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Pairing matrix elements and pairing gaps with bare, effective, and induced interactions

Pairing matrix elements and pairing gaps with bare, effective, and induced interactions

The dependence on the single-particle states of the pairing matrix elements of the Gogny force and of the bare low-momentum nucleon-nucleon potential ${v}_{\mathrm{low}\text{\ensuremath{-}}k}$---designed so as to reproduce the low-energy observables avoiding the use of a repulsive core---is studied for a typical finite, superfluid nucleus ($^{120}\mathrm{Sn}$). It is found that the …