Two topics in elementary particle physics. I. Crossing as a group and elimination of exotic channels. II. Real parts of meson-nucleon forward scattering amplitudes.

I. Crossing transformations constitute a group of permutations under which the scattering amplitude is invariant. Using Mandelstem's analyticity, we decompose the amplitude into irreducible representations of this group. The usual quantum numbers, such as isospin or SU(3), are "crossing-invariant". Thus no higher symmetry is generated by crossing itself. However, elimination of certain quantum numbers in intermediate states is not crossing-invariant, and higher symmetries have to be introduced to make it possible. The current literature on exchange degeneracy is a manifestation of this statement. To exemplify application of our analysis, we show how, starting with SU(3) invariance, one can use crossing and the absence of exotic channels to derive the quark-model picture of the tensor nonet. No detailed dynamical input is used.

II. A dispersion relation calculation of the real parts of forward π^±p and K^±p scattering amplitudes is carried out under the assumption of constant total cross sections in the Serpukhov energy range. Comparison with existing experimental results as well as predictions for future high energy experiments are presented and discussed. Electromagnetic effects are found to be too small to account for the expected difference between the π^-p and π⁺p total cross sections at higher energies.

Could the library be dismantled/role of unique holdings in modern times

I have been asked by administration, how much of our collection could go into storage. They optimistically hoping for a room or two for faculty/staff offices, as some buildings need renovation or need to be closed due to safety issues. Clearly, much of the population believes that all/most library materials are available on-line – free. I will present the results of our survey’s of material held and available on-line and space “freed” thanks to archiving. How little space is freed.

New Physics Models in the Diphoton Final State at CMS

Since the discovery of the Higgs boson at the LHC, its use as a probe to search for beyond the standard model physics, such as supersymmetry, has become important, as seen in a recent search by the CMS experiment using razor variables in the diphoton final state. Motivated by this search, this thesis examines the LHC discovery potential of a SUSY scenario involving bottom squark pair production with a Higgs boson in the final state. We design and implement a software-based trigger using the razor variables for the CMS experiment to record events with a bottom quark-antiquark pair from a Higgs boson. We characterize the full range of signatures at the LHC from this Higgs-aware SUSY scenario and demonstrate the sensitivity of the CMS data to this model.

A interpretação filosófica da mecânica quântica de Werner Heisenberg: ontologia matemática e a crise nos fundamentos da lógica clássica

Qual a Filosofia da Natureza que podemos inferir da Física Contemporânea? Para Werner Karl Heisenberg, prêmio Nobel de Física de 1932, a ontologia da Ciência Moderna, estruturada no materialismo, no mecanicismo e no determinismo já não pode servir de fundamento para a nova Física. Esta requer uma nova base ontológica, onde o antirrealismo, seguido de um formalismo puro, aparece como o princípio basilar de uma nova Filosofia Natural. Este trabalho visa investigar o pensamento filosófico, a ontologia antirrealista, formalista, a abordagem da tradição filosófica e da história da ciência de Werner Heisenberg e sua contribuição para a interpretação da mecânica quântica.

Bessel functions and equations of mathematical physics

The aim of this dissertation is to introduce Bessel functions to the reader, as well as studying some of their properties. Moreover, the final goal of this document is to present the most well- known applications of Bessel functions in physics.

Nous sommes tousjours au dela : a negação narrative do sujeito modern em Sur des vers de Virgile (ensaios III, cap.V) de Michel de Motaigne

Investigando a apresentação das ideias em Sobre versos de Virgílio, a tese demonstra como sua estruturação ambígua, onde tudo é constantemente negado por seus contrários, leva a um contínuo estado de confusão e perplexidade, tornando impossível a determinação lógica dos conceitos e conduzindo a um progressivo esvaziamento do texto enquanto signo direto do pensamento do autor. Por outro lado, partindo de uma perspectiva hermenêutica influenciada pela anatomia, a análise mostra que o uso sistemático e criativo das instâncias narrativas (autor, narrador, signatário), juntamente com a reunificação textual de diferentes Montaignes (presentes nos diversos estágio editoriais do ensaio), acaba por dissolver a própria noção de identidade a si do autor, tendo por consequência imediata sua disseminação em vários sujeitos diversos e contraditórios e, por fim, colocando em xeque a clássica percepção dos Ensaios com o nascimento da subjetividade moderna.

Detection of particles with a cloud chamber

Cloud chambers were essential devices in early nuclear and particle physics research. Superseded by more modern detectors in actual research, they still remain very interesting pedagogical apparatus. This thesis attempts to give a global view on this topic. To do so, a review of the physical foundations of the diffusion cloud chamber, in which an alcohol is supersaturated by cooling it with a thermal reservoir, is carried out. Its main results are then applied to analyse the working conditions inside the chamber. The analysis remarks the importance of using an appropriate alcohol, such as isopropanol, as well as a strong cooling system, which for isopropanol needs to reach −40ºC. That theoretical study is complemented with experimental tests that were performed with what is the usual design of a home-made cloud chamber. An effective setup is established, which highlights details such as a grazing illumination, a direct contact with the cooling reservoir through a wide metal plate, or the importance of avoiding vapour removal. Apart from that, video results of different phenomena that cloud chamber allow to observe are also presented. Overall, it is aimed to present a physical insight that pedagogical papers usually lack.

Hartle's model within the general theory of perturbatiye matchings: the change in mass

Hartle's model provides the most widely used analytic framework to describe isolated compact bodies rotating slowly in equilibrium up to second order in perturbations in the context of General Relativity. Apart from some explicit assumptions, there are some implicit, like the "continuity" of the functions in the perturbed metric across the surface of the body. In this work we sketch the basics for the analysis of the second order problem using the modern theory of perturbed matchings. In particular, the result we present is that when the energy density of the fluid in the static configuration does not vanish at the boundary, one of the functions of the second order perturbation in the setting of the original work by Hartle is not continuous. This discrepancy affects the calculation of the change in mass of the rotating star with respect to the static configuration needed to keep the central energy density unchanged.