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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Bound state equation for the Nakanishi weight function

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Autor(es):
Carbonell, J. ; Frederico, T. ; Karmanov, V. A.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Physics Letters B; v. 769, p. 418-423, JUN 10 2017.
Citações Web of Science: 6
Resumo

The bound state Bethe-Salpeter amplitude was expressed by Nakanishi using a two-dimensional integral representation, in terms of a smooth weight function g, which carries the detailed dynamical information. A similar, but one-dimensional, integral representation can be obtained for the Light-Front wave function in terms of the same weight function g. By using the generalized Stieltjes transform, we first obtain g in terms of the Light-Front wave function in the complex plane of its arguments. Next, a new integral equation for the Nakanishi weight function g is derived for a bound state case. It has the standard form g = N g, where N is a two-dimensional integral operator. We give the prescription for obtaining the kernel N starting with the kernel K of the Bethe-Salpeter equation. The derivation is valid for any kernel given by an irreducible Feynman amplitude. (C) 2017 The Author(s). Published by Elsevier B.V. (AU)

Processo FAPESP: 15/22701-6 - Teoria relativística de poucos corpos a suas aplicações em hádrons e no núcleo
Beneficiário:Tobias Frederico
Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Internacional