Low scale saturation of effective NN interactions and their symmetries (Q2412368)

Summary: The Skyrme force parameters can be uniquely determined by coarse graining the Nucleon-Nucleon (NN) interactions at a characteristic momentum scale. We show how exact \(V_{\mathrm{low k}}\) potentials to second order in momenta are saturated with physical NN scattering threshold parameters at Center of Mass (CM) cut-off scales of about \(\Lambda=250\) MeV for the S-waves and \(\Lambda=100\) MeV for the P-waves. The pattern of Wigner and Serber symmetries unveiled previously and suggested by Quantum Chromodynamics (QCD) large \(N_c\) contracted symmetry emerges at these scales.