New Skyrme interaction parameters for a unified description of the nuclear properties

Abstract

The nucleon microscopic optical potential is obtained by calculating the mass operator of the one-particle Green function with an effective Skyrme interaction. The real and imaginary part potentials for finite nuclei are given by applying a local density approximation as usual, while the spin–orbit potential is further amended by using the Skyrme–Hartree–Fock approach and relativistic mean field results. The new variants of Skyrme interaction parameters are found by simultaneously fitting the characteristics of nuclear matter, the binding energy, charge radius and single-particle energy levels of double closed shell nuclei, the neutron induced reaction cross sections and polarization data. These data include the total cross sections, nonelastic sections, elastic scattering angular distributions and analyzing powers for the target mass range 24 ⩽ A ⩽ 209 with incident neutron energies below 100 MeV. Further, the Landau parameters are considered to describe the properties of an excited state. The obtained variants of Skyrme forces are used to predict the neutron–actinide reactions with incident energies below 100 MeV. It is found that the calculations can give a satisfactory description of the experimental data. Analogous calculations by the new Skyrme forces are performed to predict the proton induced reactions, which also yield reasonable results.