Asymptotic effective potentials for electron-hydrogen scattering

The asymptotic effective potential for electron- or positron-hydrogen elastic scattering is derived, correct to order x-7, using the Feshbach optical potential (1962) as a starting point in the manner of Kleinman et al. (1968). To order x-6 the potential agrees with the close-coupling result of Seaton and Steenman-Clark (1977) but not to order x-7, where the present calculation gives the result +or-213/2x7 for electron and positron respectively. This coefficient differs considerably from the approximate value of Seaton and Steenman-Clark, and the discrepancy is traced to the omission of d states in their calculation.