Abstract
The double-scattering mechanism, introduced by Thomas (1927) within the context of ion-atom collisions, is used to interpret observed peaks in the triple differential cross section (TDCS), for high-energy (e, 2e) collisions in atoms, where the two electrons emerge from the collision with equal energies (energy-sharing reactions). As is well known the double-scattering mechanism is contained in the second Born amplitude. Quantitative comparisons are made with experiment by evaluating the scattering amplitude perturbatively, retaining terms up to second order in a Born series. Two different geometries are studied in detail, in which the TDCS for the outgoing electrons has recently been measured. They are (a) the perpendicular plane and (b) the coplanar symmetric geometry. The authors calculate the TDCS at a range of incident energies for both hydrogen and helium targets. The peaks due to double scattering are clearly observed and the theoretical TDCS compares favourably with recent experimental measurements.
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