Relativistic Glauber amplitudes for elastic electron and positron scattering by hydrogen atoms and hydrogen-like ions in tke ground state

A relativistic amplitude for elastic scattering of electrons and positrons by hydrogen atoms or hydrogen-like ions in the ground state is derived in the straight-line Glauber approximation without exchange terms. A small-angle approximation valid to the first order in the fine-structure constant is used for the relativistic corrections to the input amplitudes describing the scattering of the projectile by the proton and the electron of the target, and spin-flip terms are included. The results are given in closed form in terms of hypergeometric functions. (Auth)