Analytical evaluation of elastic Coulomb integrals

Abstract

Indefinite integrals over the product of two Coulomb wave functions and a factor r−λ−1, λ=1,2,3,..., have been evaluated analytically. The results for these multipole integrals could be expressed again in terms of Coulomb wave functions, except for the electric quadrupole (λ=2) integral at zero angular momentum in both the incident and final channels.