Eikonal exchange amplitudes

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Abstract
The exchange scattering of electrons by atomic hydrogen is considered in the eikonal approximation. The six-dimensional integrals for the "post" and "prior" forms of the eikonal exchange amplitudes are reduced to two-dimensional integral expressions. A comparison of the eikonal-exchange cross section, nonexchange Glauber, and experimental results for 50-, 100-, and 200-eV electron-hydrogen elastic scattering is given. Numerical convergence problems were not encountered in the evaluation of the scatering amplitudes and the procedure demonstrates that eikonal exchange calculations are almost as easily done as Glauber calculations in the single active electron approximation.