Two-Fermion Bound States within the Bethe-Salpeter Approach
Nuclear Theory
2008-11-26 v1 High Energy Physics - Phenomenology
Abstract
To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is suitable for a representation of the vertex functions. We present a numerical algorithm to solve the Bethe-Salpeter equation and investigate in detail the properties of the solution for the scalar, pseudoscalar and vector meson exchange kernels including the stability of bound states. We also compare our results to the non relativistic ones and to the results given by light front dynamics.
Cite
@article{arxiv.0708.2146,
title = {Two-Fermion Bound States within the Bethe-Salpeter Approach},
author = {S. M. Dorkin and M. Beyer and S. S. Semikh and L. P. Kaptari},
journal= {arXiv preprint arXiv:0708.2146},
year = {2008}
}
Comments
32 pages, XIII Tables, 8 figures