New Skyrme nucleon-nucleon interaction for the mean-field approximation

The effective Skyrme type interactions have been used in the mean-field models for several decades, and many different parameterizations of the interaction have been realized to better reproduce nuclear masses, radii, and various other data. Today, there are more experimental data of nuclei far from the B stability line. It is time to improve the prediction power of the Skyrme type effective nucleon-nucleon interactions. In this dissertation, we present the procedure of the fitting of the mean-field results to an extensive set of experimental data with some constraints on the Skyrme parameters and some approximations in the Hartree-Fock mean-field to obtain the parameters of the new Skyrme type effective interactions, namely, KDE and KDE0. We investigate the long-standing discrepancy of more than 20% between the values of the incompressibility coefficient Kn:m: obtained within relativistic and non-relativistic models. We show that this difference is basically due to the differences in values of the symmetry energy coefficient J and its slope L associated with the relativistic and non-relativistic models. We also present the results of fully self-consistent Hartree-Fock based Random Phase Approximation calculations for the centroid energies of the breathing modes in four nuclei, namely, 90Zr, 116Sn, 144Sm, 208Pb, obtained with our new Skyrme interaction KDE0. A good agreement with the experimental data is achieved.