A renormalisation-group treatment of two-body scattering
High Energy Physics - Phenomenology
2009-10-31 v3 Condensed Matter
High Energy Physics - Theory
Nuclear Theory
Abstract
Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the linearised renormalisation group are used to assign a systematic power-counting to terms in the potential near each of these fixed points. The expansion around the nontrivial fixed point is shown to be equivalent to the effective-range expansion.
Keywords
Cite
@article{arxiv.hep-ph/9807302,
title = {A renormalisation-group treatment of two-body scattering},
author = {Michael C. Birse and Judith A. McGovern and Keith G. Richardson},
journal= {arXiv preprint arXiv:hep-ph/9807302},
year = {2009}
}
Comments
6 pages (RevTeX), 1 figure (epsf); picture of RG flow and more discussion of momentum dependence added