Equation for the Nakanishi weight function using the inverse Stieltjes transform
High Energy Physics - Phenomenology
2018-04-04 v1 Nuclear Theory
Abstract
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms of a smooth weight function g. By using the generalized Stieltjes transform, we derive an integral equation for the Nakanishi function g for a bound state case. It has the standard form g= Vg, where V is a two-dimensional integral operator. The prescription for obtaining the kernel V starting with the kernel K of the Bethe-Salpeter equation is given.
Cite
@article{arxiv.1802.05515,
title = {Equation for the Nakanishi weight function using the inverse Stieltjes transform},
author = {V. A. Karmanov and J. Carbonell and T. Frederico},
journal= {arXiv preprint arXiv:1802.05515},
year = {2018}
}
Comments
7 pages