Coulomb-distorted plane wave: partial wave expansion and asymptotic forms
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 2F2(a,a;a+l+1,a-l;z) is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of 2F2(a,a;a+l+1,a-l;z) is simplified.
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