A renormalisation-group treatment of two-body scattering
Nuclear Theory
2009-12-04 v1
Abstract
A Wilsonian renormalisation group is used to study nonrelativistic two-body scattering by a short-ranged potential. We identify two fixed points: 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.nucl-th/9911048,
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:nucl-th/9911048},
year = {2009}
}
Comments
9 pages (LaTeX, aipproc), 1 figure (epsf); talk presented at the International Workshop on Hadron Physics "Effective Theories of Low Energy QCD", Coimbra, Portugal, September, 1999 (shorter version also presented at MENU'99, Zuoz, Switzerland)