Hartree–Fock Alpha Cluster Density Distributions in Light <i>A</i> = 4<i>n</i> Nuclei Using Density Dependent Effective Interactions

Abstract

Hartree–Fock calculations have been performed for the A = 4n nuclei 12 C to 40 Ca, employing a selection of density dependent effective interactions. This selection consists of two density and momentum dependent delta function interactions, similar to the Skyrme interaction, and two density and momentum dependent finite range interactions whose radial forms are given as a sum of two Gaussian functions. A basis of single-particle axially deformed harmonic oscillator functions is used. Special emphasis is given to the study of the occurrence of alpha-particle type clustering in the density distributions of light A = 4n nuclei and the influence of the strength of the one-body spin–orbit field.