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arXiv · hep-ph/9807302

A renormalisation-group treatment of two-body scattering

Michael C. Birse·Judith A. McGovern·Keith G. Richardson
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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.

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Michael C. Birse, Judith A. McGovern, Keith G. Richardson. 1999-07-14. A renormalisation-group treatment of two-body scattering. https://doi.org/10.1016/s0370-2693(99)00991-0

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