The expression for the differential cross section obtained from the second Born approximation by including only terms to the third order in the interaction energy is employed to calculate the differential and total cross sections for the elastic scattering of electrons and positrons by hydrogen atoms. Allowance is made for both distortion and polarization by evaluating the terms which correspond to transitions through the 1s, 2s and 2p intermediate states. It is found that for electrons with impact energies below 100eV the effect of distortion and polarization is to increase the total cross section appreciably above the first Born cross section. For positrons, distortion and polarization decrease the total cross section.
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Kingston et al. (1961) studied this question.
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