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Two-state curve crossing processes involving rotational coupling in the Na +2 molecular ion

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Zeitschrift für Physik A Atoms and Nuclei

Abstract

We examine the relative utility of the Landau-Zener, phase integral, and semiclassical Magnus approximations for processes involving a real crossing of two potential curves. As an example we consider rotational coupling in Na +2 . Numerical calculations for the ¦3p〉→¦3s〉 quenching process and for ¦3p〉→¦3d〉 excitation agree well with recent experiments in the energy range 20 eV≦EK≦50 eV. Simple expressions forS-matrix elements, differential and total cross sections in these approximations depend only on accurate evaluation of a few JWKB phases. For the total cross section further simplification of the Magnus results yields a useful semiempirical formula.

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Authors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, Germany

    H. J. Korsch

  2. Fachbereich Chemie, Universität Kaiserslautern, Germany

    R. J. Allan

Authors
  1. R. J. Allan
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  2. H. J. Korsch
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Additional information

The authors wish to acknowledge financial support under the Deutsche Forschungsgemeinschaft SFB 91 “Energy transfer in atomic and molecular collisions”. We also thank Dr. Ruth Möhlenkamp who took part in frequent discussions. The log-derivative program was written by Dr. K.-E. Thylwe during his stay in Kaiserslautern.

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Allan, R.J., Korsch, H.J. Two-state curve crossing processes involving rotational coupling in the Na +2 molecular ion. Z Physik A 320, 191–205 (1985). https://doi.org/10.1007/BF01881267

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  • DOI: https://doi.org/10.1007/BF01881267

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