First Order Relativistic Three-Body Scattering
Abstract
Relativistic Faddeev equations for three-body scattering at arbitrary energies are formulated in momentum space and in first order in the two-body transition-operator directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is incorporated within the framework of Poincare invariant quantum mechanics, and presented in some detail. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated up to projectile energies of 1 GeV. The influence of kinematic and dynamic relativistic effects on those observables is systematically studied. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.
Cite
@article{arxiv.nucl-th/0702005,
title = {First Order Relativistic Three-Body Scattering},
author = {T. Lin and Ch. Elster and W. N. Polyzou and W. Gloeckle},
journal= {arXiv preprint arXiv:nucl-th/0702005},
year = {2008}
}
Comments
26 pages, 13 figures