Strahlungskorrekturen zu Polarisationsobservablen schwerer Quarks

Das Thema der Dissertation ist die analytische Berechnung von QCD-Strahlungskorrekturen erster Ordnung zurPolarisation schwerer und leichter Quarks in der $e^+ e^-$-Vernichtung,und der Polarisation von Gluonen, die bei der Produktion von leichten oderschweren Quarkpaaren in der $e^+ e^-$-Vernichtung abgestrahlt werden. Der erste Teil der Arbeit (Kapitel 1 und 2) befaßt sich mitder vollständigen Analyse der Gluonpolarisation für den Prozeß $e^+ e^- to q bar q G$ und $ Q bar Q G$. Es werdenBerechnungen derQCD-Bremsstrahlungskorrekturen zur ersten Ordnung in$alpha_s$ zur Gluonpolarisation im Prozeß $e^+ e^- to q bar q G$ und$ Q bar Q G$ durchgeführt. Ferner werden die lineare und die zirkulareGluonpolarisation in der Hadronebene und Leptonebene untersucht. Anschließend werden die Polarwinkelabhängigkeit und dieStrahlpolarisationsabhängigkeit der Gluonpolarisation analysiert. Im zweiten Teil der Arbeit (Kapitel 3 und 4) finden sich die Berechnungen der QCD-Strahlungskorrekturen erster Ordnungfür massive Quarkszur Longitudinal-Longitudinal Spin-Korrelation für dieProzeße $e^+ e^- to q bar q$ und $Q bar Q$. In Kapitel 3 wirdeine Mittelung überdie Polarwinkel durchgeführt, während in Kapitel 4 die Polarwinkel-Abhängigkeit explizit untersucht wird. ImKapitel 3 und 4 wird der Effekt der $O(alpha_s)$-Korrektur zur spin-flip-Konfiguration der verschiedenen Komponenten derHadrontensoren diskutiert. Der vorgelegten Arbeit kommt im Rahmen der für die Zukunftgeplanten Hochpräzisionsexperimente eine besondere Bedeutung zu, dasie Vorhersagen für Spinobservablen liefert, die in Experimentenan den geplanten $e^+ e^-$-Linearbeschleunigern gemessen werden können.

Lineare und nichtlineare dielektrische Spektroskopie am Relaxor-Ferroelektrikum Bleimagnesiumniobat

Relaxor-Ferroelektrika sind wegen ihrer möglichen technischen Anwendungen und vom Standpunkt der Grundlagenforschung als Beispiel für ungeordnete Systeme von wissenschaftlichem Interesse. Trotz zahlreicher experimenteller Untersuchungen sind die mikroskopischen Ursachen ihrer Eigenschaften aber nach wie vor ungeklärt. Im Rahmen dieser Arbeit wurde das Relaxor-Ferroelektrikum Bleimagnesiumniobat-Bleititanat (PMN-10PT) mittels linearer und nichtlinearer dielektrischer Spektroskopie untersucht. Durch Anregung mit starken elektrischen Wechselfeldern konnten mit der Methode des nichtresonanten dielektrischen Lochbrennens frequenzselektiv einzelne spektrale Bereiche aus dem verbreiterten Relaxationsspektrum herausgegriffen und deren Rückrelaxation separat verfolgt werden. Die experimentellen Ergebnisse zeigten, daß eine langlebige dynamische Heterogenität der dipolaren Reorientierung existiert. Durch ihr ausgeprägt nichtergodisches Verhalten zeigen Relaxor-Ferroelektrika starke Alterungseffekte. Die Untersuchung des Alterungsverhaltens der dielektrischen Suszeptibilität zeigte, daß ein Gedächtnis für die bei einer Alterungstemperatur eingenommene Konfiguration bestehen bleibt, sofern die Temperatur nach einer unvollständigen isothermen Alterung nur um einige Grad abgesenkt oder erhöht wurde.Außerdem wurde die induzierte Polarisation bei stochastischen dielektrischen Anregungen mit elektrischen Feldern, die in sehr guter Näherung ein weißes Rauschen darstellten, untersucht. Über die Bildung der Kreuzkorrelationsfunktion zwischen Feld und Polarisation konnte die Impulsantwortfunktion des Systems berechnet werden.Die experimentellen Ergebnisse am Relaxor-Ferroelektrikum PMN-10PT können sehr gut mit einem Modell eines ungeordneten Ferroelektrikums erklärt werden, dessen Domänenwände unordnungsbedingt an sogenannten Pinning-Zentren festhaften.

Thermal relaxation for particle systems in interaction with several bosonic heat reservoirs

The present thesis is concerned with the study of a quantum physical system composed of a small particle system (such as a spin chain) and several quantized massless boson fields (as photon gasses or phonon fields) at positive temperature. The setup serves as a simplified model for matter in interaction with thermal "radiation" from different sources. Hereby, questions concerning the dynamical and thermodynamic properties of particle-boson configurations far from thermal equilibrium are in the center of interest. We study a specific situation where the particle system is brought in contact with the boson systems (occasionally referred to as heat reservoirs) where the reservoirs are prepared close to thermal equilibrium states, each at a different temperature. We analyze the interacting time evolution of such an initial configuration and we show thermal relaxation of the system into a stationary state, i.e., we prove the existence of a time invariant state which is the unique limit state of the considered initial configurations evolving in time. As long as the reservoirs have been prepared at different temperatures, this stationary state features thermodynamic characteristics as stationary energy fluxes and a positive entropy production rate which distinguishes it from being a thermal equilibrium at any temperature. Therefore, we refer to it as non-equilibrium stationary state or simply NESS. The physical setup is phrased mathematically in the language of C*-algebras. The thesis gives an extended review of the application of operator algebraic theories to quantum statistical mechanics and introduces in detail the mathematical objects to describe matter in interaction with radiation. The C*-theory is adapted to the concrete setup. The algebraic description of the system is lifted into a Hilbert space framework. The appropriate Hilbert space representation is given by a bosonic Fock space over a suitable L2-space. The first part of the present work is concluded by the derivation of a spectral theory which connects the dynamical and thermodynamic features with spectral properties of a suitable generator, say K, of the time evolution in this Hilbert space setting. That way, the question about thermal relaxation becomes a spectral problem. The operator K is of Pauli-Fierz type. The spectral analysis of the generator K follows. This task is the core part of the work and it employs various kinds of functional analytic techniques. The operator K results from a perturbation of an operator L0 which describes the non-interacting particle-boson system. All spectral considerations are done in a perturbative regime, i.e., we assume that the strength of the coupling is sufficiently small. The extraction of dynamical features of the system from properties of K requires, in particular, the knowledge about the spectrum of K in the nearest vicinity of eigenvalues of the unperturbed operator L0. Since convergent Neumann series expansions only qualify to study the perturbed spectrum in the neighborhood of the unperturbed one on a scale of order of the coupling strength we need to apply a more refined tool, the Feshbach map. This technique allows the analysis of the spectrum on a smaller scale by transferring the analysis to a spectral subspace. The need of spectral information on arbitrary scales requires an iteration of the Feshbach map. This procedure leads to an operator-theoretic renormalization group. The reader is introduced to the Feshbach technique and the renormalization procedure based on it is discussed in full detail. Further, it is explained how the spectral information is extracted from the renormalization group flow. The present dissertation is an extension of two kinds of a recent research contribution by Jakšić and Pillet to a similar physical setup. Firstly, we consider the more delicate situation of bosonic heat reservoirs instead of fermionic ones, and secondly, the system can be studied uniformly for small reservoir temperatures. The adaption of the Feshbach map-based renormalization procedure by Bach, Chen, Fröhlich, and Sigal to concrete spectral problems in quantum statistical mechanics is a further novelty of this work.

Interactive simulation of flexible parts

Computer simulations play an ever growing role for the development of automotive products. Assembly simulation, as well as many other processes, are used systematically even before the first physical prototype of a vehicle is built in order to check whether particular components can be assembled easily or whether another part is in the way. Usually, this kind of simulation is limited to rigid bodies. However, a vehicle contains a multitude of flexible parts of various types: cables, hoses, carpets, seat surfaces, insulations, weatherstrips... Since most of the problems using these simulations concern one-dimensional components and since an intuitive tool for cable routing is still needed, we have chosen to concentrate on this category, which includes cables, hoses and wiring harnesses. In this thesis, we present a system for simulating one dimensional flexible parts such as cables or hoses. The modeling of bending and torsion follows the Cosserat model. For this purpose we use a generalized spring-mass system and describe its configuration by a carefully chosen set of coordinates. Gravity and contact forces as well as the forces responsible for length conservation are expressed in Cartesian coordinates. But bending and torsion effects can be dealt with more effectively by using quaternions to represent the orientation of the segments joining two neighboring mass points. This augmented system allows an easy formulation of all interactions with the best appropriate coordinate type and yields a strongly banded Hessian matrix. An energy minimizing process accounts for a solution exempt from the oscillations that are typical of spring-mass systems. The use of integral forces, similar to an integral controller, allows to enforce exactly the constraints. The whole system is numerically stable and can be solved at interactive frame rates. It is integrated in the DaimlerChrysler in-house Virtual Reality Software veo for use in applications such as cable routing and assembly simulation and has been well received by users. Parts of this work have been published at the ACM Solid and Physical Modeling Conference 2006 and have been selected for the special issue of the Computer-Aided-Design Journal to the conference.

Optical resonances of sphere-on-plane geometries

The optical resonances of metallic nanoparticles placed at nanometer distances from a metal plane were investigated. At certain wavelengths, these “sphere-on-plane” systems become resonant with the incident electromagnetic field and huge enhancements of the field are predicted localized in the small gaps created between the nanoparticle and the plane. An experimental architecture to fabricate sphere-on-plane systems was successfully achieved in which in addition to the commonly used alkanethiols, polyphenylene dendrimers were used as molecular spacers to separate the metallic nanoparticles from the metal planes. They allow for a defined nanoparticle-plane separation and some often are functionalized with a chromophore core which is therefore positioned exactly in the gap. The metal planes used in the system architecture consisted of evaporated thin films of gold or silver. Evaporated gold or silver films have a smooth interface with their substrate and a rougher top surface. To investigate the influence of surface roughness on the optical response of such a film, two gold films were prepared with a smooth and a rough side which were as similar as possible. Surface plasmons were excited in Kretschmann configuration both on the rough and on the smooth side. Their reflectivity could be well modeled by a single gold film for each individual measurement. The film has to be modeled as two layers with significantly different optical constants. The smooth side, although polycrystalline, had an optical response that was very similar to a monocrystalline surface while for the rough side the standard response of evaporated gold is retrieved. For investigations on thin non-absorbing dielectric films though, this heterogeneity introduces only a negligible error. To determine the resonant wavelength of the sphere-on-plane systems a strategy was developed which is based on multi-wavelength surface plasmon spectroscopy experiments in Kretschmann-configuration. The resonant behavior of the system lead to characteristic changes in the surface plasmon dispersion. A quantitative analysis was performed by calculating the polarisability per unit area /A treating the sphere-on-plane systems as an effective layer. This approach completely avoids the ambiguity in the determination of thickness and optical response of thin films in surface plasmon spectroscopy. Equal area densities of polarisable units yielded identical response irrespective of the thickness of the layer they are distributed in. The parameter range where the evaluation of surface plasmon data in terms of /A is applicable was determined for a typical experimental situation. It was shown that this analysis yields reasonable quantitative agreement with a simple theoretical model of the sphere-on-plane resonators and reproduces the results from standard extinction experiments having a higher information content and significantly increased signal-to-noise ratio. With the objective to acquire a better quantitative understanding of the dependence of the resonance wavelength on the geometry of the sphere-on-plane systems, different systems were fabricated in which the gold nanoparticle size, type of spacer and ambient medium were varied and the resonance wavelength of the system was determined. The gold nanoparticle radius was varied in the range from 10 nm to 80 nm. It could be shown that the polyphenylene dendrimers can be used as molecular spacers to fabricate systems which support gap resonances. The resonance wavelength of the systems could be tuned in the optical region between 550 nm and 800 nm. Based on a simple analytical model, a quantitative analysis was developed to relate the systems’ geometry with the resonant wavelength and surprisingly good agreement of this simple model with the experiment without any adjustable parameters was found. The key feature ascribed to sphere-on-plane systems is a very large electromagnetic field localized in volumes in the nanometer range. Experiments towards a quantitative understanding of the field enhancements taking place in the gap of the sphere-on-plane systems were done by monitoring the increase in fluorescence of a metal-supported monolayer of a dye-loaded dendrimer upon decoration of the surface with nanoparticles. The metal used (gold and silver), the colloid mean size and the surface roughness were varied. Large silver crystallites on evaporated silver surfaces lead to the most pronounced fluorescence enhancements in the order of 104. They constitute a very promising sample architecture for the study of field enhancements.

Thermal Casimir effect at fluid interfaces: Fluctuation-induced forces between anisotropic colloids

We study the effective interaction between two ellipsoidal particles at the interface of two fluid phases which are mediated by thermal fluctuations of the interface. Within a coarse-grained picture, the properties of fluid interfaces are very well described by an effective capillary wave Hamiltonian which governs both the equilibrium interface configuration and the thermal fluctuations (capillary waves) around this equilibrium (or mean-field) position. As postulated by the Goldstone theorem the capillary waves are long-range correlated. The interface breaks the continuous translational symmetry of the system, and in the limit of vanishing external fields - like gravity - it has to be accompanied by easily excitable long wavelength (Goldstone) modes – precisely the capillary waves. In this system the restriction of the long-ranged interface fluctuations by particles gives rise to fluctuation-induced forces which are equivalent to interactions of Casimir type and which are anisotropic in the interface plane. Since the position and the orientation of the colloids with respect to the interface normal may also fluctuate, this system is an example for the Casimir effect with fluctuating boundary conditions. In the approach taken here, the Casimir interaction is rewritten as the interaction between fluctuating multipole moments of an auxiliary charge density-like field defined on the area enclosed by the contact lines. These fluctuations are coupled to fluctuations of multipole moments of the contact line position (due to the possible position and orientational fluctuations of the colloids). We obtain explicit expressions for the behavior of the Casimir interaction at large distances for arbitrary ellipsoid aspect ratios. If colloid fluctuations are suppressed, the Casimir interaction at large distances is isotropic, attractive and long ranged (double-logarithmic in the distance). If, however, colloid fluctuations are included, the Casimir interaction at large distances changes to a power law in the inverse distance and becomes anisotropic. The leading power is 4 if only vertical fluctuations of the colloid center are allowed, and it becomes 8 if also orientational fluctuations are included.

A new double laser pulse pumping scheme for transient collisionally excited plasma soft X-ray lasers

Within this thesis a new double laser pulse pumping scheme for plasma-based, transient collisionally excited soft x-ray lasers (SXRL) was developed, characterized and utilized for applications. SXRL operations from ~50 up to ~200 electron volt were demonstrated applying this concept. As a central technical tool, a special Mach-Zehnder interferometer in the chirped pulse amplification (CPA) laser front-end was developed for the generation of fully controllable double-pulses to optimally pump SXRLs.rnThis Mach-Zehnder device is fully controllable and enables the creation of two CPA pulses of different pulse duration and variable energy balance with an adjustable time delay. Besides the SXRL pumping, the double-pulse configuration was applied to determine the B-integral in the CPA laser system by amplifying short pulse replica in the system, followed by an analysis in the time domain. The measurement of B-integral values in the 0.1 to 1.5 radian range, only limited by the reachable laser parameters, proved to be a promising tool to characterize nonlinear effects in the CPA laser systems.rnContributing to the issue of SXRL pumping, the double-pulse was configured to optimally produce the gain medium of the SXRL amplification. The focusing geometry of the two collinear pulses under the same grazing incidence angle on the target, significantly improved the generation of the active plasma medium. On one hand the effect was induced by the intrinsically guaranteed exact overlap of the two pulses on the target, and on the other hand by the grazing incidence pre-pulse plasma generation, which allows for a SXRL operation at higher electron densities, enabling higher gain in longer wavelength SXRLs and higher efficiency at shorter wavelength SXRLs. The observation of gain enhancement was confirmed by plasma hydrodynamic simulations.rnThe first introduction of double short-pulse single-beam grazing incidence pumping for SXRL pumping below 20 nanometer at the laser facility PHELIX in Darmstadt (Germany), resulted in a reliable operation of a nickel-like palladium SXRL at 14.7 nanometer with a pump energy threshold strongly reduced to less than 500 millijoule. With the adaptation of the concept, namely double-pulse single-beam grazing incidence pumping (DGRIP) and the transfer of this technology to the laser facility LASERIX in Palaiseau (France), improved efficiency and stability of table-top high-repetition soft x-ray lasers in the wavelength region below 20 nanometer was demonstrated. With a total pump laser energy below 1 joule the target, 2 mircojoule of nickel-like molybdenum soft x-ray laser emission at 18.9 nanometer was obtained at 10 hertz repetition rate, proving the attractiveness for high average power operation. An easy and rapid alignment procedure fulfilled the requirements for a sophisticated installation, and the highly stable output satisfied the need for a reliable strong SXRL source. The qualities of the DGRIP scheme were confirmed in an irradiation operation on user samples with over 50.000 shots corresponding to a deposited energy of ~ 50 millijoule.rnThe generation of double-pulses with high energies up to ~120 joule enabled the transfer to shorter wavelength SXRL operation at the laser facility PHELIX. The application of DGRIP proved to be a simple and efficient method for the generation of soft x-ray lasers below 10 nanometer. Nickel-like samarium soft x-ray lasing at 7.3 nanometer was achieved at a low total pump energy threshold of 36 joule, which confirmed the suitability of the applied pumping scheme. A reliable and stable SXRL operation was demonstrated, due to the single-beam pumping geometry despite the large optical apertures. The soft x-ray lasing of nickel-like samarium was an important milestone for the feasibility of applying the pumping scheme also for higher pumping pulse energies, which are necessary to obtain soft x-ray laser wavelengths in the water window. The reduction of the total pump energy below 40 joule for 7.3 nanometer short wavelength lasing now fulfilled the requirement for the installation at the high-repetition rate operation laser facility LASERIX.rn

Studium hochkomplexer atomarer Spektren mittels Methoden der Laserresonanzionisation

In dieser Arbeit wurden umfangreiche laserspektroskopische Studien mit dem Zielrneines verbesserten Verständnisses höchst komplexer Spektren der Lanthanide und Aktinide durchgeführt. Einen Schwerpunkt bildete die Bestimmung bisher nicht oder mit unbefriedigender Genauigkeit bekannter erster Ionisationspotentiale für diese Elemente.rnHierzu wurden drei unterschiedliche experimentelle Methoden eingesetzt. Die Bestimmung des Ionisationspotentiales aus Rydbergserien wurde an den Beispielen Eisen, Mangan und Kobalt mit gemessenen Werten von IPFe = 63737, 6 ± 0, 2stat ± 0, 1syst cm−1, IPMn = 59959, 6 ± 0, 4 cm−1 beziehungsweise IPCo = 63564, 77 ± 0, 12 cm−1 zunächst erfolgreich erprobt. Die bestehenden Literaturwerte konnten in diesen Fällen bestätigt werden und bei Eisen und Kobalt die Genauigkeit etwa um einen Faktor drei bzw. acht verbessert werden. Im Falle der Lanthaniden und Aktiniden jedoch ist die Komplexität der Spektren derart hoch, dass Rydbergserien in einer Vielzahl weiterer Zustände beliebiger Konfiguration nicht oder kaum identifiziert werden können.rnUm dennoch das Ionisationspotential bestimmen zu können, wurde die verzögerte, gepulste Feldionisation wie auch das Verfahren der Isolated Core Excitation am Beispiel des Dysprosiums erprobt. Aus den so identifizierten Rydbergserien konnten Werte von IPFeld = 47899 ± 3 cm−1 beziehungsweise IPICE = 47900, 4 ± 1, 4 cm−1 bestimmt werden. Als komplementärer Ansatz, der auf ein möglichst reichhaltiges Spektrum in der Nähe des Ionisationspotentiales angewiesen ist, wurde zusätzlich die Sattelpunktsmethode erfolgreich eingesetzt. Das Ionisationspotential des Dysprosium wurde damit zu IPDy = 47901, 8±0, 3 cm−1 bestimmt, wobei am Samarium, dessen Ionisationspotential aus der Literatur mit höchster Genauigkeit bekannt ist, bestätigt werden konnte, dassrnauftretende systematische Fehler kleiner als 1 cm−1 sind. Das bisher sehr ungenau bekannte Ionisationspotential des Praseodyms wurde schließlich zu IPPr = 44120, 0 ± 0, 6 cm−1 gemessen. Hiermit wird der bisherige Literaturwert bei einer Verbesserung der Genauigkeit um zwei Größenordnungen um etwa 50 cm−1 nach oben korrigiert. Aus der Systematik der Ionisationspotentiale der Lanthaniden konnte schließlich das Ionisationspotential des radioaktiven Promethiums mit IPPm = 44985 ± 140 cm−1 vorhergesagt werden. Abschließend wurde die Laserresonanzionisation des Elements Protactinium demonstriertrnund das Ionisationspotential erstmals experimentell bestimmt. Ein Wert vonrn49000±110 cm−1 konnte aus dem charakteristischen Verhalten verschiedener Anregungsschemata gefolgert werden. Dieser Wert liegt etwa 1500 cm−1 höher als der bisherige Literaturwert, theoretische Vorhersagen weichen ebenfalls stark ab. Beide Abweichungen können über eine Betrachtung der Systematik der Ionisationspotentiale in der Aktinidenreihe hervorragend verstanden werden.

Bottle microresonators for applications in quantum optics and all-optical signal processing

This thesis reports on the experimental realization, characterization and application of a novel microresonator design. The so-called “bottle microresonator” sustains whispering-gallery modes in which light fields are confined near the surface of the micron-sized silica structure by continuous total internal reflection. While whispering-gallery mode resonators in general exhibit outstanding properties in terms of both temporal and spatial confinement of light fields, their monolithic design makes tuning of their resonance frequency difficult. This impedes their use, e.g., in cavity quantum electrodynamics (CQED) experiments, which investigate the interaction of single quantum mechanical emitters of predetermined resonance frequency with a cavity mode. In contrast, the highly prolate shape of the bottle microresonators gives rise to a customizable mode structure, enabling full tunability. The thesis is organized as follows: In chapter I, I give a brief overview of different types of optical microresonators. Important quantities, such as the quality factor Q and the mode volume V, which characterize the temporal and spatial confinement of the light field are introduced. In chapter II, a wave equation calculation of the modes of a bottle microresonator is presented. The intensity distribution of different bottle modes is derived and their mode volume is calculated. A brief description of light propagation in ultra-thin optical fibers, which are used to couple light into and out of bottle modes, is given as well. The chapter concludes with a presentation of the fabrication techniques of both structures. Chapter III presents experimental results on highly efficient, nearly lossless coupling of light into bottle modes as well as their spatial and spectral characterization. Ultra-high intrinsic quality factors exceeding 360 million as well as full tunability are demonstrated. In chapter IV, the bottle microresonator in add-drop configuration, i.e., with two ultra-thin fibers coupled to one bottle mode, is discussed. The highly efficient, nearly lossless coupling characteristics of each fiber combined with the resonator's high intrinsic quality factor, enable resonant power transfers between both fibers with efficiencies exceeding 90%. Moreover, the favorable ratio of absorption and the nonlinear refractive index of silica yields optical Kerr bistability at record low powers on the order of 50 µW. Combined with the add-drop configuration, this allows one to route optical signals between the outputs of both ultra-thin fibers, simply by varying the input power, thereby enabling applications in all-optical signal processing. Finally, in chapter V, I discuss the potential of the bottle microresonator for CQED experiments with single atoms. Its Q/V-ratio, which determines the ratio of the atom-cavity coupling rate to the dissipative rates of the subsystems, aligns with the values obtained for state-of-the-art CQED microresonators. In combination with its full tunability and the possibility of highly efficient light transfer to and from the bottle mode, this makes the bottle microresonator a unique tool for quantum optics applications.

Supernova detection in a future extension of the IceCube neutrino telescope

Marking the final explosive burning stage of massive stars, supernovae are onernthe of most energetic celestial events. Apart from their enormous optical brightnessrnthey are also known to be associated with strong emission of MeV neutrinos—up tornnow the only proven source of extrasolar neutrinos.rnAlthough being designed for the detection of high energy neutrinos, the recentlyrncompleted IceCube neutrino telescope in the antarctic ice will have the highestrnsensitivity of all current experiments to measure the shape of the neutrino lightrncurve, which is in the MeV range. This measurement is crucial for the understandingrnof supernova dynamics.rnIn this thesis, the development of a Monte Carlo simulation for a future low energyrnextension of IceCube, called PINGU, is described that investigates the response ofrnPINGU to a supernova. Using this simulation, various detector configurations arernanalysed and optimised for supernova detection. The prospects of extracting notrnonly the total light curve, but also the direction of the supernova and the meanrnneutrino energy from the data are discussed. Finally the performance of PINGU isrncompared to the current capabilities of IceCube.

Factorization and non-local 1/m b corrections in the decay B X s gamma

In this thesis, a systematic analysis of the bar B to X_sgamma photon spectrum in the endpoint region is presented. The endpoint region refers to a kinematic configuration of the final state, in which the photon has a large energy m_b-2E_gamma = O(Lambda_QCD), while the jet has a large energy but small invariant mass. Using methods of soft-collinear effective theory and heavy-quark effective theory, it is shown that the spectrum can be factorized into hard, jet, and soft functions, each encoding the dynamics at a certain scale. The relevant scales in the endpoint region are the heavy-quark mass m_b, the hadronic energy scale Lambda_QCD and an intermediate scale sqrt{Lambda_QCD m_b} associated with the invariant mass of the jet. It is found that the factorization formula contains two different types of contributions, distinguishable by the space-time structure of the underlying diagrams. On the one hand, there are the direct photon contributions which correspond to diagrams with the photon emitted directly from the weak vertex. The resolved photon contributions on the other hand arise at O(1/m_b) whenever the photon couples to light partons. In this work, these contributions will be explicitly defined in terms of convolutions of jet functions with subleading shape functions. While the direct photon contributions can be expressed in terms of a local operator product expansion, when the photon spectrum is integrated over a range larger than the endpoint region, the resolved photon contributions always remain non-local. Thus, they are responsible for a non-perturbative uncertainty on the partonic predictions. In this thesis, the effect of these uncertainties is estimated in two different phenomenological contexts. First, the hadronic uncertainties in the bar B to X_sgamma branching fraction, defined with a cut E_gamma > 1.6 GeV are discussed. It is found, that the resolved photon contributions give rise to an irreducible theory uncertainty of approximately 5 %. As a second application of the formalism, the influence of the long-distance effects on the direct CP asymmetry will be considered. It will be shown that these effects are dominant in the Standard Model and that a range of -0.6 < A_CP^SM < 2.8 % is possible for the asymmetry, if resolved photon contributions are taken into account.

Metastability exchange optical pumping in 3 He gas up to 30 mT: Efficiency measurements and evidence of laser-induced nuclear relaxation

Advances in metastability exchange optical pumping (MEOP) of 3He at high laser powers, with its various applications, but also at high gas pressures p3 and high magnetic field strengths B, have provided strong motivation for revisiting the understanding and for investigating the limitations of this powerful technique. For this purpose, we present systematic experimental and theoretical studies of efficiency and of relaxation mechanisms in B≤30 mT and p3=0.63−2.45 mbar. 3He nuclear polarisation is measured by light absorption in longitudinal configuration where weak light beams at 1083 nm parallel to magnetic field and cell axis with opposite circular polarisations are used to probe the distribution of populations in the metastable state. This method is systematically tested to evaluate potential systematic biases and is shown to be reliable for the study of OP dynamics despite the redistribution of populations by OP light. Nuclear polarisation loss associated to the emission of polarised light by the plasma discharge used for MEOP is found to decrease above 10 mT, as expected, due to hyperfine decoupling in highly excited states. However, this does not lead to improved MEOP efficiency at high laser power. We find clear evidence of additional laser-induced relaxation instead. The strong OP-enhanced polarisation losses, currently limiting MEOP performances, are quantitatively investigated using an angular momentum budget approach and a recently developed comprehensive model that describes the combined effects of OP, ME and relaxation, validated by comparison to experimental results.

Ergodicity and regularity of invariant measure for branching Markov processes with immigration

In this thesis we consider systems of finitely many particles moving on paths given by a strong Markov process and undergoing branching and reproduction at random times. The branching rate of a particle, its number of offspring and their spatial distribution are allowed to depend on the particle's position and possibly on the configuration of coexisting particles. In addition there is immigration of new particles, with the rate of immigration and the distribution of immigrants possibly depending on the configuration of pre-existing particles as well. In the first two chapters of this work, we concentrate on the case that the joint motion of particles is governed by a diffusion with interacting components. The resulting process of particle configurations was studied by E. Löcherbach (2002, 2004) and is known as a branching diffusion with immigration (BDI). Chapter 1 contains a detailed introduction of the basic model assumptions, in particular an assumption of ergodicity which guarantees that the BDI process is positive Harris recurrent with finite invariant measure on the configuration space. This object and a closely related quantity, namely the invariant occupation measure on the single-particle space, are investigated in Chapter 2 where we study the problem of the existence of Lebesgue-densities with nice regularity properties. For example, it turns out that the existence of a continuous density for the invariant measure depends on the mechanism by which newborn particles are distributed in space, namely whether branching particles reproduce at their death position or their offspring are distributed according to an absolutely continuous transition kernel. In Chapter 3, we assume that the quantities defining the model depend only on the spatial position but not on the configuration of coexisting particles. In this framework (which was considered by Höpfner and Löcherbach (2005) in the special case that branching particles reproduce at their death position), the particle motions are independent, and we can allow for more general Markov processes instead of diffusions. The resulting configuration process is a branching Markov process in the sense introduced by Ikeda, Nagasawa and Watanabe (1968), complemented by an immigration mechanism. Generalizing results obtained by Höpfner and Löcherbach (2005), we give sufficient conditions for ergodicity in the sense of positive recurrence of the configuration process and finiteness of the invariant occupation measure in the case of general particle motions and offspring distributions.

Packing a trunk : a physically based approach with full motional freedom

Geometric packing problems may be formulated mathematically as constrained optimization problems. But finding a good solution is a challenging task. The more complicated the geometry of the container or the objects to be packed, the more complex the non-penetration constraints become. In this work we propose the use of a physics engine that simulates a system of colliding rigid bodies. It is a tool to resolve interpenetration conflicts and to optimize configurations locally. We develop an efficient and easy-to-implement physics engine that is specialized for collision detection and contact handling. In succession of the development of this engine a number of novel algorithms for distance calculation and intersection volume were designed and imple- mented, which are presented in this work. They are highly specialized to pro- vide fast responses for cuboids and triangles as input geometry whereas the concepts they are based on can easily be extended to other convex shapes. Especially noteworthy in this context is our ε-distance algorithm - a novel application that is not only very robust and fast but also compact in its im- plementation. Several state-of-the-art third party implementations are being presented and we show that our implementations beat them in runtime and robustness. The packing algorithm that lies on top of the physics engine is a Monte Carlo based approach implemented for packing cuboids into a container described by a triangle soup. We give an implementation for the SAE J1100 variant of the trunk packing problem. We compare this implementation to several established approaches and we show that it gives better results in faster time than these existing implementations.

Untersuchungen zur Strahldynamik am Harmonischen Doppelseitigen Mikrotron von MAMI-C

Das Institut für Kernphysik der Universität Mainz betreibt seit 1990 eine weltweit einzigartige Beschleunigeranlage für kern- und teilchenphysikalische Experimente – das Mainzer Mikrotron (MAMI-B). Diese Beschleunigerkaskade besteht aus drei Rennbahn-Mikrotrons (RTMs) mit Hochfrequenzlinearbeschleunigern bei 2.45 GHz, mit denen ein quasi kontinuierlicher Elektronenstrahl von bis zu 100 μA auf 855MeV beschleunigt werden kann.rnrnIm Jahr 1999 wurde die Umsetzung der letzten Ausbaustufe – ein Harmonisches Doppelseitiges Mikrotron (HDSM, MAMI-C) – mit einer Endenergie von 1.5 GeV begonnen. Die Planung erforderte einige mutige Schritte, z.B. Umlenkmagnete mit Feldgradient und ihren daraus resultierenden strahloptischen Eigenschaften, die einen großen Einfluss auf die Longitudinaldynamik des Beschleunigers haben. Dies erforderte die Einführung der „harmonischen“ Betriebsweise mit zwei Frequenzen der zwei Linearbeschleuniger.rnrnViele Maschinenparameter (wie z.B. HF-Amplituden oder -Phasen) wirken direkt auf den Beschleunigungsprozess ein, ihre physikalischen Größen sind indes nicht immer auf einfache Weise messtechnisch zugänglich. Bei einem RTM mit einer verhältnismäßig einfachen und wohldefinierten Strahldynamik ist das im Routinebetrieb unproblematisch, beim HDSM hingegen ist schon allein wegen der größeren Zahl an Parametern die Kenntnis der physikalischen Größen von deutlich größerer Bedeutung. Es gelang im Rahmen dieser Arbeit, geeignete Methoden der Strahldiagnose zu entwickeln, mit denen diese Maschinenparameter überprüft und mit den Planungsvorgaben verglichen werden können.rnrnDa die Anpassung des Maschinenmodells an eine einzelne Phasenmessung aufgrund der unvermeidlichen Messfehler nicht immer eindeutige Ergebnisse liefert, wird eine Form der Tomographie verwendet. Der longitudinale Phasenraum wird dann in Form einer Akzeptanzmessung untersucht. Anschließend kann ein erweitertes Modell an die gewonnene Datenvielfalt angepasst werden, wodurch eine größere Signifikanz der Modellparameter erreicht wird.rnrnDie Ergebnisse dieser Untersuchungen zeigen, dass sich der Beschleuniger als Gesamtsystem im Wesentlichen wie vorhergesagt verhält und eine große Zahl unterschiedlicher Konfigurationen zum Strahlbetrieb möglich sind – im Routinebetrieb wird dies jedoch vermieden und eine bewährte Konfiguration für die meisten Situationen eingesetzt. Das führt zu einer guten Reproduzierbarkeit z.B. der Endenergie oder des Spinpolarisationswinkels an den Experimentierplätzen.rnrnDie Erkenntnisse aus diesen Untersuchungen wurden teilweise automatisiert, so dass nun den Operateuren zusätzliche und hilfreiche Diagnose zur Verfügung steht, mit denen der Maschinenbetrieb noch zuverlässiger durchgeführt werden kann.