Electrostatic potentials for nucleus-nucleus optical model

Abstract

The electrostatic potential between nuclei having arbitrary charge distributions is expressed as a triple integral. For two nuclei having uniform distributions, an algebraic expression for the electrostatic potential is obtained. This is then compared with the electrostatic potentials normally used in various nucleus-nucleus optical model calculations. The results of the former are found to be significantly different from the latter. For Fermi-Fermi types of charge distributions, the nuclei may be assumed to be uniformly charged spheres without much loss of accuracy. If one of the charge distributions has either Gaussian or harmonic well shape, the triple integral is reduced to a single integral. For a number of nucleus-nucleus pairs, we have calculated the electrostatic potentials assuming them to be uniformly charged spheres and compared them with those derived from realistic charge distributions. With a proper choice of radius parameters, the former can be used to a good degree of accuracy to generate the electrostatic potential between the nuclei.NUCLEAR REACTIONS Realistic Coulomb potential for optical model.