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Low scale saturation of Effective NN Interactions and their Symmetries

The Skyrme force parameters can be uniquely determined by coarse graining the NN interactions at a characteristic momentum scale. We show how exact Vlowk potentials to second order in momenta are accurately and universally saturated with physical NN scattering threshold parameters at CM momentum 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 is also saturated at these scales.