Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon
- University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States)
A Coulomb-Born approximation is used to compute the triple-differential cross section for electron-impact inner-shell (1{ital s}) ionization of carbon. We employ a perturbation series that allows the use of Coulomb waves with arbitrary {ital Z}{sub eff} for the incoming, scattered, and ejected electrons. Most of the features of the triple-differential cross section observed experimentally are reproduced, even though these wave functions are distorted by an effective Coulomb potential and therefore do not satisfy the plane-wave boundary conditions at infinity. In order to explain some features that appear in the cross section, and in order to probe the validity of a dipole approximation, we make a multipole expansion of the transition matrix and show that the amplitudes of the multipole components are similar to those obtained in the Born approximation, while the relative phases of the multipoles differ greatly.
- OSTI ID:
- 5105157
- Journal Information:
- Physical Review A. General Physics; (United States), Vol. 45:1; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CARBON
INNER-SHELL IONIZATION
DIFFERENTIAL CROSS SECTIONS
AMPLITUDES
BORN APPROXIMATION
COULOMB FIELD
DIPOLES
ELECTRON-ATOM COLLISIONS
MULTIPOLES
PERTURBATION THEORY
SERIES EXPANSION
ATOM COLLISIONS
COLLISIONS
CROSS SECTIONS
ELECTRIC FIELDS
ELECTRON COLLISIONS
ELEMENTS
IONIZATION
NONMETALS
664300* - Atomic & Molecular Physics- Collision Phenomena- (1992-)