Abstract
A method for obtaining the exchange scattering amplitude for electron-impact ionization of atomic hydrogen in the eikonal approximation is developed. The expression for the eikonal amplitude in the present case turns out to be a two-dimensional integral which can be evaluated numerically with convenience. This exchange amplitude can be combined with the corresponding direct amplitude to calculate both differential and total cross sections for electron-impact ionization of hydrogen atoms. We present numerical results for triply differential cross sections (TDCS) for the H(e,2e)${\mathrm{H}}^{+}$ process for incident energies of 150 and 250 eV. A comparison is made of the present TDCS with the corresponding results of other calculations and experiment.
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