A renormalisation-group approach to two-body scattering with long-range forces
Nuclear Theory
2009-11-07 v1 High Energy Physics - Phenomenology
Abstract
We apply the renormalisation-group to two-body scattering by a combination of known long-range and unknown short-range forces. A crucial feature is that the low-energy effective theory is regulated by applying a cut-off in the basis of distorted waves for the long range potential. We illustrate the method by applying it to scattering in the presence of a repulsive 1/r^2 potential. We find a trivial fixed point, describing systems with weak short-range interactions, and a unstable fixed point. The expansion around the latter corresponds to a distorted-wave effective-range expansion.
Cite
@article{arxiv.nucl-th/0108024,
title = {A renormalisation-group approach to two-body scattering with long-range forces},
author = {Thomas Barford and Michael C. Birse},
journal= {arXiv preprint arXiv:nucl-th/0108024},
year = {2009}
}
Comments
4 pages (AIP style), talk presented at Mesons and Light Nuclei, Prague, 2001