Exchange amplitudes for electron-hydrogen scattering in the Glauber approximation

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Abstract
An exact closed form expression for the Glauber-Bonham-Ochkur exchange amplitudes for electron-hydrogen scattering is derived. The results are applied to the elastic scattering from the ground state of the hydrogen atom, where a closed-form expression was also derived for the total exchange cross section. Investigation of the inclusion of exchange in the differential cross section for total electron scattering is also presented. It is shown that exchange effects are quite important and that their inclusion, rather than the inclusion of angle effect or the inclusion of the full eikonal effects, does tend to make the Glauber prediction in much better agreement with the experiment.