Nucleon-Nucleon Scattering from Effective Field Theory

Authors:
  • DKDavid B. Kaplan
    David B. Kaplan
  • MSMartin J. Savage
    Martin J. Savage
  • MWMark B. Wise
    Mark B. Wise
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Abstract
We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers of the pion mass. We use dimensional regularization throughout and the MS-bar subtraction scheme; our final result depends only on physical observables. We show that the EFT expansion of the quantity |p|cot delta(p) 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.