The Coulomb Green's Function in the Theory of One-Electron Charge Exchange

Abstract

Our work is devoted to the theoretical study of the single-electron charge exchange process during collisions of multiply charged ions with atoms or molecules of the target. To describe the single-electron charge exchange process we use semi-classical eikonal approximation, which takes into account the screening of the core of the incident multi-charged ion. The summation of the spectrum of degenerate finite states is carried out using the technique of the Coulomb Green's function. We explored the influence of the shielding effects of the incident ion on the cross section of single-electron capture in fast ion-atomic collisions, which affect both the value of cross sections, and the nature of their dependence on the collision energy. Calculations of the charge exchange cross sections for hydrogen atoms on carbon, nitrogen and oxygen ions have been performed, and their comparison with experimental data has been carried out.