The Wilson Renormalisation Group Applied to the Potential in NN Scattering
High Energy Physics - Phenomenology
2007-05-23 v1
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 defines a power counting scheme which is equivalent to the effective-range expansion.
Keywords
Cite
@article{arxiv.hep-ph/9808398,
title = {The Wilson Renormalisation Group Applied to the Potential in NN Scattering},
author = {Michael C. Birse and Judith A. McGovern and Keith G. Richardson},
journal= {arXiv preprint arXiv:hep-ph/9808398},
year = {2007}
}
Comments
11 pages (RevTeX), Talk given by K. Richardson at The 11th Summer School and Symposium on Nuclear Physics (NuSS'98) ``Effective Theories of Matter'', held in Seoul National University, June 23-26, 1998