dorsal/arxiv
View SchemaRenormalization of the Three-Body System with Short-Range Interactions
| Authors | P. F. Bedaque, H. -W. Hammer, U. van Kolck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9809025 |
| URL | https://arxiv.org/abs/nucl-th/9809025 |
| DOI | 10.1103/PhysRevLett.82.463 |
| Journal | Phys.Rev.Lett. 82 (1999) 463-467 |
Abstract
We discuss renormalization of the non-relativistic three-body problem with short-range forces. The problem becomes non-perturbative at momenta of the order of the inverse of the two-body scattering length, and an infinite number of graphs must be summed. This summation leads to a cutoff dependence that does not appear in any order in perturbation theory. We argue that this cutoff dependence can be absorbed in a single three-body counterterm and compute the running of the three-body force with the cutoff. We comment on relevance of this result for the effective field theory program in nuclear and molecular physics.
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"abstract": "We discuss renormalization of the non-relativistic three-body problem with\nshort-range forces. The problem becomes non-perturbative at momenta of the\norder of the inverse of the two-body scattering length, and an infinite number\nof graphs must be summed. This summation leads to a cutoff dependence that does\nnot appear in any order in perturbation theory. We argue that this cutoff\ndependence can be absorbed in a single three-body counterterm and compute the\nrunning of the three-body force with the cutoff. We comment on relevance of\nthis result for the effective field theory program in nuclear and molecular\nphysics.",
"arxiv_id": "nucl-th/9809025",
"authors": [
"P. F. Bedaque",
"H. -W. Hammer",
"U. van Kolck"
],
"categories": [
"nucl-th",
"hep-ph",
"physics.atm-clus"
],
"doi": "10.1103/PhysRevLett.82.463",
"journal_ref": "Phys.Rev.Lett. 82 (1999) 463-467",
"title": "Renormalization of the Three-Body System with Short-Range Interactions",
"url": "https://arxiv.org/abs/nucl-th/9809025"
},
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