Effective Theory for the non-relativistic three-body System

Details Effective Theory for the non-relativistic three-body System Effective Theory for the non-relativistic three-body System

1998-11-13

arxiv.org/abs/nucl-th/9811047v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 PS figures, uses sprocl.sty, psfig.sty, Talk given at Baryons 98, Bonn, Sept. 22-26, 1998

Scientific paper

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.

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