Electron-impact ionization cross section of rubidium

Yong-Ki Kim, Jacek Migdałek, Wojciech Siegel, and Jacek Bieroń
Phys. Rev. A 57, 246 – Published 1 January 1998
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Abstract

A theoretical model for electron-impact ionization cross section has been applied to Rb and the theoretical cross section (from the threshold to 1 keV in incident energy) is in good agreement with the recent experimental data obtained using Rb atoms trapped in a magneto-optical trap. The theoretical model, called the binary-encounter–dipole (BED) model, combines a modified Mott cross section with the high-energy behavior of Born cross sections. To obtain the continuum dipole oscillator strength df/dE of the 5s electron required in the BED model, we used Dirac-Fock continuum wave functions with a core polarization potential that reproduced the known position of the Cooper minimum in the photoionization cross section. For inner-shell ionization, we used a simpler version of df/dE, which retained the hydrogenic shape. The contributions of the 4p4d, 5s, and 5p autoionizing excitations were estimated using the plane-wave Born approximation. As a by-product, we also present the dipole oscillator strengths for the 5snp1/2 and 5snp3/2 transitions for high principal quantum numbers n near the ionization threshold obtained from the Dirac-Fock wave functions with the same core polarization potential as that used for the continuum wave functions.

  • Received 12 June 1997

DOI:https://doi.org/10.1103/PhysRevA.57.246

©1998 American Physical Society

Authors & Affiliations

Yong-Ki Kim

  • National Institute of Standards and Technology, Gaithersburg, Maryland 20899

Jacek Migdałek and Wojciech Siegel

  • Institute of Physics and Computer Science, Cracow Pedagogical University, 30-084 Kraków, Poland

Jacek Bieroń

  • Institute of Physics, Jagellonian University, 30-059 Kraków, Poland

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Vol. 57, Iss. 1 — January 1998

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