Poincar\'e Invariant Three-Body Scattering at Intermediate Energies
Abstract
The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. The equation is solved through Pad\'e summation, and the numerical feasibility and stability of the solution is demonstrated. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincar\'e group on the three-nucleon Hilbert space. Based on a Malfliet-Tjon type interaction, observables for elastic and break-up scattering are calculated for projectile energies in the intermediate energy range up to 2 GeV, and compared to their nonrelativistic counterparts. The convergence of the multiple scattering series is investigated as a function of the projectile energy in different scattering observables and configurations. Approximations to the two-body interaction embedded in the three-particle space are compared to the exact treatment.
Cite
@article{arxiv.0801.3210,
title = {Poincar\'e Invariant Three-Body Scattering at Intermediate Energies},
author = {T. Lin and Ch. Elster and W. N. Polyzou and H. Witala and W. Gloeckle},
journal= {arXiv preprint arXiv:0801.3210},
year = {2008}
}
Comments
16 pages, 13 figures