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Nucleon-Nucleon Scattering from Effective Field Theory
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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.
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Incorporating dimer fields into the effective field theory resolves poles in the C-matrix from the angular momentum barrier, yielding cutoff-insensitive leading-order fits to nucleon-nucleon phase shifts up to the pio...
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