Relativistic K shell ionisation of heavy atoms by electron impact: use of a relativistic helium-like bound state wave function

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The effect of the correlation between the two K shell electrons on the relativistic triple differential cross section of the simple K shell ionisation of some heavy atoms by very energetic electrons (300, 500 keV) is studied. A relativistic first Born procedure is developed which permits the use of a variational relativistic helium-like wave function for the description of the two K shell electrons, and the introduction of the nuclear term in the perturbation potential. The results obtained by the neglect of the relativistic part of the electron-electron interaction, and thus spin flip, show the effect of the initial state correlation when compared to relativistic plane wave Born calculations. This work is a first step for future applications of many electrons relativistic models in the heavy atom e, 2e calculations.