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Hidden crossing theory of charge exchange in H+ + He+(1s) collisions in vicinity of maximum of cross section

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Abstract

Within the framework of dynamical adiabatic approach the hidden crossing theory of inelastic transitions is applied to charge exchange in H+ + He+(1s) collisions in the wide range of center of mass collision energies Ecm = (1.6–70) keV. The good agreement with experiment and molecular close coupling calculations is obtained. At low energies our 4-state results are closest to the experiment and correctly reproduce the shoulder in energy dependence of the cross section around Ecm = 6 keV. The 2-state results correctly predict the position of the maximum of the cross section at Ecm ≈ 40 keV, whereas 4-state results fail to correctly describe the region around the maximum. The reason for this is the fact that adiabatic approximation for a given two-state hidden crossing is applicable for values of the Schtueckelberg parameter >1. But with increase of principal quantum number N the Schtueckelberg parameter decreases as ~N−3. That is why the 4-state approach involving higher excited states fails at smaller collision energies Ecm ≈ 15 keV, while the 2-state approximation which involves low lying states can be extended to higher collision energies.

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Authors and Affiliations

  1. Institute of Physics, University of Belgrade, Pregrevica 118, 11080, Belgrade, Serbia

    Tasko P. Grozdanov

  2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia

    Evgeni A. Solov’ev

Authors
  1. Tasko P. Grozdanov
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  2. Evgeni A. Solov’ev
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Correspondence to Tasko P. Grozdanov.

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Grozdanov, T.P., Solov’ev, E.A. Hidden crossing theory of charge exchange in H+ + He+(1s) collisions in vicinity of maximum of cross section. Eur. Phys. J. D 72, 64 (2018). https://doi.org/10.1140/epjd/e2018-80758-x

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  • DOI: https://doi.org/10.1140/epjd/e2018-80758-x

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