Effective Theory for the non-relativistic three-body System
Nuclear Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.nucl-th/9811047,
title = {Effective Theory for the non-relativistic three-body System},
author = {H. -W. Hammer},
journal= {arXiv preprint arXiv:nucl-th/9811047},
year = {2007}
}
Comments
4 pages, 2 PS figures, uses sprocl.sty, psfig.sty, Talk given at Baryons 98, Bonn, Sept. 22-26, 1998