Eikonal-Born series theory of (e, 2e) reactions in atomic hydrogen

The triple differential cross section for the ionisation of atomic hydrogen by fast electrons is analysed in the case of the coplanar, asymmetric geometry within the framework of the eikonal-Born series theory. Detailed calculations are performed for an incident electron energy of 250 eV, and ejected-electron energy of 5 eV and several angles of the scattered electron. The authors find that second-order effects are crucial in explaining both the positions and magnitudes of the binary and recoil peaks. Their calculations are in excellent agreement with recent absolute measurements.