Glauber Theory of Atomic-Hydrogen Ionization by Electron Impact
- 1 March 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 7 (3) , 973-979
- https://doi.org/10.1103/physreva.7.973
Abstract
The high-energy Glauber, or eikonal, approximation is used to derive formulas for the scattering amplitude and cross section for the ionization of atomic hydrogen by electron impact. The scattering amplitude is expressed in terms of a double infinite sum of hypergeometric functions which may be evaluated on a computer. Total cross sections may be obtained by squaring the scattering amplitude and integrating over five final-state variables. Three integrals are trival and two must be done numerically. At sufficiently high energies, the Glauber result reduces to the expressions found in the simpler, but more restrictive, Coulomb—Born approximation.Keywords
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