The double-integral expression derived previously for Bryon's unrestricted Glauber approximation has been evaluated numerically to obtain scattering amplitudes for elastic collisions of electrons on hydrogen, as well as $2s$ and $2p$ excitation. The resulting values of cross sections and Ly-α polarization fractions are similar to previous Glauber calculations, but the alignment and orientation of Ly-α radiation as a function of scattering angle is markedly different from the predictions of the Born and conventional Glauber calculations.
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Gau et al. (1975) studied this question.
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