E-H Scattering by the Faddeev Approach

Abstract

$1s\ensuremath{-}1s$ elastic and $1s\ensuremath{-}2s$ inelastic total cross sections for $e$-H collision have been calculated with and without exchange effects using the Faddeev formalism as developed by Sloan and Moore. We have considered the effect of coupling to $1s$ and $2s$ intermediate states. Our theoretical results have been compared with the existing experimental findings and other theoretical calculations. In the intermediate-energy region, our results for the inelastic process are found to be in close agreement with the experimental observations. Our results for both systems indicate that coupling to states other than the initial and final ones causes a reduction in the cross sections, and even up to 500 eV the effect of exchange is not negligible.