TITLE

A renormalisation-group treatment of two-body scattering

AUTHOR(S)
Birse, Michael C.; McGovern, Judith A.; Richardson, Keith G.
PUB. DATE
March 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p113
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
6028956

 

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