Bound state equation for the Nakanishi weight function

Autor(es)

Carbonell, J. ; Frederico, T. ; Karmanov, V. A.

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters B; v. 769, p. 418-423, JUN 10 2017.
• Citações Web of Science: 8

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
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional