Simplified variational method forP-wave electron-hydrogen scattering

Abstract

The simplified Kohn-Feshbach variational method is used to study the phase shifts for the $P$-wave electron-hydrogen system. Unlike earlier calculations where the curve fitting is used to calculate the width and the shift for a resonance state, we obtained these quantities by direct integration. This permits us to study the variation of $\Gamma \mathrm{}\left(E\right)\mathrm{}$ and $\Delta \mathrm{}\left(E\right)\mathrm{}$ in the resonance region and a well-defined resonance energy position can be found. In the elastic region we obtained two resonances each for triplet and singlet states. These resonance positions compare favorably with previous accurate calculations.