NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model

Details NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model NNLO Calculation of Two-Nucleon Scattering in EFT for a Two Yukawa Toy Model

1999-02-26

arxiv.org/abs/nucl-th/9902077v3

Phys.Rev. C60 (1999) 054004

Physics

Nuclear Physics

Nuclear Theory

24 pages, 11 EPS figures, revtex; typos in formulae corrected; More typos corrected, expressions in appendix added, minor chan

Scientific paper

10.1103/PhysRevC.60.054004

The effective field theory (EFT) for a toy model of nucleons interacting via a short range and a long range Yukawa potential is presented. The scattering amplitude in the 1S0 channel is calculated up to NNLO using KSW power counting scheme. A particular expansion of the amplitude about the pole at low (imaginary) momentum is used to derive matching conditions for the EFT couplings. In addition, after imposing constraints from a Renormalization Group analysis, there are no new free parameters in the amplitude at NNLO. Comparing the NNLO phase shifts to the full model we show that the EFT expansion is converging.

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