Coupled channel operators and rearrangement scattering. I. Comparative study of one-state s-wave e-H scattering

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Abstract
Equations are derived for the amplitude density functions for the channel T matrix for rearrangement scattering. These equations are applied to electron-hydrogen atom exchange scattering. A calculation is made in the one-state approximation in which only the 1S state of hydrogen is considered. This calculation is compared with an earlier calculation using an alternate definition of the channel T matrix and with a number of other more complete s-wave calculations. The new definition of the channel T matrix is shown to be superior to the earlier definition for numerical computation. The one-state result is surprisingly accurate when compared to essentially exact variational results. This exceptional accuracy with such a limited basis is attributed to the fact that the formalism explicitly includes both the direct and the rearrangement channel descriptions.