Three-body scattering in Poincar\'e invariant quantum mechanics
Nuclear Theory
2009-01-16 v1
Abstract
The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincar\'e group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincar\'e symmetry, lead to the same invariant two-body S-matrix as the corresponding non-relativistic problem, and result in a three-body S-matrix satisfying cluster properties. The resulting Faddeev equations are solved by direct integration, without partial waves for both elastic and breakup reactions at laboratory energies up to 2 Gev.
Cite
@article{arxiv.0711.1635,
title = {Three-body scattering in Poincar\'e invariant quantum mechanics},
author = {W. N. Polyzou and Ch. Elster and T. Lin and W. Glöckle},
journal= {arXiv preprint arXiv:0711.1635},
year = {2009}
}
Comments
4 pages - no figures - contribution to the 20-th European Few-Body Conference