Nucleon-Nucleon Scattering in Effective Field Theory

Details Nucleon-Nucleon Scattering in Effective Field Theory Nucleon-Nucleon Scattering in Effective Field Theory

1999-06-25

arxiv.org/abs/nucl-th/9906077v1

Physics

Nuclear Physics

Nuclear Theory

22 pages, 8 figures, latex, Talk Presented at the Workshop on Nuclear Physics with Effective Field Theory, INT Feb. 25-26, 199

Scientific paper

I outline the effective field theory (EFT) calculation of nucleon-nucleon scattering which was recently carried out to next-to-next-to-leading order (NNLO) by Noam Shoresh and myself. In this calculation only potential pion contributions are included. These are the leading contributions from pions. A toy model was also considered in which potential pions are the only pion effects. The effective range expansion (ERE), which is valid for low energies, is used to derive matching conditions on some of the EFT couplings. Renormalization group flow analysis is used to fix the rest of the couplings leaving no free parameters at NNLO.

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