A renormalisation-group treatment of two-body scattering

Details A renormalisation-group treatment of two-body scattering A renormalisation-group treatment of two-body scattering

1998-07-09

arxiv.org/abs/hep-ph/9807302v3

Phys.Lett. B464 (1999) 169-176

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages (RevTeX), 1 figure (epsf); picture of RG flow and more discussion of momentum dependence added

Scientific paper

10.1016/S0370-2693(99)00991-0

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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