Toward a spin- and parity-independent nucleon-nucleon potential

A supersymmetric inversion method is applied to singlet neutron-proton elastic phase shifts. The resulting central potential has a one-pion-exchange (OPE) long-range behaviour and a parity-independent short-range part. It fits most singlet phase shifts well. Adding a regularized OPE tensor term also allows the reproduction of most triplet phase shifts as well as of the deuteron binding energy. The potential is thus also spin-independent (except for the OPE part). These important simplifications of the neutron-proton interaction are shown to be possible only if the potential possesses Pauli forbidden bound states, as proposed in the Moscow nucleon-nucleon model.