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CROSS SECTIONS FOR RADIATIVE RECOMBINATION AND THE PHOTOELECTRIC EFFECT IN THE K, L, AND M SHELLS OF ONE-ELECTRON SYSTEMS WITH 1 ≤ Z ≤ 112 CALCULATED WITHIN AN EXACT RELATIVISTIC DESCRIPTION by Akira Ichihara; Jörg Eichler is a Physics and Astronomy article available to read on EtoBox.
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An extensive tabulation of total cross sections for radiative recombination and, consequently, for the photoelectric effect of hydrogenlike ions with charge numbers 1 Յ Z Յ 112 is presented for the K, L, and M shells and electron energies ranging from closely above the threshold to the relativistic regime. The cross sections, accurate to three digits, are based on fully relativistic calculations including the effects of the finite nuclear size and all multipole orders of the photon field. The cross sections for radiative recombination are displayed as a function of the electron energy. By a simple scaling, the dependence on the projectile energy in MeV/u can be derived for accelerator experiments, and, by using elementary formulas, the cross section for the photoelectric effect is obtained as a function of the photon energy. Furthermore, it is pointed out how to scale the cross sections for the capture of heavy Dirac particles. In order to assess the accuracy of cross sections derived from the widely used nonrelativistic dipole approximation, we present a comparison with exact relativistic results for a few representative cases.
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- Author
- Akira Ichihara; Jörg Eichler
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0092-640X)
- Published
- 2000
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)