Abstract
In the first two papers in this series, we developed a method for studying electron-hydrogen scattering that does not use partial-wave analysis. We constructed an ansatz for the wave function in both the static and static exchange approximations and calculated the full scattering amplitude. Here we go beyond the static exchange approximation, and include correlation in the wave function via a modified polarized orbital. This correlation function provides a significant improvement over the static exchange approximation: the resultant elastic scattering amplitudes are in very good agreement with fully converged partial-wave calculations for electron-hydrogen scattering. A fully variational modification of this approach is discussed in the conclusion.
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