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

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arxiv nucl-th/9809025 v2 pith:3D4JEPTQ submitted 1998-09-09 nucl-th hep-phphysics.atm-clus

P.F. Bedaque (INT) , H.-W. Hammer (TRIUMF) , U. van Kolck (Caltech , U. of Washington) This is my paper
classification nucl-thhep-phphysics.atm-clus
keywords three-bodycutoffdependenceorderproblemrenormalizationshort-rangetheory
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 7 Pith papers

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