The Wilson Renormalisation Group Applied to the Potential in NN Scattering

Details The Wilson Renormalisation Group Applied to the Potential in NN Scattering The Wilson Renormalisation Group Applied to the Potential in NN Scattering

1998-08-24

arxiv.org/abs/hep-ph/9808398v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages (RevTeX), Talk given by K. Richardson at The 11th Summer School and Symposium on Nuclear Physics (NuSS'98) ``Effectiv

Scientific paper

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.

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