Proximity Potential and the Surface Energy Part of the Microscopic Nucleus-Nucleus Interaction with Skyrme Force

摘要

The surface energy obtained in the Hartree-Fock method by using the Skyrme density-dependent forces, is calculated in the Thomas-Fermi and the simple harmonic oscillator approximations. The surface energy coefficient is shown to be given within 10 percent of the empirical value. The ion-ion interaction potential based on the surface energy term alone is calculated by folding the densities of the two interacting nuclei and is compared with the proximity potential. Results of our calculation for the interaction of two exp 4 He, exp 16 O and exp 40 Ca nuclei show that the surface-folding potential is strongly attractive compared to the proximity potential. Furthermore, the surface-folding potential in Thomas-Fermi model gives no repulsion whereas in harmonic oscillator model it gives strong repulsion at large distances. (Atomindex citation 14:722976)