Off-shell T matrix for Coulomb plus simple separable potentials for all l in closed form

Abstract

We derive simple exact analytic expressions for the off-shell T matrices associated with potentials consisting of the sum of the Coulomb potential and any so-called simple separable potential, for all partial waves. Such potentials play an important role in model calculations for the description of the interaction between charged particles, e.g., protons. We also derive some interesting properties of the Coulomb-modified form factors associated with the form factors of the separable potentials. The analytic expressions obtained are useful for theoretical and numerical applications.