Renormalization of the Three-Body System with Short-Range Interactions
Nuclear Theory
2009-10-31 v2 High Energy Physics - Phenomenology
Atomic and Molecular Clusters
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.
Keywords
Cite
@article{arxiv.nucl-th/9809025,
title = {Renormalization of the Three-Body System with Short-Range Interactions},
author = {P. F. Bedaque and H. -W. Hammer and U. van Kolck},
journal= {arXiv preprint arXiv:nucl-th/9809025},
year = {2009}
}
Comments
5 pages, RevTex, 4 PS figures included with epsf.sty, some clarifying comments added, version to appear in Phys. Rev. Lett