Nonperturbative study of generalized ladder graphs in a \phi^2\chi theory
High Energy Physics - Phenomenology
2009-10-28 v1 Nuclear Theory
Abstract
The Feynman-Schwinger representation is used to construct scalar-scalar bound states for the set of all ladder and crossed-ladder graphs in a \phi^2\chi theory in (3+1) dimensions. The results are compared to those of the usual Bethe-Salpeter equation in the ladder approximation and of several quasi-potential equations. Particularly for large couplings, the ladder predictions are seen to underestimate the binding energy significantly as compared to the generalized ladder case, whereas the solutions of the quasi-potential equations provide a better correspondence. Results for the calculated bound state wave functions are also presented.
Cite
@article{arxiv.hep-ph/9606403,
title = {Nonperturbative study of generalized ladder graphs in a \phi^2\chi theory},
author = {Taco Nieuwenhuis and J. A. Tjon},
journal= {arXiv preprint arXiv:hep-ph/9606403},
year = {2009}
}
Comments
5 pages revtex, 3 Postscripts figures, uses epsf.sty, accepted for publication in Physical Review Letters