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A simple correction for the Born approximation for electron impact excitation of hydrogenic ions
Jung, Young-Dae
AA(NASA, Marshall Space Flight Center, Huntsville, AL)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 725-729. (ApJ Homepage)
Publication Date:
Atomic and Molecular Physics
NASA/STI Keywords:
Born Approximation, Electron Impact, Hydrogen, Isoelectronic Sequence, Absorption Cross Sections, Continuous Radiation, Hamiltonian Functions
Bibliographic Code:


An analytic procedure is developed for obtaining the electron impact excitation cross sections for hydrogenic ions. A simple modification of the Born approximation, in order to include Coulomb focusing of the continuum wave functions, produces the correct energy dependence of the cross section near excitation threshold. This procedure is used to compute the 1s yields 2s and 1s yields 2p excitation cross sections for hydrogenic ions (Z approaches infinity), and compare these modified-Born cross sections with numerical Colomb-Born calculations. The modified-Born cross sections agree well with the Coulomb-Born cross sections and thus provide a reliable generalized analytic expression for electron impact excitation of hydrogenic ions. By treating effective charges, the results in this work can be extended to nonhydrogenic target systems.

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Database: Astronomy
arXiv e-prints