Study On Spin-isospin Response Function By Skyrme Energy Density Functional Theory

Proper description of nuclear spin-isospin response function is investigated byimproving the spin-isospin interactions in Skyrme energy density functional. Thecalculations are performed within a fully self-consistent Skyrme Hartree-Fock (SHF)plus random phase approximation (RPA) methods. Firstly, spin-density dependentterms are added on top of standard form of Skyrme interaction to improve thenucleon-nucleon interactions in spin and isospin channels, which were proposedoriginally for solving ferromagnetic instability problems of nuclear matter appearedbeyond saturation density. It was found that the inclusion of spin-density dependentterms gives negligible contribution to the ground state of finite nuclei, while theresidual interactions from the spin-density dependent terms give substantial repulsiveeffect and shift the spin-isospin response functions of finite nuclei to higher energyregion, such as magnetic dipole giant resonance, Gamow-Teller giant resonance andcharge exchange spin dipole giant resonance. Secondly, we made an attempt to builda new Skyrme parameterization by fitting properties of finite nuclei (such as surfaceproperties, binding energy and charge radii and so on) and properties of nuclearmatter at saturation point (such as incompressibility, symmetry energy, effective mass,Landau parameters and so on). The new parameter set aims to give reasonabledescription on both the ground states and excited states of finite nuclei, especially onthe spin-isospin response functions..