Multielectron ionization of atoms by fast ions: An approximation by normalized exponentials |
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Authors: | T Kirchner H Tawara I Yu Tolstikhina A D Ulantsev V P Shevelko Th Stoehlker |
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Institution: | (1) Institut für Theoretische Physik, Clausthal-Zellerfeld, Germany;(2) Max-Planck-Institut für Kernphysik, Heidelberg, Germany;(3) Lebedev Physics Institute, Russian Academy of Sciences, Leninskiĭ pr. 53, Moscow, 119991, Russia;(4) Gubkin State University of Oil and Gas, Leninskiĭ pr. 65, 117917 Moscow, Russia;(5) Gessellschaft für Schwerionenforschung (GSI), Darmstadt, Germany |
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Abstract: | Multielectron ionization of neutral atoms by fast positive ions is considered in terms of the independent particle model. A relatively simple technique for calculating the multielectron ionization probabilities and cross sections through the impact parameter is suggested in which one-electron ionization probabilities are represented as normalized exponentials p nl(b) = p nl(b) = p nl(0)exp(?αnl b), where b is the impact parameter and n and l are quantum numbers of the target atomic shell. Exponent αnl is determined from the Born one-electron ionization cross section for target atoms, and preexponential p nl(0) (the ionization probability at a zero impact parameter) is found from a geometrical model. This technique provides the normalization condition p nl(b) ≤ 1 irrespective of the velocity and charge of striking ions and makes it possible to calculate the one-, two-, and three-electron ionization cross sections, which, when added up, make a major contribution to the total cross section, up to a factor of 2. The results of our computations are compared with experimental data and analytical results of other authors. |
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