Coulomb-distorted plane wave: partial wave expansion and asymptotic forms

I. Hornyak; A. T. Kruppa

doi:10.1063/1.4803027

paper

Coulomb-distorted plane wave: partial wave expansion and asymptotic forms

arXiv:1304.6247 · doi:10.1063/1.4803027

Abstract

Partial wave expansion of the Coulomb-distorted plane wave is determined and studied. Dominant and sub-dominant asymptotic expansion terms are given and leading order three-dimensional asymptotic form is derived. The generalized hypergeometric function $_{2} F_{2} (a, a; a + l + 1, a - l; z)$ is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of $_{2} F_{2} (a, a; a + l + 1, a - l; z)$ is simplified.

References in corpus (1)

Two-body Coulomb scattering and complex scaling