Abstract
We discuss renormalization of the nonrelativistic three-body problem with short-range forces. The problem becomes nonperturbative 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 the relevance of this result for the effective field theory program in nuclear and molecular physics.
Original language | English (US) |
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Pages (from-to) | 463-467 |
Number of pages | 5 |
Journal | Physical review letters |
Volume | 82 |
Issue number | 3 |
DOIs | |
State | Published - 1999 |
Externally published | Yes |
ASJC Scopus subject areas
- General Physics and Astronomy