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

Journal Article · Fri Jan 01 04:00:00 EST 1999 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.82.463· OSTI ID:295556

Bedaque, P F ^[1]; Hammer, H ^[2]; van Kolck, U ^[3]; van Kolck, U ^[4]

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1. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)
2. TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (CANADA)
3. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125 (United States)
4. Department of Physics, University of Washington, Seattle, Washington 98195 (United States)

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. {copyright} {ital 1999} {ital The American Physical Society }

• DOE Contract Number: FG03-97ER41014
• OSTI ID: 295556
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 3 Vol. 82; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FIELD THEORIES
PERTURBATION THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
SCATTERING
THREE-BODY PROBLEM
ULTRAVIOLET DIVERGENCES