Finite-range separable pairing interaction within the new N3LO DFT approach

Abstract

For over four decades, the Skyrme functional within various parametrizations has been used to calculate nuclear properties. In the last few years there was a number of attempts to improve its performance and introduce generalized forms. In particular, the most general phenomenological quasi-local energy density functional, which contains all combinations of density, spin-density, and their derivatives up to the sixth order (N3LO), was proposed in [1]. Since in the phenomenological-functional approaches, the particle-particle (pp) channel is treated independently of the particle-hole (ph) channel, there remains a question of what pairing interaction is suitable to use within the N3LO energy functional. In the present study, we use the separable, finite-range, translationally invariant interaction given in [2] and we present the first test-case application of this pairing interaction within the code HOSPHE that is able to treat the N3LO energy density functional.