Abstract

Introduction. The capture of an electron by multi-charge ions is one of the main processes that plays an important role in the energy balance of high-temperature plasma. To estimate the radiation flux of the excited ions that arise, it is necessary to know the cross sections of the capture of the electron as a function of the collision energy. And in some cases, it is very useful to know the dependence of the probabilities of bound-bound and bound-free transitions from the impact parameter.
Purpose. Research the Coulomb charge exchange process of a naked or screened ion on an oriented molecule or a molecular ion. Make a calculations of the probabilities and cross sections of electron capture of a hydrogen molecular ion by multi-charged ions, which have an arbitrary number of residual electrons. 
Methods. To describe the single-electron charge exchange process we use OBK-approximation. To calculate the probabilities and cross sections for charge exchange reactions, summed over all finite states of the projectile, a method of Green's functions were developed. 
Results. We obtained formulas, which allow us to describe the cross-section of one-electron capture from an oriented molecular ion. The meaning of these formulas is that they allow a qualitative estimate of the dependence of charge exchange cross sections on the multicenter character of the distribution of electron density in molecular objects. 
Conclusion. The application of the developed theory is demonstrated by the example of numerical calculations of charge exchange cross sections of protons on a longitudinally oriented (in relation to the velocity vector) hydrogen molecular ion. In the investigated range of energies, electron is most likely to be absorbed into the ground state of the hydrogen atom; the share of excited states accounts for no more than 10% of the total cross-sectional value

Keywords: OBK-approximation, Green's function, charge exchange reaction, molecular ion, electron

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