Threshold law for ionization cross sections in the Temkin-Poet model
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996-1501 (United States)
- Department of Mathematics, Royal Holloway, University of London, Egham, Surry TW20 0EX (United Kingdom)
An integral representation of wave functions for the Temkin-Poet model of electron impact on atomic hydrogen is given. Approximate wave functions are evaluated analytically for large hyperradius to extract the ionization S-matrix element. An ionization cross section of the form exp[{minus}aE{sup {minus}1/6}+bE{sup 1/6}], where a and b are positive constants, is derived. The exponential suppression of ionization for small E appears to be the quantum counterpart of the delayed onset of ionization in the classical theory for this model. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 467355
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 55; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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