Shell-model calculations with a skyrme-type effective interaction

Shell-model calculations for the s-d shell nuclei and Sn isotopes are performed using Hartree-Fock wave functions and two-body matrix elements based upon the SGII Skyrme-type density-dependent interaction. We reproduce the spectra of several nuclei from the beginning to the end of the s-d shell. The experimental pairing gaps for the Sn isotopes are also obtained from calculations in the generalized seniority scheme using the same interaction. We find that the lower power of the density dependence associated with the SGII interaction is essential for obtaining realistic energy spectra in this wide range of mass.