Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-09-09
Phys.Rev.Lett. 82 (1999) 463-467
Physics
Nuclear Physics
Nuclear Theory
5 pages, RevTex, 4 PS figures included with epsf.sty, some clarifying comments added, version to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.82.463
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.
Bedaque Paulo F.
Hammer Hans-Werner
Kolck Ubirajara van
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