Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
High Energy Physics - Phenomenology
2009-08-05 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
Bethe-Salpeter and light-front bound state equations for three scalar particles interacting by scalar exchange-bosons are solved in ladder truncation. In contrast to two-body systems, the three-body binding energies obtained in these two approaches differ significantly from each other: the ladder kernel in light-front dynamics underbinds by approximately a factor of two compared to the ladder Bethe-Salpeter equation. By taking into account three-body forces in the light-front approach, generated by two exchange-bosons in flight, we find that most of this difference disappears; for small exchange masses, the obtained binding energies coincide with each other.
Keywords
Cite
@article{arxiv.0811.1100,
title = {Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations},
author = {V. A. Karmanov and P. Maris},
journal= {arXiv preprint arXiv:0811.1100},
year = {2009}
}
Comments
24 pages, 8 figures, submitted in Few-Body Systems