Coulomb-modified nuclear scattering. II

Abstract

Exact analytical expressions for the off-shell Jost function fl(k, q) for the Coulomb and Coulomb-distorted nuclear potentials are constructed in terms of the sum of Gaussian hypergeometric functions by using an integral representation for fl(k, q) given by Fuda. It is pointed out that the hypergeometric functions which occur here can be generated by the use of a well-known three-term recurrence relation. With van Haeringen our expressions for fl(k, q) exhibit discontinuity in the on-shell limit q→k. This discontinuous behavior has been attributed to the long range nature of the Coulomb force.