e+−HCollisions by the Faddeev Approach

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Abstract
The positron-hydrogen collision problem has been investigated by the Faddeev formalism as used by Sloan and Moore. The cross sections for the elastic scattering and the positronium formation have been calculated above the positronium-formation threshold for the incident positron energy up to 1.36 keV, and the results have been compared with those of other theoretical calculations. Appreciable differences have been found between the present results for the elastic-scattering cross sections and the corresponding results obtained by the first-order Born approximation at energies as high as the order of keV. The proton-positronium elastic-scattering cross sections are also reported. These cross sections which vanish in the first-order Born approximation are found to be significant at low incident proton energies.