Evaluation of electron-hydrogen ionisation amplitudes

Abstract

A method has been suggested for the numerical integration of electron-hydrogen ionisation amplitudes in the Born approximation, where the two outgoing electrons are described as the product of two Coulomb waves. Different sets of the effective charges of the scattered and ejected electrons have been considered. The expression for the amplitude has been reduced to a one-dimensional integral in real space and the results are compared with the other theoretical and experimental findings.