A renormalisation-group treatment of two-body scattering

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 s...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 1999-11
Main Authors: Birse, Michael C, McGovern, Judith A, Richardson, Keith G
Format: Article
Language:English
Subjects:
Eigenvalues
Scattering
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9911048