Skyrme-Landau parameterization of effective interactions. (II). Self-consistent description of giant multipole resonances

The positions and the transition strengths of giant multipole resonances (including electric, magnetic, Fermi and Gamow-Teller transitions of the spherical nuclei ¹⁶O, ⁴⁰Ca, ⁴⁸Ca, ⁹⁰Zr, ²⁰⁸Pb) are calculated using the random phase approximation based on the Hartree-Fock ground states with our new extended Skyrme-Landau interaction - SL1. The method of calculating Green function in coordinate space is extended to included spin dependence; this makes it possible to calculate M1 and Gamow-Teller transitions. The predicted resonance positions agree well with the experimental results. The Thouless sum rules are checked to within 10-15% in most cases.