucial to constrain the underlying EoS. Lastly, we explore the effects of finite temperatures on the binary neutron star merger remnant from GW170817. Isentropic EoSs are used to infer the frequencies of the rigidly rotating remnant and are noted to be significantly lower compared to previous estimates from zero temperature EoSs. Overall, this thesis presents novel deep learning methods to constrain the neutron star EoS, which will prove useful in future, as more observational data is expected in the upcoming years.
The core of this work is represented by the investigation of the chiral phase transition, using Monte Carlo simulations and unimproved staggered fermions, both in the weak and strong coupling regimes of Quantum Chromodynamics. Based on recent results from Monte Carlo simulations, both using unimproved staggered fermions and Wilson fermions, the chiral phase transition in the continuum and chiral limit shows compatibility with a second-order phase transition for Nf (number of flavours) in range [2:7], at zero baryon chemical potential. This achievement relies on the analytic continuation of Nf to non-integer values on the lattice, which allows to make use of extrapolation techniques to the chiral limit, where simulations are not possible. Furthermore, these results provide a resolution to the ambiguous scenario for Nf = 2 in the chiral limt. The first part of this thesis is devoted to the investigation of the chiral phase transition when a non-zero imaginary baryon chemical potential is involved, whose value corresponds to the 81% of the Roberge-Weiss one. Using the same extrapolation techniques aforementioned, the order of the chiral phase transition in the continuum and chiral limit shows compatibility with a second-order phase transition for Nf in range [2:6], highlighting a lack of dependence of the order of the chiral phase transition on the imaginary baryon chemical potential value. The second part of this thesis is about the study of the extension of the first-order chiral region in the strong coupling regime, at zero baryon chemical potential. Using Monte Carlo techniques, this can be done by investigating the Z2 boundary on a coarse lattice, whose temporal extent reads Nt = 2, and simulations are realised for Nf = 4, 8. The results in the weak coupling regime show, for $Nt = 8, 6, 4 and fixed Nf value, an inflating first-order chiral region. As in the strong coupling limit a second-order chiral phase transition is expected, the first-order chiral region has to shrink as the strong coupling regime is approached, resulting in a non-monotonic behaviour of the Z2 boundary. For Nf = 8, a critical mass on the Z2 boundary has been obtained, confirming the expected non-monotonic behaviour. For Nf = 4 the results do not provide a unique conclusion: Either a Z2 boundary at extremely low bare quark mass or a second-order chiral phase transition in the O(2) universality class in the chiral limit can take place. In addition to the two main topics, the performances of the second-order minimum norm integrator (2MN) and the fourth-order minimum norm integrator (4MN) have been compared, after implementing the 4MN one in the CL2QCD code used to realise our simulations. The 2MN integrator had already been implemented in the code since the first version was released. The two integrators belong to the class of symplectic integrators and represent an essential component of the RHMC algorithm, involved in our investigation. This step is extremely important, in order to guarantee the best quality when collecting data from simulations, and the results of the comparison suggested to favor the 2MN integrator, for both the topics.
A powerful technique to distinguish the enantiomers of a chiral molecule is the Coulomb Explosion Imaging (CEI). This technique allows us to determine the handedness of a single molecule. In CEI, the molecule becomes charged by losing many electrons in a very short period of time by interacting with the light. The repulsion forces between the positive charged particles of the molecule leads the molecule to break into parts-fragments. By measuring the three vector momentum of (at least) four fragments, the handedness observable can be determined. In this thesis, CEI is induced by absorption of a single high energy photon, which creates an inner-shell hole (K shell) of the molecule. The subsequent cascade of Auger decays lead to fragmentation. We decided to work with the formic acid molecule in this thesis. Two different experiments were conducted. The first experiment focused on exciting electrons to different energy states, while the second experiment focused on extracting directly a photoelectron to the continuum and measure the angular distribution of the photoelectron in the molecular frame. The primary goal was to search for chiral signal in a pure achiral planar molecule under the previous electron processes. The results of these findings were further implemented to two more molecules.
In the framework of the LHC Injectors Upgrade Project (LIU), the CERN Proton Synchrotron Booster (PSB) went through major upgrades resulting in new effects to study, challenges to overcome and new parameter regimes to explore. To assess the achievable beam brightness limit of the machine, a series of experimental and computational studies in the transverse planes were performed. In particular, the new injection scheme induces optics perturbations that are strongly enhanced near the half-integer resonance. In this thesis, methods for dynamically measuring and correcting these perturbations and their impact on the beam performance will be presented. Additionally, the quality of the transverse beam distributions and strategies for improvement will be addressed. Finally, the space charge effects when dynamically crossing the half-integer resonance will be characterized. The results of these studies and their broader significance beyond the PSB will be discussed.
In this thesis, the flow coefficients vn of the orders n = 1 − 6 are studied for protons and light nuclei in Au+Au collisions at Ebeam = 1.23 AGeV, equivalent to a center-of-mass energy in the nucleon-nucleon system of √sNN = 2.4 GeV. The detailed multi-differential measurement is performed with the HADES experiment at SIS18/GSI. HADES, with its large acceptance, covering almost full azimuth angle, combined with its high mass-resolution and good particle-identification capability, is well equipped to study the azimuthal flow pattern not only for protons, deuterons, and tritons but also for charged pions, kaons, the φ-mesons, electrons/positrons, as well as light nuclei like helions and alphas. The high statistics of more than seven billion Au-Au collisions recorded in April/May 2012 with HADES enables for the first time the measurement of higher order flow coefficients up to the 6th harmonic. Since the Fourier coefficient of 7th and 8th order are beyond the statistical significance only an upper bound is given. The Au+Au collision system is the largest reaction system with the highest particle multiplicities, which was measured so far with HADES. A dedicated correction method for the flow measurement had to be developed to cope with the reconstruction in-efficiencies due to occupancies of the detector system. The systematical bias of the flow measurement is studied and several sources of uncertainties identified, which mainly arise from the quality selection criteria applied to the analyzed tracks, the correction procedure for reconstruction inefficiencies, the procedures for particle identification (PID) and the effects of an azimuthally non-uniform detector acceptance. The systematic point-to-point uncertainties are determined separately for each particle type (proton, deuteron and triton), the order of the flow harmonics vn, and the centrality class. Further, the validity of the results is inspected in the range of their evaluated systematic uncertainties with several consistency checks. In order to enable meaningful comparisons between experimental observations and predictions of theoretical models, the classification of events should be well defined and in sufficiently narrow intervals of impact parameter. Part of this work included the implementation of the procedure to determine the centrality and orientation of the reaction.
In the conclusion the experimental results are discussed, including various scaling properties of the flow harmonics. It is found that the ratio v4/v2 for protons and light nuclei (deuterons and tritons) at midrapidity for all centrality classes approaches values close to 0.5 at high transverse momenta, which was suggested to be indicative for an ideal hydrodynamic behaviour. A remarkable scaling is observed in the pt dependence of v2 (v4) at mid-rapidity of the three hydrogen isotopes, when dividing by their nuclear mass number A (A^2) and pt by A. This is consistent with naive expectations from nucleon coalescence, butraises the question whether this mass ordering can also be explained by a hydrodynamical-inspired approach, like the blast-wave model. The relation of v2 and v4 to the shape of the initial eccentricity of the collision system is studied. It is found that v2 is independent of centrality for all three particle species after dividing it by the averaged second order participant eccentricity v2/⟨ε2⟩. A similar scaling is shown for v4 after division by ⟨ε2⟩^2.
This thesis investigates exotic phases within effective models for strongly interacting matter.
The focus lies on the chiral inhomogeneous phase (IP) that is characterized by a spontaneous breaking of translational symmetry and the moat regime, which is a precursor phenomenon exhibiting a non-trivial mesonic dispersion relation.
These phenomena are expected to occur at non-zero baryon densities, which is a parameter region that is mostly non-accessible to first-principle investigations of Quantum chromodynamics (QCD).
As an alternative approach, we consider the Gross-Neveu (GN) and Nambu-Jona-Lasinio (NJL) model within the mean-field approximation, which can be regarded as effective models for QCD.
We focus on two aspects of the moat regime and the IP in these models.
First, we investigate the influence of the employed regularization scheme in the (3+1)-dimensional NJL model, which is nonrenormalizable, i.e., the regulator cannot be removed.
We find that the moat regime is a robust feature under change of regularization scheme, while the IP is sensitive to the specific choice of scheme.
This suggests that the moat regime is a universal feature of the phase diagram of the NJL model, while the IP might only be an artifact of the employed regulator.
Second, we study the influence of the number of spatial dimensions on the emergence of the IP.
To this end, we investigate the GN model in noninteger spatial dimensions d.
We find that the IP and the moat regime are present for d < 2, while they are absent for d > 2.
This demonstrates the central role of the dimensionality of spacetime and illustrates the connection of previously obtained results in this model in integer number of spatial dimensions.
Moreover, this suggests that the occurrence of these phenomena in three spatial dimensions is solely caused by the finite regulator.
In summary, this thesis contributes to advancing our understanding of the phase structure of QCD, particularly regarding the existence and characteristics of inhomogeneous phases and the moat regime.
Even though the investigations are performed within effective models, they provide valuable insight into the aspects that are crucial for the formation of an inhomogeneous chiral condensate in fermionic theories.
By combining two unique facilities at the Gesellschaft fuer Schwerionenforschung (GSI), the Fragment Separator (FRS) and the Experimental Storage Ring (ESR), the first direct measurement of a proton capture reaction of stored radioactive isotopes was accomplished. The combination of well-defined ion energy, an ultra-thin internal gas target, and the ability to adjust the beam energy in the storage ring enables precise, energy-differentiated measurements of the (p,gamma) cross sections. The new setup provides a sensitive method for measuring (p,gamma) reactions relevant for nucleosynthesis processes in supernovae, which are among the most violent explosions in the universe and are not yet well understood. The cross sections of the 118Te(p,gamma) and 124Xe(p,gamma) reactions were measured
at energies of astrophysical interest. The heavy ions were stored with energies of 6 MeV/nucleon and 7 MeV/nucleon and interacted with a hydrogen gas-jet target.
The produced proton-capture products were detected with a double-sided silicon strip detector. The radiative recombination process of the fully stripped ions and electrons from the hydrogen target was used as a luminosity monitor.
Additionally, post-processing nucleosynthesis simulations within the NuGrid [1] research platform have been performed. The impact of the new experimental results on the p-process nucleosynthesis around 124Xe and 118Te in a core-collapse supernova was investigated. The successful measurement of the proton capture cross sections of radioactive isotopes rises the motivation to proceed with experiments in lower energy regions.
[1] M. Pignatari and F. Herwig, “The nugrid research platform: A comprehensive simulation approach for nuclear astrophysics,” Nuclear Physics News, vol. 22, no. 4, pp. 18–23, 2012.
In this thesis, we present a detailed consideration of both qualitative and quantitative properties of static spherically symmetric solutions of the Einstein equations with self-interacting scalar fields. Our focus is on solutions with naked singularities. We study the qualitative properties of the solutions of the Einstein equations with real static self-interacting $N$ scalar fields, making some assumptions on self-interaction. We provide a rigorous proof that the corresponding solutions will be regular up to $r=0$. Furthermore, we find the rigorous form of asymptotic solutions near the singularity and at spatial infinity. We construct some examples of spherical-like naked singularities at $r=r_s\neq0$ in curvature coordinates.
We analyze the stability of the previously considered solutions against odd-parity gravitational perturbations and also examine the fundamental quasi-normal modes spectra. For the general class of the self-interaction potential, we demonstrate well-posedness of the initial problem and stability for positively defined potentials. As an example, we numerically study the case of the scalar field with power-law self-interaction potential and find the fundamental quasi-normal modes frequencies. We demonstrate that they differ from the standard Schwarzschild black hole case.
We study in detail the motion of particles in the vicinity of previously considered solutions. Mainly, we are interested in considering properties of the distribution of stable circular orbits around the corresponding configurations and images of the accretion disk for a distant observer. For all cases, we find possible types of stable circular orbit distributions and domains of parameters where they are realized.
We also demonstrate that the presence of self-interaction can lead to a new type of circular orbit distributions, which is absent in the linear massless scalar field case. We build Keplerian disk images in the plane of a distant observer and demonstrate the possibility to mimic the shadows of black holes.
In this thesis, the early time dynamics in a heavy ion collision of Pb-Nuclei at LHC center-of-mass energies of 5 TeV is studied. Right after the collision the system is out-of-equilibrium and essentially gluon dominated, with their density saturating at a specific momentum scale Q_s. Based on a separation of scales for the soft and hard gluonic degrees of freedom, the initial state is given from an effective model, known as the Color Glass Condensate. Within this model, the soft gluons behave classical to leading order, making it possible to study their dynamics in gauge invariant fashion on a three dimensional lattice, solving Hamiltonian field equations of motion, keeping real time. Quark-Antiquark pairs are produced in the gluonic medium, known as the Glasma and manifest themselves as a source of quantum fluctuations.
They enter the dynamics of the gluons as a current, making the system semi-classical. In lattice simulations, the non-equilibrium system is tested for pressure isotropization, which is a necessary ingredient to reach a local thermal equilibrium (LTE), making a hydrodynamical description at a later stage possible. In addition, the occupation of energy modes is studied with its implications on thermalization and classicality.
Das Experiment ALICE (A Large Ion Collider Experiment) am CERN (Conseil Européen pour la Recherche Nucléaire) LHC (Large Hadron Collider) fokussiert sich auf die Untersuchung stark wechselwirkender Materie unter extremen Bedingungen. Solche Bedingungen existierten wenige Mikrosekunden nach dem Urknall, als die Temperaturen so hoch waren, dass Partonen (Quarks und Gluonen) nicht zu farbneutralen Hadronen gebunden waren. In solch einem Quark-Gluon-Plasma können sich die Partonen frei bewegen, wobei sie allerdings mit anderen Partonen aus dem Medium stark wechselwirken. Am LHC werden Bleikerne auf ultra-relativistische Energien von bis zu 2.68 TeV beschleunigt und zur Kollision gebracht, wobei für weniger als 10 fm/c ein QGP entsteht, das schnell expandiert. Die Partonen hadronisieren, wenn das QGP sich auf Temperaturen von weniger als der Phasenübergangstemperatur von ≈155MeV abkühlt. Die finalen Teilchen- und Impulsverteilungen werden werden vom ALICE Detektor gemessen und geben Aufschluss auf elementare Prozesse im QGP.
Die TPC (Time Projection Chamber ) ist eines der wichtigsten Detektorsysteme von ALICE. Sie trägt maßgeblich zur Rekonstruktion von Teilchenspuren und zur Identifikation der Teilchensorten bei mittleren Rapiditäten bei. Die TPC ist eine große zylindrische Spurendriftkammer und besteht aus einem 88mˆ3 großen Gasvolumen, das von der zentralen Hochspannungselektrode in zwei Seiten geteilt wird. Durchquert ein Teilchen das Gasvolumen, ionisiert es entlang seiner Spur eine spezifische Menge von Gasatomen. Die Ionisationselektronen driften entlang des extrem homogenen elektrischen Feldes zu den Auslesekammern an den Endkappen auf beiden Seiten der TPC. Die Messung der Position und der Menge der Ionisationselektronen erlaubt die Rekonstruktion der Teilchenspur sowie, in Kombination mit der Impulsmessungen über die Krümmung der Teilchenspur im Magnetfeld, die Bestimmung der Teilchensorte über den spezifischen Energieverlust pro Wegstrecke im Gas. Das Gasvolumen der TPC war in LHC Run 1 (2010–2013) mit Ne-CO_2 (90-10) gefüllt. Die Gasmischung wurde zu Ar-CO_2 (88-12) für Run 2 (2015–2018) geändert. Als Auslesekammern wurden Vieldrahtproportionalkammern verwendet, die aus einer segmentierten Ausleseebene, einer Anodendrahtebene, einer Kathodendrahtebene und einem Gating-Grid (GG) bestehen. Das GG is eine zusätzliche Drahtebene, die durch zwei verschiedene Spannungseinstellungen transparent oder undurchlässig für Elektronen und positive Ionen geschaltet werden kann.
In den ersten Daten von Run 2 bei hohen Interaktionsraten wurden große Verzerrungen der gemessenen Spurpunkte beobachtet, die auf Grund von Verzerrungen des Driftfeldes auftreten und nicht von Daten aus Run 1 bekannt waren. Diese Verzerrungen treten nur sehr lokal an den Grenzen von manchen der inneren Auslesekammern (IROCs) auf. Zudem wurden auch große Verzerrungen in einer (C06) der äußeren Auslesekammern (OROCs) festgestellt, die sich bei einem bestimmten Radius über die ganze Breite der Kammer erstrecken. Die Ergebnisse dieser Arbeit befassen sich mit der Untersuchung jener Verzerrungen und ihrer Ursache, sowie mit der Entwicklung von Strategien um die Verzerrungen zu minimieren.
Messungen der Verzerrungen in den IROCs und Vergleiche mit Simulationen lassen darauf schließen, dass die Verzerrungen von positiver Raumladung hervorgerufen werden, die durch Gasverstärkung an sehr begrenzten Regionen der Auslesekammern entsteht und sich durch das Driftvolumen bewegt. Es werden charakteristische Abhängigkeiten von der Interaktionsrate sowie systematische Veränderungen bei Umkehrung der Orientierung des Magnetfeldes gemessen. Eine erneute Analyse von Run 1 Daten mit den Methoden aus Run 2 zeigt, dass die Verzerrungen bereits in Run 1 auftraten, jedoch durch die Ne-Gasmischung und niedrigere Interaktionsraten um eine Größenordnung kleiner waren. Neue Daten aus Run 2, für die die Gasmischung zeitweise wieder von Ar-CO_2 zu Ne-CO_2- N_2 geändert wurde, bestätigen die Ergebnisse der Run 1 Datenanalyse. Der Ursprung der Raumladung wird systematisch eingegrenzt. Es werden einzelne IROCs identifiziert, an deren Anodendrähten die Raumladung entsteht. Physikalische Modelle ermöglichen es, die Entstehung der Raumladung auf das Volumen zurückzuführen, das sich zwischen zwei IROCs befindet. Damit besteht die Vermutung, dass einzelne Spitzen von Anodendrähten am äußeren Rand dieser IROCs in das Gasvolumen hineinragen und somit hohe elektrische Felder erzeugen, an denen Gasverstärkung stattfindet. Die positiven Ionen können dann ungehindert in das Driftvolumen gelangen. Um diesen Effekt zu unterdrücken, wird das Potential der Cover-Elektroden angepasst, die sich auf den Befestigungsvorrichtungen der Drahtebenen an den Kammerrändern befinden. Dadurch kann die Menge von Ionisationselektronen, die in das Volumen zwischen zwei IROCs hineindriftet und vervielfacht wird, eingeschränkt werden. Über elektro-statische Simulationen und Messungen wird eine Einstellung für das Cover-Elektroden-Potential gefunden, mit der die Verzerrungen auf 30 % reduziert werden können. Die Verzerrungen in OROC C06 entstehen durch positive Ionen, die aus der Verstärkungsregion in das Driftvolumen gelangen, da an dieser bestimmten Stelle zwei aufeinanderfolgende GG-Drähte den Kontakt verloren haben. Die Verzerrungen werden um mehr als einen Faktor 3 reduziert, indem die Hochspannung der Anodendrähte um 50 V und somit der Gasverstärkungsfaktor um einen Faktor 2 verringert wird und indem das Potential der noch funktionierenden GG-Drähte erhöht wird.
Zusammenfassend konnten die lokalen Raumladungsverzerrungen für die letzte Pb−Pb Strahlzeit von Run 2 auf weniger als 1cm bei den höchsten Interaktionsraten verringert werden. Zudem wurde der Anteil des von Raumladungsverzerrungen betroffenen Volumens der TPC signifikant verringert, sodass die ursprüngliche Auflösung der Spurrekonstruktion wieder erreicht werden konnte.
Experiments on Vibrational Energy Transfer (VET) in proteins contribute to our understanding of fundamental biological processes such as allostery, dissipation of excess energy, and possibly enzymatic catalysis. While these processes have been studied for a long time, many questions remain unanswered. The aim of this work was to expand the application of existing spectroscopic techniques to investigate VET, seeking tailored solutions for the diversity of proteins and amino acid environments. Additionally, new target proteins were to be established to broaden the spectrum of VET experiments towards the role of VET and low-frequency protein modes (LFMs).
To test their suitability as VET sensors, the non-canonical amino acids (ncAAs) Azidoalanine (N3Ala), azido-L-Homoalanine (Aha), p-azido-Phenylalanine (N3Phe), p-cyano-Phenylalanine (CNPhe), and 4-cyano-Tryptophan (CNTrp) were coupled to the VET donor β-(1-azulenyl)-L-Alanine (AzAla) in dipeptides. Their spectral properties were compared using FTIR and VET spectra in H2O, dimethyl sulfoxide, and tetrahydrofuran.
The solvent strongly influences the measured VET signals, which can be explained by the direct interaction of the solvent with the dipeptides. Additionally, the peak time within the subgroups of azide and nitrile sensors increased with the size of the side chain, indicating the dependence between peak time and the distance between VET donor and sensor. When incorporated into a protein, solvent interactions are less dominant. Therefore, Aha, N3Phe, and CNPhe were additionally incorporated at two different positions in the PDZ protein domain and investigated. Due to Fermi resonances, signals from azide sensors are challenging to predict, unlike those of the nitrile sensors.
Overall, the experiments showed that nitrile groups can serve well as VET sensors, as their lower extinction coefficient is compensated for by a narrower bandwidth. This expands the number of potential target proteins, and sensor incorporation can be less disruptive at various protein locations.
Since the VET donor AzAla can inject the energy of a photon into a protein as vibrational energy at a specific location, it can also be used for the targeted excitation of LFMs. If these modes are involved in an enzymatic reaction, a direct influence on activity is expected. This hypothesis has long existed but has not been definitively verified. Some studies have found evidence for the involvement of LFMs in formate dehydrogenase (FDH) catalysis. Therefore, FDH was chosen for the investigation of LFMs in enzymes. This specific system additionally allows the use of a natural VET sensor: it forms a stable complex with NAD+ and N3-, an excellent IR marker. Thus, it provided the opportunity to test low-molecular-weight non-covalent ligands as VET sensors.
After ensuring sufficient AzAla supply through the internal establishment of an enzymatic synthesis, AzAla could be incorporated at various positions in FDH. Despite spectral overlap between free and bound N3-, the latter could be identified by its narrower FWHM. For some variants, no binding could be observed. Circular dichroism spectra showed that these variants structurally deviate slightly from other variants and the wild type (WT). VET could be observed over 22 Å from two regions of the protein to the N3- bound in the active center, at protein concentrations of below 2 mM. Unbound N3- did not generate signals, allowing it to be added in excess ensuring the saturation of the protein in VET experiments.
The activity of FDH WT and four AzAla mutants was investigated under substrate saturation without and with AzAla excitation. In these experiments, a slight reduction in activity under illumination was observed, even for the WT, who is not expected to interact with the excitation light. So far, a difference in sample temperature cannot be excluded as the cause for this decline.
The presented experiments with FDH illustrate the potential of low-molecular-weight ligands as VET sensors, with N3- being particularly attractive due to its simple structure (preventing Fermi resonances) and its high extinction coefficient. Its use can add many metalloproteins as potential targets for VET experiments and allows investigation without a VET sensor ncAA. Additionally, initial experiments were conducted to measure light-dependent FDH activity. By specifically exciting protein LFMs, this project could contribute in the future to answering longstanding questions about the extraordinary catalytic efficiency of enzymes.
Binary neutron star mergers represent unique observational phenomena because all four fundamental interactions play an important role at various stages of their evolution by leaving imprints in astronomical observables. This makes their accurate numerical modeling a challenging multiphysics problem that promises to increase our understanding of the high-energy astrophysics at play, thereby providing constraints for the underlying fundamental theories such as the gravitational interaction or the strong interaction of dense matter. For example, the first and so far only multi-messenger observation of the binary neutron star merger GW170817 resulted in numerous bounds on the parameters of isolated non-rotating neutron stars, e.g., their maximum mass or their distribution in radii, which can be directly used to constrain the equation of state of cold nuclear matter. While many of these results stem from the observation of the inspiral gravitational-wave signal, the postmerger phase of binary neutron star mergers encodes even more details about the extreme physics of hot and dense neutron star matter. In this Thesis we focus on the exploration of dissipative and shearing effects in binary neutron star mergers in order to identify novel approaches to constrain hot and dense neutron star matter.
The first effect is the well-motivated dissipation of energy due to the bulk viscosity which arises from violations of weak chemical equilibrium. We start by exploring the impact of bulk viscosity on black-hole accretion. This simplified problem gives us the opportunity to develop a test case for future codes taking into account the effects of dissipation in a fully general-relativistic setup and build intuition in the physics of relativistic dissipation. Next, we move on to isolated neutron stars and binary neutron star mergers by developing a robust implementation of bulk-viscous dissipation for numerical relativity simulations. We test our implementation by calculating the damping of eigenmodes of isolated neutron stars and the violent migration scenario. Finally, we present the first results on the impact of bulk viscosity on binary neutron star mergers. We identify a number of ways how bulk viscosity impacts the postmerger phase, out of which the suppression of gravitational-wave emission and dynamical mass ejection are the most notable ones.
In the last part of this Thesis we investigate how the shearing dynamics at the beginning of the merger affects the amplification of different initial magnetic-field topologies. We explore the hypothesis that magnetic fields which are located only in a small region near the stellar surface prior to merger lead to a weaker magnetic-field amplification. We show first evidence which confirms this hypothesis and discuss possible implications for constraining the physics of superconduction in cold neutron stars.
This work focuses on the investigation of K+, K- and ϕ-meson production in Ag(1.58 A GeV)+Ag collisions. The energetically cheapest channel for direct K+ production in binary NN-collisions NN→NΛK+ lies at exactly this energy. For the remaining K- and ϕ-mesons, an excess energy of 0.31 GeV and 0.34 GeV in the centre of mass system has to be provided by the system. This makes these particles an excellent probe for effects inside the medium.
K+ and K- mesons can be reconstructed directly as they possess a cτ of approximately 3.7 m. Using the approximately 3 billion recorded Ag(1.58 A GeV)+Ag 0-30% most central collision events, all reconstructed K+ and K- within the detector acceptance are investigated for their kinematic properties and their particle production rates compared to a selection of existing models.
The Compressed Baryonic Matter (CBM) is one of the core experiments at the future Facility for Anti-proton and Ion Research (FAIR), Darmstadt, Germany. Its goal is to investigate nuclear matter characteristics at high net-baryon densities and moderate temperatures. The Silicon Tracking System (STS) is a central detector system of CBM.
It is placed inside a 1Tm magnet and operated at a temperature of about −10 °C to keep radiation-induced bulk current in the 300μm double-sided microstrip silicon sensors low. The design of the STS aims to minimize the material budget in the detector acceptance (2.5° < θ < 25°). In order to do so, the readout electronics is placed outside the active area, and the analog signals are transported via ultra-thin micro-cables. The STS comprises eight tracking stations with 876 modules. Each module is assembled on a carbon fiber ladder, which is subsequently mounted in the C-shaped aluminum frame.
The scope of the thesis focused on developing a modular control system framework that can be implemented for different sizes of experimental setups. The developed framework was used for setups that required a remote operation, like the irradiation of the powering modules for the front-end electronics (FEE), but also in laboratory-based setups where the automation and archiving were needed (thermal cycling of the STS electronics).
The low voltage powering modules will be placed in the vicinity of the experiment, therefore they will experience a total dose of up to 40mGy over the 10 years of STS lifetime.
To estimate the effects of the radiation on the low-voltage module performance, a dedicated irradiation campaign took place. It aimed at estimating the rate of radiation induced soft errors, that lead to the switch off of the FEE.
Regular power cycles of multiple front-end boards (FEBs) pose a risk to the experiment operation. Firstly, such behavior could negatively influence the physics performance but also have deteriorating effects on the hardware. It was further assessed what are the limitations of the FEBs with respect to the thermal cycling and the mechanical stress. The results served as an indication of possible failure modes of the FEB at the end of STS lifetime. Failure modes after repeated cycles and potential reasons were determined (e.g., Coefficient of Thermal Expansion (CTE) difference between the materials).
Due to the conditions inside the STS efficient temperature and humidity monitoring and control are required to avoid icing or water condensation on the electronics or silicon sensors. The most important properties of a suitable sensor candidate are resilience to the magnetic field, ionizing radiation tolerance, and fairly small size.
A general strategy for ambient parameters monitoring inside the STS was developed, and potential sensor candidates were chosen. To characterize the chosen relative humidity sensors the developed control framework was introduced. A sampling system with a ceramic sensor and Fiber Optic Sensors (FOS) were identified as reliable solutions for the distributed sensing system. Additionally, the industrial capacitive sensors will be used as a reference during the commissioning.
Two different designs of FOS were tested: a hygrometer and 5 sensors multiplexed in an array. The FOS hygrometer turned out to be a more reliable solution. One of the possible reasons for a worse performance is a relatively low distance between the subsequent sensors (15 cm) and a thicker coating. The results obtained from the time response study pointed out that the thinner coating of about 15μm should be a good compromise between the humidity sensitivity and the time response.
The implementation of the containerized-based control system framework for the mSTS is described in detail. The deployed EPICS-based framework proved to be a reliable solution and ensured the safety of the detector for almost 1.5 years. Moreover, the data related to the performance of the detector modules were analyzed and significant progress in the quality of modules was noted. Obtained data was also used to estimate the total fluence, which was based on the leakage current changes.
The developed framework provided a unique opportunity to automate and control different experimental setups which provided crucial data for the STS. Furthermore, the work underlines the importance of such a system and outlines the next steps toward the realization of a reliable Detector Control System for STS.
In the last twenty years, a variety of unexpected resonances had been observed within the charmonium mass region. Although the existence of unconventional states has been predicted by the quantum chromodynamics (QCD), a quantum field theory describing the strong force, a clear evidence was missing. The Y(4260) is such an unexpected and supernummerary state, first observed at BaBar in 2005, and aroused great interest, because it couples much stronger to hidden charm decays (charm-anticharm states like J/Psi or h_c) instead of open charm decays (D meson pairs). This is unusual for states with masses above the D anti-D threshold. Furthermore, it decays into a charged exotic state Y(4260)->Z_c(3900)^+- pi^-+. The charge of the Z_c(3900)^+- is an indication that it comprises of two more quarks than the charm-anticharm pair, and could therefore be assumed to be a four-quark state. Due to these still not understood properties of these QCD-allowed states, they are referred to as exotic XYZ states to emphasize their particularity.
In 2017, the collaboration of the Beijing Spectrometer III (BESIII) investigated the production reaction of the Y(4260) resonance based on a high-luminosity data set. This significantly improved precision of the measurement of the cross-section sigma(e+e- -> J/Psi pi^+ pi^-) permitted a resolution into two resonances, the Y(4230) and the Y(4360). The Z_c(3900)^+- had been discovered by the BESIII collaboration in 2013, thus this experiment at the Beijing Electron-Positron Collider II (BEPCII) is a top-performing facililty to study exotic charmonium-like states.
In this work, an inclusive reconstruction of the strange hyperon Lambda in the charmonium mass region is performed to study possible decays of Y states in order to provide further insight into their nature. Finding more states or new decay channels may provide crucial hints to understand the strong interaction beyond nonperturbative approaches.
Three resonances are observed in the energy dependent cross-section: the first with a mass of (4222.01 +- 5.68) MeV and a width of (154.26 +- 28.16) MeV, the second with a mass of (4358.88 +- 4.97) MeV and a width of (49.58 +- 13.54) MeV and the third with a mass of (4416.41 +- 2.37) MeV and a width of (23.88 +- 7.18) MeV. These resonances, with a statistical significance Z > 5sigma, can be interpreted as the states Y(4230), Y(4360) and psi(4415).
Additionally, a proton momentum-dependent analysis strategy has been used in terms of the inclusiveness of the reconstruction and to address the momentum discrepancies between generic MC and measured data.
This Ph. D. thesis with the title "Characterisation of laser-driven radiation beams: Gamma-ray dosimetry and Monte Carlo simulations of optimised target geometry for record-breaking efficiency of MeV gamma-sources" is dedicated to the study of the acceleration of electrons by intense sub-picosecond laser pulses propagating in a sub-millimeter plasma with near-critical electron density (NCD) and resulting generation of the gamma bremsstrahlung and positrons in the targets of different materials and thickness.
Laser-driven particle acceleration is an area of increasing scientific interest since the recent development of short pulse, high-intensity laser systems. The interaction of intense high-energy, short-pulse lasers with solid targets leads to the production of high-energy electrons in the relativistic laser intensity regime of more than 1018 W /cm2. These electrons play the leading role in the first stage of the interaction of laser with matter, which leads to the creation of laser sources of particles and radiation. Therefore, the optimisation of the electron beam parameters in the direction of increasing the effective temperature and beam charge, together with a slight divergence, plays a decisive role, especially for further detection and characterisation of laser-driven photon and positron beams.
In the context of this work, experiments were carried out at the PHELIX laser system (Petawatt High-Energy Laser for Heavy Ion eXperiments) at GSI Helmholtz Center for Heavy-Ion Research GmbH in Darmstadt, Germany. This thesis presents a thermoluminescence dosimetry (TLD) based method for the measurement of bremsstrahlung spectra in the energy range from 30 keV to 100 MeV. The results of the TLD measurements reinforced the observed tendency towards the strong increase of the mean electron energy and number of super-ponderomotive electrons. In the case of laser interaction with long-scale NCD-plasmas, the dose caused by the gamma-radiation measured in the direction of the laser pulse propagation showed a 1000-fold increase compared to the high contrast shots onto plane foils and doses measured perpendicular to the laser propagation direction for all used combinations of targets and laser parameters.
In this thesis I present novel characterisation method using a combination of TLD measurements and Monte Carlo FLUKA simulations applicable to laser-driven beams. The thermoluminescence detector-based spectrometry method for simultaneous detection of electrons and photons from relativistic laser-induced plasmas initially developed by Behrens et al. (Behrens et al., 2003) and further applied in experiments at PHELIX laser (Horst et al., 2015) delivered good spectral information from keV energies up to some MeV, but as it was presented in (Horst et al., 2015) this method was not really suitable to resolve the content of photon spectra above 10 MeV because of the dominant presence of electrons. Therefore, I created new evaluation method of the incident electron spectra from the readings of TLDs. For this purpose, by means of MatLab programming language an unfolding algorithm was written. It was based on a sequential enumeration of matching data series of the dose values measured by the dosimeters and calculated with of FLUKA-simulations. The significant advantage of this method is the ability to obtain the spectrum of incident electrons in the low energy range from 1 keV, which is very difficult to measure reliably using traditional electron spectrometers.
The results of the evaluation of the effective temperature of super-ponderomotive electrons retrieved from the measured TLD-doses by means of the Monte-Carlo simulations demonstrated, that application of low density polymer foam layers irradiated by the relativistic sub-ps laser pulse provided a strong increase of the electron effective temperature from 1.5 - 2 MeV in the case of the relativistic laser interaction with a metallic foil up to 13 MeV for the laser shots onto the pre-ionized foam and more than 10 times higher charge carried by relativistic electrons.
The progressive simulation method of whole electron spectra described with two -temperatures Maxwellian distribution function has been developed and the results of dose simulations were compared with the acquired experimental data. The advanced feature of this method, which distinguishes it from the results of the simulation of the photon spectrum using the interaction with the target of mono-energetic electron beams (Nilgün Demir, 2013; Nilgün Demir, 2019) or the initial electron spectrum expressed as a function of one electron temperature (Fiorini, 2012), is the ability to simulate the initial electron spectrum described by the Maxwellian distribution function with two temperatures.
The important objective of this thesis was dedicated to the study and characterisation of laser-driven photon beams. In addition to this, the positron beams were evaluated. The investigation of bremsstrahlung photons and positrons spectra from high Z targets by varying the target thickness from 10 µm to 4 mm in simulated models of the interactions of electron spectra with Maxwellian distribution functions allowed to define an optimal thickness when the fluences of photons and positrons are maximal. Furthermore based on the results of FLUKA simulations the gold material was found to be the most suitable for the future experiments as e − γ target because of its highest bremsstrahlung yield.
Additionally Monte Carlo simulations were performed applying the obtained electron beam parameters from the electron acceleration process in laser-plasma interactions simulated with particle-in-cell (PIC) code for two laser energies of 20 J and 200 J. The corresponding electron spectra were imported into a Monte Carlo code FLUKA to simulate the production process of bremsstrahlung photons and positrons in Au converter. FLUKA simulations showed the record conversion of efficiency in MeV gammas can reach 10%, which reinforces the generation of positrons. The obtained results demonstrate the advantages of long-scale plasmas of near critical density (NCD) to increase the parameters of MeV particles and photon beams generated in relativistic laser-plasma interaction. The efficiency of the laser-driven generation of MeV electrons and photons by application of low-density polymer foams is essentially enhanced.
Artificial intelligence in heavy-ion collisions : bridging the gap between theory and experiments
(2023)
Artificial Intelligence (AI) methods are employed to study heavy-ion collisions at intermediate collision energies, where high baryon density and moderate temperature QCD matter is produced. The experimental measurements of various conventional observables such as collective flow, particle number fluctuations, etc. are usually compared with expensive model calculations to infer the physics governing the evolution of the matter produced in the collisions. Various experimental effects and processing algorithms can greatly affect the sensitivity of these observables. AI methods are used to bridge this gap between theory and experiments of heavy-ion collisions. The problems with conventional methods of analyzing experimental data are illustrated in a comparative study of the Glauber MC model and the UrQMD transport model. It is found that the centrality determination and the estimated fluctuations of the number of participant nucleons suffer from strong model dependencies for Au-Au collisions at 1.23 AGeV. This can bias the results of the experimental analysis if the number of participant nucleons used is not consistent throughout the analysis and in the final model-to-data comparison. The measurable consequences of this model dependence of the number of participant nucleons are also discussed. In this context, PointNet-based AI models are developed to accurately reconstruct the impact parameter or the number of participant nucleons in a collision event from the hits and/or reconstructed track of particles in 10 AGeV Au-Au collisions at the CBM experiment. In the last part of the thesis, different AI methods to study the equation of state (EoS) at high baryon densities are discussed. First, a Bayesian inference is performed to constrain the density dependence of the EoS from the available experimental measurements of elliptical flow and mean transverse kinetic energy of mid rapidity protons in intermediate energy collisions. The UrQMD model was augmented to include arbitrary potentials (or equivalently the EoSs) in the QMD part to provide a consistent treatment of the EoS throughout the evolution of the system. The experimental data constrain the posterior constructed for the EoS for densities up to four times saturation density. However, beyond three times saturation density, the shape of the posterior depends on the choice of observables used. There is a tension in the measurements at a collision energy of about 4 GeV. This could indicate large uncertainties in the measurements, or alternatively the inability of the underlying model to describe the observables with a given input EoS. Tighter constraints and fully conclusive statements on the EoS require accurate, high statistics data in the whole beam energy range of 2-10 GeV, which will hopefully be provided by the beam energy scan programme of STAR-FXT at RHIC, the upcoming CBM experiment at FAIR, and future experiments at HIAF and NICA. Finally, it is shown that the PointNet-based models can also be used to identify the equation of state in the CBM experiment. Despite the uncertainties due to limited detector acceptance and biases in the reconstruction algorithms, the PointNet-based models are able to learn the features that can accurately identify the underlying physics of the collision. The PointNet-based models are an ideal AI tool to study heavy-ion collisions, not only to identify the geometric event features, such as the impact parameter or the number of participant nucleons, but also to extract abstract physical features, such as the EoS, directly from the detector outputs.
A synchrotron is a particular type of cyclic particle accelerator and the first accelerator concept to enable the construction of large-scale facilities [10], such as the largest particle accelerator in the world, the 27-kilometre-circumference Large Hadron Collider (LHC) by CERN near Geneva, Switzerland, the European Synchrotron Radiation Facility (ESRF) in Grenoble, France for the synchrotron radiation, the superconducting, heavy ion synchrotron SIS100 under construction for the FAIR facility at GSI, Darmstadt, Germany and so on. Unlike a cyclotron, which can accelerate particles starting at low kinetic energy, a synchrotron needs a pre-acceleration facility to accelerate particles to an appropriate initial value before synchrotron injection. A pre-acceleration can be realized by a chain of other accelerator structures like a linac, a microtron in case of electrons, for example, Proton and ion injectors Linac 4 and Linac 3 for the LHC, UNLAC as the injector for the SIS18 in GSI and in future the SIS18 as injector for the SIS100. The linac is a commonly used injector for the ion synchrotron and consists of some key components. The three main parts of a linac are: An ion source creating the particles, a buncher system or an RFQ followed by the main drift tube accelerator DTL. In order to meet the energy and the beam current requirement of a synchrotron injector linac, its cost is a remarkable percentage of the total facility costs.
However, the normal conducting linac operation at cryogenic temperatures can be a promising solution in improving the efficiency and reducing the costs of a linac. Synchrotron injectors operate at very low duty factor with beam pulse lengths in 1 micros to 100 micros range, as most of the time is needed to perform the synchrotron cycle. Superconducting linacs are not convenient, as they cannot efficiently operate at low duty factor and high beam currents.
The cryogenic operation of ion linacs is discussed and investigated at IAP in Frankfurt since around 2012 [1, 37]. The motivation was to develop very compact synchrotron injectors at reduced overall linac costs per MV of acceleration voltage. As the needed beam currents for new facilities are increasing as well, the new technology will also allow an efficient realization of higher injector linac energies, which is needed in that case. Operating normal conducting structures at cryogenic temperature exploits the significantly higher conductivity of copper at temperatures of liquid nitrogen and below. On the other hand, the anomalous skin effect reduces the gain in shunt impedance quite a bit[25, 31, 9]. Some intense studies and experiments were performed recently, which are encouraging with respect to increased field levels at linac operation temperatures between 30 K and 70 K [17, 24, 4, 23, 5, 8]. While these studies are motivated by applications in electron acceleration at GHz-frequencies, the aim of this paper is to find applications in the 100 to 700 MHz range, typical for proton and ion acceleration. At these frequencies, a higher impact in saving RF power is expected due to the larger skin depth, which is proportional to the frequency to the power of negative half with respect to the normal skin effect. On the other hand, it is assumed that the improvement in maximum surface field levels will be similar to what was demonstrated already for electron accelerator cavities. This should allow to find a good compromise between reduced RF power needs for achieving a given accelerator voltage and a reduced total linac length to save building costs.
A very important point is the temperature stability of the cavity surface during the RF pulse. This is of increasing importance the lower the operating temperature is chosen: the temperature dependence of the electric conductivity in copper gets rather strong below 80 K, as long as the RRR - value of the copper is adequate. It is very clear, that this technology is suited for low duty cycle operated cavities only - with RF pulse lengths below one millisecond. At longer pulses the cavity surface will be heated within the pulse to temperatures, where the conductivity advantage is reduced substantially. These conditions fit very well to synchrotron injectors or to pulsed beam power applications.
H – Mode structures of the IH – and of the CH – type are well-known to have rather small cavity diameters at a given operating frequency. Moreover, they can achieve effective acceleration voltage gains above 10 MV/m even at low beam energies, and already at room temperature operation[29]. With the new techniques of 3d – printing of stainless steel and copper components one can reduce cavity sizes even further – making the realization of complex cooling channels much easier.
Another topic are copper components in superconducting cavities – like power couplers. It is of great importance to know exactly the thermal losses at these surfaces, which can’t be cooled efficiently in an easy way.
Im Rahmen dieser Arbeit wurde ein verbessertes Buncher-System für Hochfrequenzbeschleuniger mit niedrigem und mittlerem Ionenstrom entwickelt. Die entwickelte Methodik hat ermöglicht, ein effektives, vereinfachtes Buncher-System für die Injektion in HF-Beschleuniger wie RFQs, Zyklotrons, DTLs usw. zu entwerfen, welches kleine Ausgangsemittanzen und beträchtliche Strahltransmissionen erzielt. Um einen mono-energetischen und kontinuierlichen Strahl aus einer Ionenquelle für den Einschuss in eine Hochfrequenz-Beschleunigerstruktur anzupassen, wird eine Energiemodulation benötigt, die im weiteren Verlauf (Driftstrecke) zur Längsfokussierung des Strahls führt. Durch eine Sägezahnwellenform wird die ideale Energiemodulation aufgrund der linearen Abhängigkeit zwischen der Energie der Teilchen und ihren relativen Phasen erreicht. Dies ist jedoch technologisch nicht möglich, da Teilchenbeschleuniger Spannungsniveaus im Bereich kV bis 100 kV benötigen. Dagegen ist für eine solche Zielsetzung eine räumliche Trennung der sinusförmigen Anregung mit der Grundfrequenz und höheren Harmonischen möglich.
Daher wurde in dieser Arbeit ein verbesserter harmonischer Buncher, der sogenannte „Double Drift Harmonic Buncher - DDHB“ entwickelt, welcher zahlreiche Vorteile hat. Eine geringe longitudinale Emittanz sowie finanzielle Aspekte sprechen für diesen Lösungsansatz. Die Hauptelemente eines DDHB Systems sind zwei Kavitäten, die durch eine Driftlänge L1 getrennt sind, wobei der erste Resonator mit der Grundfrequenz bei -90° synchroner Phase und angelegter Spannung V1 und der zweite Resonator bei der zweiten harmonischen Frequenz mit +90 synchroner Phase und angelegter Spannung V2 betrieben werden. Schließlich ist eine zweite Drift L2 am Ende des Arrays für eine longitudinale Strahlfokussierung am Hauptbeschleunigereingang erforderlich. Somit erfüllt ein solcher Aufbau das angestrebte Ziel einer hohen Einfangseffizienz und einer kleinen longitudinalen Emittanz durch Anpassen der vier Designparameter V1, L1, V2 und L2.
Das Verständnis der Fokussierung, ausgehend von einem Gleichstromstrahl, einschließlich der Raumladungskräfte, ist einer der wesentlichen Bestandteile der Strahlphysik. Viele kommerzielle Codes bieten Simulationsmöglichkeiten in diesem Anwendungsbereich. Ihre Ansätze bleiben jedoch dem Anwender meist verborgen, oder es fehlen wichtige Details zur genauen Abbildung des vorliegenden Konzepts. Daher bestand eine Hauptaufgabe dieser Arbeit darin, einen speziellen Multi-Particle-Tracking-Beam-Dynamics-Code (BCDC) zu entwickeln, bei dem der Raumladungseffekt während des Bunch-Vorgangs, ausgehend von einem DC-Strahl berechnet wird. Der BCDC - Code enthält elementare Routinen wie Drift und Beschleunigungsspalt oder magnetische Linse für die transversale Strahlfokussierung und Raumladungsberechnungen unter Berücksichtigung der Auswirkungen der nächsten Nachbar-Bunche (NNB). Der Raumladungsalgorithmus in BCDC basiert auf einer direkten Coulomb- Gitter-Gitter-Wechselwirkung und Berechnungen des elektrischen Feldes durch Lokalisierung der Ladungsdichte auf einem kartesischen Gitter. Um Genauigkeit zu erreichen, werden die Feldberechnungen in Längsrichtung symmetrisch um das zentrale Bucket (βλ-Größe) erweitert, so dass das Simulationsfeld dreimal so groß ist. Die zentrale Teilchenverteilung wird dann nach jedem Schritt in die benachbarten Buckets kopiert. Anschließend werden die resultierenden Felder im Hauptgitterfeld neu berechnet, indem die elektrischen Felder im Hauptgitterfeld mit denen aus den benachbarten Regionen überlagert werden. Ohne diese Methode würde z. B. ein kontinuierlicher Strahl, welcher jedoch in der Simulation nur innerhalb einer Zelle der Länge βλ definiert ist, zu einer resultierenden Raumladungsfeldkomponente Ez an beiden Rändern der Zelle führen. Ein solches unphysikalisches Ergebnis konnte durch die Anwendung der NNB-Technik bereits weitgehend eliminiert werden. Zusätzlich zum NNB-Feature verfügt das BCDC über eine weitere Besonderheit nämlich die sogenannte Raumladungskompensation (SCC). Aufgrund der Ionisierung des Restgases kommt es entlang des Niederenergiestrahltransports zu einer teilweisen Raumladungskompensation, und zwar am und hinter dem Bunchersystem mit unterschiedlichen Prozentsätzen. Eines der Hauptziele des DDHB-Konzepts besteht darin, es für Hochstromstrahlanwendungen zu entwickeln. Dabei ermöglicht die teilweise Raumladungskompensation, dass das Design in der Praxis höhere Stromniveaus erreicht. Dadurch ist das BCDC-Programm ein leistungsstarkes Werkzeug für Simulationen in künftigen, stromstarken Projekten. Proof-of-Principle-Designs wurden in dieser Arbeit entwickelt.