There are several reasons why exotic and artificial atoms attract the interest of different scientific communities.In exotic atoms, matter and antimatter can coexist for surprisingly long times. Thus, they present a unique natural laboratory for high precision antimatter studies. In artificial atoms, electrons can be confined in an externally controlled way. This aspect is crucial, as it opens new possibilities for high precision measurements and also makes artificial atoms promising potential candidates for qubits, i.e. the essential bricks for quantum computation.The first part of the thesis presents theoretical studies of resonant states in antiprotonic atoms and spherical two-electron quantum dots, where well established techniques, frequently used for conventional atomic systems, can be applied after moderate modifications. In the framework of Markovian master equations, it is then demonstrated that systems containing resonant states can be approached as open systems in which the resonance width determines the environmental coupling. The second part of the thesis focuses on possible quantum computational aspects of two kinds of artificial atoms, quantum dots and Penning traps. Environmentally induced decoherence, the main obstacle for a practical realization of a quantum computer based on these devices, is studied within a simple phenomenological model. As a result, the dependence of the decoherence timescales on the temperature of the heat bath and environmental scattering rates is obtained.

We consider computation of resonances in open systems and acoustic scattering problems. These problems are posed on an unbounded domain and domain truncation is required for the numerical computation. In this paper, a perfectly matched layer (PML) technique is proposed for computation of solutions to the unbounded domain problems. For resonance problems, resonance functions are characterized as improper eigenfunction (non-zero solutions of the eigenvalue problem which are not square integrable) of the Helmholtz equation on an unbounded domain. We shall see that the application of the spherical PML converts the resonance problem to a standard eigenvalue problem on the infinite domain. Then, the goal will be to approximate the eigenvalues first by replacing the infinite domain by a finite computational domain with a convenient boundary condition and second by applying finite elements to the truncated problem. As approximation of eigenvalues of problems on a bounded domain is classical [12], we will focus on the convergence of eigenvalues of the (continuous) PML truncated problem to those of the infinite PML problem. Also, it will be shown that the domain truncation does not produce spurious eigenvalues provided that the size of computational domain is sufficiently large. The spherical PML technique has been successfully applied for approximation of scattered waves [13]. We develop an analysis for the case of a Cartesian PML application to the acoustic scattering problem, i.e., solvability of infinite and truncated Cartesian PML scattering problems and convergence of the truncated Cartesian PML problem to the solution of the original solution in the physical region as the size of computational domain increases.

Title: Giant monopole resonances in deformed nuclei Author: Daniel Božík Department: Institute of particle and nuclear physics Supervisor: prof. RNDr. Jan Kvasil, DrSc., ÚČJF, MFF UK Abstract: The study of giant monopole resonances is important, because of its di- rect connection to the incompressibility of the nuclear matter, and its importance has risen with new experimental data obtained in recent years from the experi- ments TAMU and RCNP. The current work brings a study of the giant monopole resonances for chains of spherical (Pb, Sn, Zr) as well as deformed (Sm, Mo, Cd) isotopes. The calculations were carried out within the HFB + SRPA method, which was developed at MFF UK in cooperation with JINR Dubna and the University of Erlangen. We were as first able to confirm, from the microscopic theory, the appearance of a double-peak structure of GMR strength functions for deformed nuclei, and its connection with E0-E2 coupling. We showed the importance of using strength functions in the study of GMR. Keywords: HFB, SRPA, giant monopole resonances 1

Orientador: Prof. Dr Pedro Galli Mercadante / Tese (doutorado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, 2015. / We present a search in the CMS detector for a high-mass and narrow resonance decaying into a Higgs and a Z SM bosons in the final state with a pair of tau leptons and a pair of quarks. We analyze 19:7=fb of integrated luminosity of? s = 8 TeV proton-proton collisions from LHC. In the resonance mass range of interest (1:0 .. 2:5 TeV), the Z and Higgs bosons are produced with large momentum compared with their masses, which implies that the final products of the two quarks and the two taus must be detected within a small angular separation (boosted topology). Jet substructure techniques are used to identify the boosted Z boson decaying hadronically and a modified approach is considered to reconstruct very collimated pairs of tau leptons from boosted Higgs decay. From a combination of all possible decay modes of the tau lepton, heavy spin-1 resonances production cross sections are excluded at 95% C.L. in a range between 0:9 and 27:8 fb, depending on the resonance mass. We consider as benchmark model an effective description of a strongly coupled theory based on the Minimal Composite Higgs Model, which predicts heavy resonances with suppressed branching fractions into fermions. Comparing the experimental limits with analytical expressions of the parameters of a simplified model Lagrangian we obtain observed limits on these parameters, which are directly connected with the heavy resonance production and decay. / Apresentamos uma busca no detector CMS por ressonâncias massivas decaindo em um bóson de Higgs e um boson Z do Modelo Padrão no estado final com um par de leptons tau e um par de quarks. Analisamos 19; 7=fb de luminosidade integrada em colisões próton-próton com energia no centro de massa de 8 TeV no LHC. No intervalo de massa da ressonância entre 1; 0 .. 2; 5 TeV, os bósons Z e Higgs são produzidos com um momento grande comparado a suas massas, isso implica que os produtos finais provenientes de cada par de taus ou quarks devem ser detectados dentro de pequenas regiões espaciais. Técnicas de subestrutura de jatos são utilizadas para identificar o boson Z que decai em quarks. Para o Higgs decaindo em taus é definido um metodo modificado de reconstrução de pares de taus com alto momento e colimados. Combinando os resultados das análises de cada modo de decaimento do tau, são excluidas com 95% de confiança seções de choque de produção de ressonâncias com spin-1 no intervalo de 0; 9..27; 8 fb, dependendo da massa da ressonância. Consideramos como modelo de referência uma teoria efetiva de Higgs composto, que prediz ressonâncias massivas com pequena razão de ramificação em férmions. Comparando os limites experimentais com expressões analíticas dos parâmetros de uma Lagrangeana de um modelo simplificado, obtemos limites sobre esses parâmetros, os quais estão diretamente relacionados com a produção e decaimento das ressonâncias.

A existência de um méson escalar-isoescalar leve, conhecido como ?, foi proposta pela primeira vez na década de 60. A partícula tinha então um papel importante na construção teórica das interações ?? mas, apesar dos esforços experimentais, ela não foi detectada nos anos que se seguiram. Essa situação foi radicalmente alterada em 2001, quando uma ressonância escalar foi descoberta nos canais ?+?- do decaimento D+ -> ?+?-?+ e recebeu o rótulo ?(500). Sua existência é bem estabelecida hoje em dia. Contudo, no tratamento dos dados dos vários grupos experimentais são empregadas expressões com pouca base teórica e, por isso, os valores de sua massa e largura ainda são mal conhecidos. Neste tipo de decaimento, a formação da ressonância pode se dar no vértice fraco. Em sua subseqüente propagação, ocorrem as chamadas interações de estado final, cuja descrição não é trivial. Normalmente, essas interações não são levadas em conta de maneira criteriosa na análise de dados experimentais. Neste trabalho introduzimos uma função _(s) que descreve a propagação e decaimento da ressonância em presença das interações de estado final. No regime elástico, a fase de _(s) é determinada pelo chamado teorema de Watson, segundo o qual ela deve ser a mesma do espalhamento. Conseguimos estabelecer, sem ambigüidades, como a informação do espalhamento deve ser usada de forma a determinar não somente a fase de _(s), mas também seu módulo. Nosso principal resultado é uma expressão para _(s) em termos da fase elástica e de uma outra fase relacionada a uma integral de loop bem controlada. Três casos particulares foram explorados numericamente: os modelos sigma linear e não linear e ainda um modelo fenomenológico que leva em conta o acoplamento de canais p´?on-p´?on e k´aon-k´aon. Em consonância com a teoria quântica de campos, nosso resultado incorpora a unitariedade, considera a ressonância como grau de liberdade explícito e representa, ainda, uma generalização do procedimento usual de unitarizacao pela matriz K. Por permitir uma ligação clara entre espalhamento e produção, a função _(s) pode ser útil na análise de dados experimentais e ajudar na determinação da posição do pólo do ? e de outras ressonâncias escalares. / The existence of a light scalar-isoscalar meson, known as ?, was suggested in the 60\'s. This particle played an important role in the theoretical construction of ?? interactions but, in spite of all experimental effort, it failed to be detected. This scenario changed radically in 2001, when a scalar-isoscalar resonance was discovered in the ?+?- channel of the D+ -> ?+?-?+ decay and was called ?(500). Nowadays, its existence is rather well established. However, in the analysis of experimental data, expressions loosely based on theory are employed and therefore its mass and width are still not well known. In this kind of decay, the production of the resonance may occur at the weak vertex. When it propagates, final state interactions take place. Usually these interactions are not properly taken into account in data analysis. In this work, we introduce a function _(s), which describes the propagation and decay of the resonance in the presence of the final state interactions. In the elastic regime, the phase of _(s) is determined by the Watson\'s theorem, which states that it must be the same as the scattering phase. We were able to establish, unambiguously, how the information from scattering should be used to determine not only the phase of _(s) but also its modulus. Our main result is an expression for _(s) in terms of the elastic phase and another one related to a well controlled loop integral. Three special cases are explored numerically, namely: the linear and non linear sigma models and a phenomenological model that takes into account the coupling between pion-pion and kaon-kaon channels. In agreement with quantum field theory, our result encompasses unitarity, treats the resonance as an explicit degree of freedom and, moreover, corresponds to a generalisation of the usual K-matrix unitarization procedure. Since it represents a clear way to relate scattering and production, our function _(s) can be useful in data analysis and may be instrumental in the determination of the pole position of the ? as well as other scalar resonances.

This work presents a combination of analytical and numerical approaches to gain an insight of the dynamics of marine risers and micro machined resonators. Despite their scale difference, we show that both systems share similarities in terms of initial static deformation, quadratic and cubic nonlinearities, and internal resonances. First, we utilize the state space method to study the eigenvalue problem of vertical riser. An orthonormalization step is introduced to recover the numerical scheme during numerical integration and we investigate the effect of applied tension, apparent weight, and higher-order modes on the accuracy of the scheme. We show that the method is advantageous to find eigenvalues and mode shapes of vertical risers in comparison to other methods. The work is extended to study the eigenvalue problem of inclined risers considering the influence of static deflection, self-weight and mid-plane stretching. The linear dynamics is solved using Galerkin method. The results demonstrate that under the influence of tension and configuration angle, the frequencies exhibit commensurate ratio with respect to the first natural frequency leading to the possible activation of internal resonances. Next, we study the nonlinear interactions of inclined risers considering two-to-one and three-to-one internal resonances under single and multifrequency excitations. The multiple times scale method is applied to study the nonlinear interaction and results are compared to those from a Galerkin solution showing good agreement. Time histories and perturbation’s response curves, in addition to the dynamical solution obtained by Galerkin and stability analysis using Floquet theory are utilized to examine the system. These results feature nonlinear energy exchange, saddle node jumps, and Hopf bifurcations leading to complex dynamic motion that can endanger the riser structure. Finally, the analysis using pertubation is extended to investigate the two-to-one internal resonance in micromachined arch beams between its first two symmetric modes. The response is analyzed using the perturbation method considering the nonlinear interaction and two simultaneous excitations at higher AC voltages. Good agreement is found among the results of pertubations, Galerkin and experimental data from fabricated Silicon arch beam. Different types of bifurcations are observed which can lead to quasi-periodic and potentially chaotic motions.

<p> A new technique has be~n developed for the measurement of fast neutron total cross-sections in the range 0.8 -> 3.0 MeV using the fast neutrons from a reactor. The method was used to obtain the cross-section of six elements in the 2s-1d shell. Various analytical techniques have been applied to measure the behavior of the average cross-sections and delineate the properties of the observed resonances. From these results the resonances are confirmed as examples of "doorway" states, and conclusions are drawn about the distributions of the parameters of these states. The average properties are related to nuclear models of the origin and characteristics of states of high excitation in the target nuclides.</p> / Thesis / Doctor of Philosophy (PhD)

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