Nucleon-Nucleon Scattering from Effective Field Theory

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Abstract
We perform a nonperturbative calculation of the 1S0 nucleon-nucleon scattering amplitude, using an effective field theory (EFT) expansion. We use dimensional regularization throughout, and the MS-bar renormalization scheme; our final result depends only on physical observables. We show that the EFT expansion of the real part of the inverse of the Feynman amplitude converges at momenta much greater than the scale that characterizes the derivative expansion of the EFT Lagrangian. Our conclusions are optimistic about the applicability of an EFT approach to the quantitative study of nuclear matter.

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