Use of Coulomb-Sturmian functions in calculating scattering quantities in Coulomb-like potentials

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Abstract
An approximate solution to a scattering problem containing Coulomb and short-range potentials is presented. The method is based on a separable expansion of the short-range part of the interaction in terms of bound-state Coulomb-Sturmian functions. Similarly to the approximation based on the expansion of the scattering wave function on a scattering-state Coulomb-Sturmian basis, the method yields asymptotically correct wave functions. The convergence, however, is much faster in the potential separable-expansion method.