Lower bound to the mass of a relativistic three-boson system in the light-cone
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
The lower bound masses of the ground-state relativistic three-boson system in 1+1, 2+1 and 3+1 space-time dimensions are obtained. We have considered a reduction of the ladder Bethe-Salpeter equation to the light-front in a model with renormalized two-body contact interaction. The lower bounds are deduced with the constraint of reality of the two-boson subsystem mass. It is verified that, in some cases, the lower bound approaches the ground state binding energy. The corresponding non-relativistic limits are also verified.
Cite
@article{arxiv.hep-ph/0102129,
title = {Lower bound to the mass of a relativistic three-boson system in the light-cone},
author = {J. P. B. C. de Melo and A. E. A. Amorim and Lauro Tomio and T. Frederico},
journal= {arXiv preprint arXiv:hep-ph/0102129},
year = {2008}
}
Comments
14 pages, 4 ps-figures. To appear in J. of Phys. G