Isoscalar Giant Resonances and Landau Parameters with Density-Dependent Effective Interactions

Abstract

Discussion is given on the relations between the Landau parameters and the isoscalar giant (quadrupole- and monopole-) resonance energies by using general density-dependent interactions. In the limit of infinite nuclear matter, the isoscalar giant quadrupole energy is shown to depend not only on the effective mass but also on the Landau parameter F₂. Collective energies of the isoscalar giant resonances are calculated for ¹⁶O and ⁴⁰Ca with four differnet effective interactions, G-0, B1, SIII and SV, by using the scaling- and constrained Hartree-Fock-methods. It is shown that the dependence of the collective energies on the effective interactions is essentially determined by the Landau parameters. The G-0 force is found to be most successful in reproducing the giant resonance energies. Validity of the RPA-moment theorems is examined for the case of local density-dependent interactions.