1998/11/13 by H.‐W. Hammer, H. -W. Hammer, Hammer, H. -W.
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9811047
4 pages, 2 PS figures, uses sprocl.sty, psfig.sty, Talk given at Baryons 98, Bonn, Sept. 22-26, 1998
arxiv created 1998/11/13 · openalex publication_date 1998/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.