Connection between deep- and shallow-type potential descriptions of elastic α particle scattering

Abstract

In order to shed light on the compatibility between the deep real l-independent phenomenological potentials used to describe elastic alpha particle scattering and microscopic fully antisymmetrised calculations, the authors have implemented a simple method making possible the explicit construction of shallow potentials, equivalent to the deep empirical ones, but free from unphysical bound states, and leading to closely similar phase shifts and to the same energies for the physical bound states. The resulting potentials are l dependent and they possess a soft repulsive core up to some critical angular momentum. The method is applied to the alpha +16O system and shown to lead to effective potentials bearing a striking qualitative resemblance to the angular-momentum-projected energy curves derived in two-centre shell-model-type microscopic approaches.