Nuclear structure calculations using momentum-dependent delta interactions (MDD)

Abstract

The ground-state properties of a nucleus have been investigated using momentum- and density-dependent δ-interactions. Unlike the Skyrme type of interaction, the two-body interaction used has terms dependent on the fourth power of the relative momenta. The role of these new terms has been investigated by using the density-matrix expansion technique of Negele and Vautherin. The interaction has been used to calculate, amongst other phenomena, the ion-ion interaction potential and the nucleon-nucleus optical potential. The improvements obtained using such an interaction over the Skyrme II type of interactions (which have small odd state components) are discussed in detail. It is shown that the effective mass, m ∗ , is larger in magnitude than obtained by using the Skyrme II type of interaction. It has been suggested that such interactions could be more appropriate than the Skyrme type of interactions in physical situations where large momentum transfers are involved.