Full text
| |
| Author(s): |
Regina Fonseca Ávila
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2009-02-19 |
| Examining board members: |
Márcio José Menon;
Jayme Morandi Vaz;
Edmundo Capelas de Oliveira;
Erasmo Madureira Ferreira;
Bruto Max Pimentel Escobar
|
| Advisor: | Márcio José Menon |
| Abstract | |
We investigate high-energy elastic hadron scattering by means of three different approaches: analytical, empirical, and phenomenological. The first one is characterized by the fundamental principles of analyticity and crossing symmetry, polynomial limits for the scattering amplitude and dispersion relations. In special, for classes of functions of physical interest, we introduce novel derivative dispersion relations wich are equivalent to integral dispersion relations. In the second approach, based on unitarity principle, we treat the eikonal representation. In this context, by means of an empirical parametrization for the scattering amplitude and an analytical-numerical method, we extract the eikonal in the momentum transfer space, in a model independent way. In special, we obtain statistical evidence that the imaginary part of eikonal presents a zero (change of sign) in the momentum transfer space; the implication of this zero in the phenomenological context is discussed in certain detail. In the third approach, through a model based on the Regge formalism, we investigate the contributions of the Odderon (odd amplitude) and the Pomeron (even amplitude) in the high energy region. In special, we describe new procedures that can lead to the detection of the Odderon in the experiments to be performed in particle accelerators, Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC). (AU) | |