dorsal/arxiv
View SchemaA renormalisation-group treatment of two-body scattering
| Authors | Michael C. Birse, Judith A. McGovern, Keith G. Richardson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9911048 |
| URL | https://arxiv.org/abs/nucl-th/9911048 |
| DOI | 10.1063/1.1303016 |
| Journal | PiN Newslett.15:280-283,1999 |
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.
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"abstract": "A Wilsonian renormalisation group is used to study nonrelativistic two-body\nscattering by a short-ranged potential. We identify two fixed points: a trivial\none and one describing systems with a bound state at zero energy. The\neigenvalues of the linearised renormalisation group are used to assign a\nsystematic power-counting to terms in the potential near each of these fixed\npoints. The expansion around the nontrivial fixed point is shown to be\nequivalent to the effective-range expansion.",
"arxiv_id": "nucl-th/9911048",
"authors": [
"Michael C. Birse",
"Judith A. McGovern",
"Keith G. Richardson"
],
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"nucl-th"
],
"doi": "10.1063/1.1303016",
"journal_ref": "PiN Newslett.15:280-283,1999",
"title": "A renormalisation-group treatment of two-body scattering",
"url": "https://arxiv.org/abs/nucl-th/9911048"
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