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

1999-11-15

arxiv.org/abs/nucl-th/9911048v1

PiN Newslett.15:280-283,1999

Physics

Nuclear Physics

Nuclear Theory

9 pages (LaTeX, aipproc), 1 figure (epsf); talk presented at the International Workshop on Hadron Physics "Effective Theories

Scientific paper

10.1063/1.1303016

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.

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