First-order correction to Glauber approximation for electron-hydrogen and positron-hydrogen scattering

The first realistic systematic correction to the Glauber approximation for scattering of charged particles by atoms is made, and it leads to substantial improvements for electron-hydrogen ($e^{-}-\mathrm{H}$) elastic scattering at all energies equal to or greater than 30 eV and angles (10° - 140°) for which data exist. At the lower energies and larger angles disagreement with the data persists because of limitations in the approximation. The calculations also yield $e^{+}-\mathrm{H}$ and $e^{-}-\mathrm{H}$ cross sections which differ from each other even when exchange is neglected.