Self-consistent semiclassical calculation with extended Skyrme forces and the properties of giant resonances

Using the semiclassical approach to the Skyrme-HF energy density, one obtains the energy density functional H ( rho n , rho p ) for a nucleon system. The variational calculation of this functional, under the condition of fixed nucleon number, results in a self-consistently determined nuclear ground state from which the nuclear giant resonances (GR) are studied using a sum rule approach. The moment of strength function, the centroid energy and the isospin properties of GR are calculated. All the results are in good agreement with experimental results and detailed HF+RPA ones.