Approximative treatment of the Coulomb exchange interaction of clusters

Abstract

In case of the p-~ system, the Coulomb exchange potential of the resonating group model and of the fish bone optical model are compared with each other. It is seen that the difference between the two approximations arises mainly from the unrealistic shortdistance behaviour of the proton-proton eZ/r potential, which has been assumed in both models. In case of the c~-~60 system, it is demonstrated that the importance of the Coulomb exchange potential can be very much reduced by an off-shell transformation.

The two- and three-cluster fish bone model with saturation

“…The exchange interaction arising from long-ranged microscopic potentials, such as the Coulomb potential, is rather accurately reproduced by the dominant part [10]. In the fish bone optical model, information on the Pauli effect is taken over from the resonating group model only by the dominant part of the resonating group exchange kernel R u.…”