| Full text | |
| 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 Opportunities: | Research Grants - Visiting Researcher Grant - International |