Phenomenological Nuclear Interaction Derived from Binding Energies

Abstract

An attempt is made to clarify the basis of a formula for binding energies derived in the framework of the $j-j$ coupling shell model. Studies are made of the effect of three-body correlations, by introducing a density dependent term. It is seen that the $j-j$ coupling calculation can be suitably corrected for the many body effects. The hard-core influence is introduced as a pseudopotential. An attempt is made to fit the binding energies with a phenomenological central potential, including a density-dependent term. The best exchange mixture obtained is not far from a Serber type but includes a considerable amount of Bartlett force. When the hard core is included, the best exchange mixture becomes of the Serber type. With this potential a good fit is obtained over a large range of configurations.