Screening effects and total cross sections of single, double and triple ionization of neon by fast electrons

Defrance, Pierre;Jureta, Jozo;Kereselidze, Tamaz;Lecointre, Julien;Machavariani, Z. S.
(2009) Journal of Physics B: Atomic, Molecular and Optical Physics — Vol. 42, n° 2 (2009)

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Authors
  • Defrance, Pierreorcid-logoUCLouvain
    Author
  • Jureta, JozoUCLouvain
    Author
  • Kereselidze, TamazUCLouvain
    Author
  • Lecointre, JulienUCLouvain
    Author
  • Machavariani, Z. S.
    Author
Abstract
The Bethe-Born theory is applied to estimate the effective charges experienced by the ejected electrons at single, double and triple ionization of neon by fast electrons. The expansion coefficients appearing in the asymptotic expressions for total cross sections sigma(n+) similar to[a(n+) In(E-i/In+) + b(n+)]/E-i are determined by fitting to these expressions the experimental data for single and multiple ionization of neon. Coefficients a(n+) and b(n+) are seen to decrease exponentially with increasing number of ejected electrons. Empirical formulae are found to describe this behaviour. Analytical expressions for coefficients a(n+) are derived within the Bethe-Born approximation for single, double and triple ionization of neon. The effective charges are determined by assuming that the derived analytical expressions for a(n+) can be reduced to the empirical formula. It is shown that, in order to obtain the reasonable values for the effective charges, coefficient b(n+) should be taken into consideration. It is also revealed that the inclusion of interaction between the ejected electrons in the final state in calculation improves the results.
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Citations

Defrance, P., Jureta, J., Kereselidze, T., Lecointre, J., & Machavariani, Z. S. (2009). Screening effects and total cross sections of single, double and triple ionization of neon by fast electrons. Journal of Physics B: Atomic, Molecular and Optical Physics, 42(2). https://doi.org/10.1088/0953-4075/42/2/025202 (Original work published 2009)