Effective 2-body interaction based on Extended-Skyrme force

Basing the effective nucleon-nucleon force in nuclei on the experimental global parameters of nuclei over the mass, range of 4He to nuclear matter has been under study for many years. In this work, we emphasize the global constraints of binding energy, size, and the Hartree-Fock (saturation) condition for 4He, 16O, and 40Ca. For symmetric nuclear matter, we also include the effective mass and the incompressibility. We are parameterizing the effective nucleon-nucleon interaction using the form of the Extend-Skyrme force which includes a finite-range density dependence. For 4He, we have found that we must go beyond the mean-field approximation. This will be discussed along with the results of large-basis shell model calculations using the Extended-Skyrme force