Simplified Resonating-Group Method for Light-Ion Scattering

Abstract

A simplified version of the resonating-group method, called model K, is discussed. In this model, the simplifications made are to approximate recoil effects and to take only the direct and the knockon-exchange terms into explicit consideration. It is a microscopic model for nucleus + nucleus scattering which works well in situations where the scattering energy is relatively high, and medium and heavy-weight target nuclei are involved. Applications of this model to s-shell-ion scattering show that, with the addition of a phenomenological imaginary potential into the formulation, good fits to experimental data can be achieved with only minor parameter adjustments. The properties of the internuclear local potential, equivalent to the model-K nonlocal interaction through the WKB procedure, have also been studied. Here it is found that the energy dependence of the empirically determined local potential can be largely accounted for by a proper consideration of exchange effects inherent in calculations employing totally antisymmetric wave functions.