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Doctoral Thesis
Full name
Sergio Szpigel
Knowledge Area
Date of Defense
São Paulo, 1996
Krein, Gastão Inácio (President)
Frederico, Tobias
Grassi, Frederique
Kodama, Takeshi
Novaes, Sergio Ferraz
Title in Portuguese
Interação méson-méson no formalismo Fock-Tani
Keywords in Portuguese
Física nuclear
Teoria de campos
Abstract in Portuguese
A representação Fock-Tani é um formalismo de teoria de campos para tratar problemas envolvendo simultaneamente partículas compostas e seus constituintes. O formalismo foi originalmente desenvolvido para problemas de física atômica e nesta tese este é estendido para problemas de física hadrônica. Uma mudança de representação é implementada através de um operador unitário tal que estados mesônicos no espaço de Fock compostos por um par quark-anti- quark sejam redescritos em termos de operadores de campo de mésons elementares num espaço de Hilbert estendido. A aplicação do operador unitário a um Hamiltoniano microscópico de quarks leva a um Hamiltoniano efetivo que descreve todos os possíveis processos envolvendo quarks, anti-quarks e mésons. Esse Hamiltoniano efetivo é utilizado para estudar as interações entre mésons em baixa energia num modelo de quarks constituintes onde os quarks e anti-quarks interagem através da troca de um glúon e são confinados por um potencial fenomenológico. Este mesmo Hamiltoniano efetivo é empregado para estudar as propriedades de estados ligados mesônicos num meio a temperatura finita. Apresentamos também uma generalização do formalismo Fock-Tani para modelos de quarks sofisticados.
Title in English
Meson-Meson Interaction Fock-Tani Formalism
Keywords in English
Field theory
Nuclear physics
Abstract in English
The Fock-Tani representation is a field theoretic formalism to deal with problems involving simultaneously composite particles and their constituents. The formalism was originally developed for problems in atomic physics and in this thesis it is extended to problems in hadron physics. A change of representation is implemented by means of a unitary operator such that Fock-space bound meson states composed by a quark- anti-quark pair are redescribed by elementary-meson field operators in an extended Hilbert space. Application of the unitary operator on a microscopic quark Hamiltonian gives rise to an effective Hamiltonian which describes all possible processes involving quarks, anti-quarks, and mesons. This effective Hamiltonian is used to study meson interactions at low energies in a constituent quark model in which quarks and anti-quarks interact through one-gluon-exchange and are confined by a phenomenological potential. This same effective Hamiltonian is employed to study the properties of meson bound states in a medium at finite temperature. We also present a generalization of the Fock-Tani formalism for sophisticated quark models.
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