A theory for relativistic (e, 2e) reactions

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Abstract
The five-fold differential cross section for the (e, 2e) reaction is derived using a relativistic plane-wave Born approximation. It is shown that (e, 2e) reactions with electron impact energies of a few MeV should provide a sensitive test of the wavefunctions of the inner shells of heavy elements. Calculations are presented for the K shells of gold and thorium using relativistic and non-relativistic Hartree-Fock theories. These show that relativistic effects are significant in the bound-state wavefunctions of heavy elements, and that they can be measured in a measurement of the differential cross section.

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