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Cited by 571

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Renormalization of the Three-Body System with Short-Range Interactions

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Bedaque, P. F., Hammer, H.-W., van Kolck, U.·1999·Physical Review Letters
DOI 10.1103/physrevlett.82.463
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Abstract

We discuss renormalization of the nonrelativistic three-body problem with short-range forces. The problem becomes nonperturbative 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 the relevance of this result for the effective field theory program in nuclear and molecular physics.

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Metadata

Authors
Bedaque, P. F., Hammer, H.-W., & van Kolck, U.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1999-01-18
Volume
82
Issue
3
Pages
463-467
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.82.463
OpenAlex
W2132139479
Cited by
571
References
0
FWCI
11.60
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Renormalization of the Three-Body System with Short-Range Interactions. https://app.cochat.ai/papers/10.1103/physrevlett.82.463
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Bedaque, P. F., Hammer, H.-W., & van Kolck, U. (1999). Renormalization of the Three-Body System with Short-Range Interactions. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.463

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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