Effective interactions and long distance symmetries in the Nucleon-Nucleon system

Details Effective interactions and long distance symmetries in the Nucleon-Nucleon system Effective interactions and long distance symmetries in the Nucleon-Nucleon system

2010-09-16

arxiv.org/abs/1009.3149v2

AIP Conf.Proc.1322:483-487,2010

Physics

Nuclear Physics

Nuclear Theory

Typos corrected. Contributed Talk at Chiral10 Workshop, 21-24 Jun 2010, Valencia, Spain

Scientific paper

10.1063/1.3542031

Effective interactions, when defined in a coarse grained sense, such as Vlowk at the scale 450 MeV, display a remarkable symmetry pattern. Serber symmetry works with high accuracy for spin triplet states. Wigner SU(4) spin-isospin symmetry with nucleons in the fundamental representation works only for even partial waves exactly as predicted by large Nc limit of QCD with accuracy O(1/Nc^2). This suggests tailoring the very definition of effective interactions to provide a best possible fulfillment of long distance symmetries. With the Vlowk definition Wigner symmetry requires that chiral potentials have low cut-offs (450 MeV). Perturbative saturation of heavy mesonic resonances does not faithfully display the Serber symmetry pattern.

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