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.

19 pages, 4 figures

References in corpus (5)

• Chiral Perturbation Theory and Baryon Properties
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering
• Measuring a Kaluza-Klein radius smaller than the Planck length