A renormalisation-group treatment of two-body scattering

Birse, Michael C.; McGovern, Judith A.; Richardson, Keith G.
March 2000
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p113
Academic Journal
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. © 2000 American Institute of Physics.


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