Perturbative Renormalizability of Chiral Two Pion Exchange and Power Counting in Nucleon-Nucleon Scattering

Details Perturbative Renormalizability of Chiral Two Pion Exchange and Power Counting in Nucleon-Nucleon Scattering Perturbative Renormalizability of Chiral Two Pion Exchange and Power Counting in Nucleon-Nucleon Scattering

2010-09-30

arxiv.org/abs/1009.6100v1

AIP Conf.Proc.1322:205-213,2010

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures, invited talk at workshop CHIRAL'10, Valencia (Spain), June 21-24, 2010

Scientific paper

10.1063/1.3541983

We show how to renormalize chiral two pion exchange perturbatively if one pion exchange has already been fully iterated at leading order. This particular choice corresponds to the implementation of the counting proposal of Nogga, Timmermans and van Kolck at subleading orders. We illustrate why the perturbative treatment of the two pion exchange contributions is mandatory in order to avoid certain inconsistencies in Weinberg's counting. In addition, renormalizability implies modifications of the power counting which we explore for the particular case of the singlet channel.

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