Solving the three-body bound-state Bethe-Salpeter equation in Minkowski space
High Energy Physics - Phenomenology
2019-03-27 v1 Nuclear Theory
Abstract
The scalar three-body Bethe-Salpeter equation, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities appearing in the propagators are treated properly by standard analytical and numerical methods, without relying on any ansatz or assumption. The results for the binding energies and transverse amplitudes are compared with the results computed in Euclidean space. A fair agreement between the calculations is found.
Cite
@article{arxiv.1903.01741,
title = {Solving the three-body bound-state Bethe-Salpeter equation in Minkowski space},
author = {E. Ydrefors and J. H. Alvarenga Nogueira and V. A. Karmanov and T. Frederico},
journal= {arXiv preprint arXiv:1903.01741},
year = {2019}
}
Comments
10 pages, 2 figures, version accepted for publication in Phys. Lett. B