Teoria relativística de poucos corpos a suas aplicações em hádrons e no núcleo
- Auxílios pontuais (curta duração)
| Processo: | 13/50027-2 |
| Linha de fomento: | Auxílio à Pesquisa - Regular |
| Vigência: | 01 de abril de 2013 - 31 de maio de 2015 |
| Área do conhecimento: | Ciências Exatas e da Terra - Física - Física Nuclear |
| Convênio/Acordo: | CNRS |
| Pesquisador responsável: | Tobias Frederico |
| Beneficiário: | Tobias Frederico |
| Pesq. responsável no exterior: | Jaume Carbonell |
| Instituição no exterior: | Université Paris-Sud (Paris 11), França |
| Instituição-sede: | Divisão de Engenharia Aeronáutica (IEA). Instituto Tecnológico de Aeronáutica (ITA). Ministério da Defesa (Brasil). São José dos Campos , SP, Brasil |
| Vinculado ao auxílio: | 09/00069-5 - Aspectos de poucos corpos na física de muitos corpos, AP.TEM |
| Assunto(s): | Relatividade geral Interações nucleares Espalhamento Teoria de campos |
Resumo
The main aim of the project is to develop methods for solving the Bethe- Salpeter equation in Minkwoski space, both for bound and scattering states. Two main approaches will be used to derive workable equations: i) direct integration in Minkowski four- dimensional momentum space and ii) the Nakanishi perturbative integral representation of the Bethe-Salpeter amplitudes, which simplify the analytic structure of the kernel. The ladder approximation will be considered, and possibly other two-body irreducible contributions will be included in the kernel. Benchmark calculations will be performed using different methods. It will be considered bound and scattering states of boson-boson, fermion-boson and fermion-fermion systems, in the context of hadronic and nuclear physics, this will enable applications to meson-meson, meson-nucleon and nucleon-nucleon scattering, and possibly to the evaluation of the G-matrix in relativistic models of nuclei. In particular, we will consider effective-field-theory expansion methods for the nuclear interaction and study the matching of relativistic extensions of the Schr odinger equation to the Bethe- Salpeter equation. In condensed-matter physics, the application of the methods developed here will allow the study of exciton states in dopped/deformed grapheme, as well as the transition matrix for the electron-hole states in the continuum. (AU)