Coupled channel operators and rearrangement scattering. I. Comparative study of onehyphen;stateshyphen;waveehyphen;H scattering

摘要

Equations are derived for the amplitude density functions for the channelTmatrix for rearrangement scattering. These equations are applied to electronhyphen;hydrogen atom exchange scattering. A calculation is made in the onehyphen;state approximation in which only the 1Sstate of hydrogen is considered. This calculation is compared with an earlier calculation using an alternate definition of the channelTmatrix and with a number of other more completeshyphen;wave calculations. The new definition of the channelTmatrix is shown to be superior to the earlier definition for numerical computation. The onehyphen;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.