  We present a new Skyrme energy density functional (EDF) named SAMi [Phys.
Rev. C 86 031306(R)]. 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 one
side, the two-component spin-orbit potential needed for describing different
proton high-angular momentum spin-orbit splitings and, on the other side, the
careful description of the empirical hierarchy and positive values found in
previous analysis of the spin (G_0) and spin-isospin (G_0^') Landau-Migdal
parameters: 0 < G_0 < G_0^', a feature that many of 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 (SDR) and
the Isobaric Analog Resonance (IAR) as well as for the non charge-exchange
Isoscalar Giant Monopole (ISGMR) and Isovector Giant Dipole (IVGDR) and
Quadrupole Resonances (IVGQR).
