Convergence study of He2++H and He++H+charge exchange cross sections using a molecular approach with an optimised common translation factor

Abstract
A convergence study of cross sections is reported for electron transfer in He2++H and He++H+ collisions, using a molecular approach with up to ten (1 s sigma , 2 p sigma , 2 s sigma , 2 p pi ; 3 d sigma , 3 d pi , 3 p sigma , 4 f sigma , 4 f pi , 5 g sigma ) basis functions and a common translation factor (CTF) which was optimised according to the norm criterion. The energy ranges investigated are 0.75-16 keV amu-1 (He2++H) and 5-80 keV amu-1 (He++H+). Conclusions are drawn from the excellent agreement between these results and those of considerably more involved calculations with plane-wave translation factors, and the persisting small discrepancy between theoretical and measured sigma (2sHe+) cross sections is discussed.

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