Entwicklung eines schnellen, piezobasierten Frequenztuners für supraleitende CH-Kavitäten

Im Rahmen der vorliegenden Arbeit wurde ein schnelles, piezobasiertes Frequenztuningsystem für aktuelle sowie zukünftige supraleitende (sl) CH-Kavitäten entwickelt. Die Grundlage des hierbei verwendeten Tuningkonzepts unterscheidet sich von bisherigen, konventionellen Tuningmethoden supraleitender Kavitäten grundlegend. Zum Ausgleichen von unerwünschten Frequenzverstimmungen während des Beschleunigerbetriebes werden sogenannte bewegliche Balgtuner in das Innere der Resonatorgeometrie geschweißt. Aufgrund ihrer variablen Länge können diese die Kapazität der Kavität und somit die Resonanzfrequenz gezielt beeinflussen. Die Antriebsmechanik, die für die Auslenkung bzw. Stauchung der Balgtuner sorgt, besteht aus einer langsamen, schrittmotorbetriebenen und einer schnellen, piezobasierten Tuningeinheit, welche auf der Außenseite des Heliummantels der jeweiligen CH-Kavität installiert wird. Zur Überprüfung dieses neuartigen Tuningkonzepts wurde in der Werkstatt des Instituts für Angewandte Physik (IAP) der Goethe Universität Frankfurt ein Prototyp der gesamten Tuningeinheit aus Edelstahl gefertigt. Die Funktionsweise der langsamen sowie schnellen Tuningeinheit konnten hierbei in ersten Messungen bei Raumtemperatur erfolgreich getestet werden. Somit stellt die in dieser Arbeit entwickelte Tuningeinheit eine vielversprechende Möglichkeit des dynamischen Frequenztunings supraleitender CH-Strukturen dar. rnDes Weiteren wurden im Rahmen der Arbeit mit Hilfe der Simulationsprogramme ANSYS Workbench sowie CST MicroWave Studio gekoppelte strukturmechanische und elektromagnetische Simulationen der sl 217 MHz CH sowie der sl 325 MHz CH-Kavität durchgeführt. Hierbei konnte zum einen der Frequenzbereich und somit der notwendige mechanische Hub der jeweiligen Tuningeinheit durch Bestimmung der Frequenzverstimmungen signifikant reduziert werden. Zum anderen war es möglich, die mechanische Stabilität der beiden Kavitäten zu untersuchen und somit plastische Deformationen von vornherein auszuschließen. Zur Überprüfung der Genauigkeit sämtlicher getätigter Simulationsrechnungen wurde das strukturmechanische Verhalten in Abhängigkeit äußerer Einflüsse und die daraus resultierenden Frequenzverstimmungen der CH-Kavitäten sowohl bei Raumtemperatur als auch bei kryogenen Temperaturen von 4.2 K gemessen. Hierbei zeigten sich zum Teil hervorragende Übereinstimmungen zwischen den simulierten und gemessenen Werten mit Diskrepanzen von unter 10%. Mit Hilfe dieser Ergebnisse konnte gezeigt werden, dass die gekoppelte Simulation ein essentielles Werkzeug während der Entwicklungsphase einer supraleitenden Beschleunigungsstruktur darstellt, so dass die für den Betrieb erforderliche mechanische Stabilität einer supraleitenden Kavität erreicht werden kann. rn

Novel simulation methods for Coulomb and hydrodynamic interactions

This thesis presents new methods to simulate systems with hydrodynamic and electrostatic interactions. Part 1 is devoted to computer simulations of Brownian particles with hydrodynamic interactions. The main influence of the solvent on the dynamics of Brownian particles is that it mediates hydrodynamic interactions. In the method, this is simulated by numerical solution of the Navier--Stokes equation on a lattice. To this end, the Lattice--Boltzmann method is used, namely its D3Q19 version. This model is capable to simulate compressible flow. It gives us the advantage to treat dense systems, in particular away from thermal equilibrium. The Lattice--Boltzmann equation is coupled to the particles via a friction force. In addition to this force, acting on {it point} particles, we construct another coupling force, which comes from the pressure tensor. The coupling is purely local, i.~e. the algorithm scales linearly with the total number of particles. In order to be able to map the physical properties of the Lattice--Boltzmann fluid onto a Molecular Dynamics (MD) fluid, the case of an almost incompressible flow is considered. The Fluctuation--Dissipation theorem for the hybrid coupling is analyzed, and a geometric interpretation of the friction coefficient in terms of a Stokes radius is given. Part 2 is devoted to the simulation of charged particles. We present a novel method for obtaining Coulomb interactions as the potential of mean force between charges which are dynamically coupled to a local electromagnetic field. This algorithm scales linearly, too. We focus on the Molecular Dynamics version of the method and show that it is intimately related to the Car--Parrinello approach, while being equivalent to solving Maxwell's equations with freely adjustable speed of light. The Lagrangian formulation of the coupled particles--fields system is derived. The quasi--Hamiltonian dynamics of the system is studied in great detail. For implementation on the computer, the equations of motion are discretized with respect to both space and time. The discretization of the electromagnetic fields on a lattice, as well as the interpolation of the particle charges on the lattice is given. The algorithm is as local as possible: Only nearest neighbors sites of the lattice are interacting with a charged particle. Unphysical self--energies arise as a result of the lattice interpolation of charges, and are corrected by a subtraction scheme based on the exact lattice Green's function. The method allows easy parallelization using standard domain decomposition. Some benchmarking results of the algorithm are presented and discussed.

Feasibility studies of the pp pi 0 e + e - electromagnetic channel at PANDA

Among all possible realizations of quark and antiquark assembly, the nucleon (the proton and the neutron) is the most stable of all hadrons and consequently has been the subject of intensive studies. Mass, shape, radius and more complex representations of its internal structure are measured since several decades using different probes. The proton (spin 1/2) is described by the electric GE and magnetic GM form factors which characterise its internal structure. The simplest way to measure the proton form factors consists in measuring the angular distribution of the electron-proton elastic scattering accessing the so-called Space-Like region where q2 < 0. Using the crossed channel antiproton proton <--> e+e-, one accesses another kinematical region, the so-called Time-Like region where q2 > 0. However, due to the antiproton proton <--> e+e- threshold q2th, only the kinematical domain q2 > q2th > 0 is available. To access the unphysical region, one may use the antiproton proton --> pi0 e+ e- reaction where the pi0 takes away a part of the system energy allowing q2 to be varied between q2th and almost 0. This thesis aims to show the feasibility of such measurements with the PANDA detector which will be installed on the new high intensity antiproton ring at the FAIR facility at Darmstadt. To describe the antiproton proton --> pi0 e+ e- reaction, a Lagrangian based approach is developed. The 5-fold differential cross section is determined and related to linear combinations of hadronic tensors. Under the assumption of one nucleon exchange, the hadronic tensors are expressed in terms of the 2 complex proton electromagnetic form factors. An extraction method which provides an access to the proton electromagnetic form factor ratio R = |GE|/|GM| and for the first time in an unpolarized experiment to the cosine of the phase difference is developed. Such measurements have never been performed in the unphysical region up to now. Extended simulations were performed to show how the ratio R and the cosine can be extracted from the positron angular distribution. Furthermore, a model is developed for the antiproton proton --> pi0 pi+ pi- background reaction considered as the most dangerous one. The background to signal cross section ratio was estimated under different cut combinations of the particle identification information from the different detectors and of the kinematic fits. The background contribution can be reduced to the percent level or even less. The corresponding signal efficiency ranges from a few % to 30%. The precision on the determination of the ratio R and of the cosine is determined using the expected counting rates via Monte Carlo method. A part of this thesis is also dedicated to more technical work with the study of the prototype of the electromagnetic calorimeter and the determination of its resolution.