Closed-form Glauber cross sections in p-H and e−-H collisions. I

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Abstract
The Glauber predicted integrated (over scattering angle) cross section for the elastic scattering of charged particles by ground state atomic hydrogen is evaluated in closed form. The asymptotic form of the Glauber cross section for large incident particle momenta is obtained and compared with the exact first Born approximation result. The present analytic results, together with previous numerical results, indicate that (neglecting exchange) the Glauber integrated elastic scattering cross section is well represented, for both incident electrons and incident protons, by σelastic = (7/3)νi−2πa02 at essentially all incident particle speeds νi.