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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Bound state equation for the Nakanishi weight function

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Author(s):
Carbonell, J. ; Frederico, T. ; Karmanov, V. A.
Total Authors: 3
Document type: Journal article
Source: Physics Letters B; v. 769, p. 418-423, JUN 10 2017.
Web of Science Citations: 8
Abstract

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)

FAPESP's process: 15/22701-6 - Theory of relativistic few-body systems and its applications to hadrons and nuclei
Grantee:Tobias Frederico
Support type: Research Grants - Visiting Researcher Grant - International