Elastic positron—hydrogen-molecule scattering using the eikonal approximation

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Abstract
An eikonal approximation has been used to investigate the elastic positron-hydrogen-molecule scattering problem. The effective potential used here includes the static as well as the polarization potentials. The spherical and the nonspherical parts of both potentials are taken into consideration. The results have been obtained from 0.1 to 50 eV. The results for the elastic cross section are found to be very close to the experimental findings below the positronium-formation threshold. The effect of the polarization potential is found to be appreciable even up to 50 eV.