Relativistic three-particle scattering equations
Nuclear Theory
2008-11-26 v1
Abstract
We derive a set of relativistic three-particle scattering equations in the three-particle c.m. frame employing a relativistic three-particle propagator suggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle subsystem. We make the coordinate transformation of this propagator from the c.m. frame of the two-particle subsystem to the three-particle c.m. frame. We also point out that some numerical applications of the Ahmadzadeh and Tjon propagator to the three-nucleon problem use unnecessary nonrelativistic approximations which do not simplify the computational task, but violate constraints of relativistic unitarity and/or covariance.
Cite
@article{arxiv.nucl-th/9306009,
title = {Relativistic three-particle scattering equations},
author = {Sadhan K. Adhikari and Lauro Tomio and T. Frederico},
journal= {arXiv preprint arXiv:nucl-th/9306009},
year = {2008}
}
Comments
5pages, text and one ps figure (in revtex) included