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We present a semi-relativistic model for the description of the ionizationprocess of atomic hydrogen by electron impact in the first Born approximationby using the Darwin wave function to describe the bound state of atomichydrogen and the Sommerfeld-Maue wave function to describe the ejectedelectron. This model, accurate to first order in $Z/c$ in the relativisticcorrection, shows that, even at low kinetic energies of the incident electron,spin effects are small but not negligible. These effects become noticeable withincreasing incident electron energies. All analytical calculations are exactand our semi-relativistic results are compared with the results obtained in thenon relativistic Coulomb Born Approximation both for the coplanar asymmetricand the binary coplanar geometries.Comment: 8 pages, 6 figures, Revte

Semirelativistic model for ionization of atomic hydrogen by electron impact