Nuclear Surface Properties with a Simple Effective Interaction

A simple three-part density-dependent effective interaction is used to calculate several general properties of the semiinfinite nuclear surface. This interaction, which is referred to here as the modified $\delta$ interaction (MDI), is quite similar to one introduced by Skyrme. The three parameters of the MDI are fixed by fitting the binding energy and density of infinite nuclear matter with $N=Z$ and also the ground-state energy of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, all in first-order perturbation theory.