Chiral potentials, perturbation theory, and the 1S0 channel of NN scattering

Abstract

We use nucleon-nucleon phase shifts obtained from experimental data, together with the chiral expansion for the long-distance part of the NN interaction, to obtain information about the short-distance piece of the NN potential that is at work in the 1S0 channel. We find that if the scale R that defines the separation between "long-" and "short-" distance is chosen to be \lsim 1.8 fm then the energy dependence produced by short-distance dynamics is well approximated by a two-term polynomial for Tlab < 200 MeV. We also find that a quantitative description of NN dynamics is possible, at least in this channel, if one treats the long-distance parts of the chiral NN potential in perturbation theory. However, in order to achieve this we have to choose a separation scale R that is larger than 1.0 fm.

arXiv comment19 pages, 4 figures

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• Modern Theory of Nuclear Forces
• Perturbative renormalizability of chiral two pion exchange in nucleon-nucleon scattering
• Perturbative Renormalizability of Chiral Two Pion Exchange in Nucleon-Nucleon Scattering: P- and D-waves
• Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
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