New Skyrme energy density functional for a better description of the Gamow–Teller resonance

Abstract

We present a new Skyrme energy density functional named SAMi []. This interaction has been accurately calibrated to reproduce properties of doubly magic nuclei and infinite nuclear matter. The novelties introduced in the model and fitting protocol of SAMi are crucial for a better description of the Gamow–Teller resonance (GTR). Those are, on the one hand, the two-component spin–orbit potential needed for describing different proton high-angular momentum spin–orbit splittings and, on the other hand, the careful description of the empirical hierarchy and positive values found in previous analysis of the spin (G0) and spin–isospin (G0′) Landau–Migdal parameters: 0 < G0 < G0′, a feature that many of the available Skyrme forces fail to reproduce. When employed within the self-consistent Hartree–Fock plus random phase approximation, SAMi produces results on ground and excited state nuclear properties that are in good agreement with experimental findings. This is true not only for the GTR, but also for the spin dipole resonance and the isobaric analogue resonance as well as for the non-charge-exchange isoscalar giant monopole and isovector giant dipole and quadrupole resonances.