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Title: Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon

Abstract

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.

Authors:
;  [1]
  1. University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States)
Publication Date:
OSTI Identifier:
5105157
Resource Type:
Journal Article
Journal Name:
Physical Review A. General Physics; (United States)
Additional Journal Information:
Journal Volume: 45:1; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 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-)

Citation Formats

Botero, J, and Macek, J H. Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon. United States: N. p., 1992. Web. doi:10.1103/PhysRevA.45.154.
Botero, J, & Macek, J H. Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon. United States. doi:10.1103/PhysRevA.45.154.
Botero, J, and Macek, J H. Wed . "Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon". United States. doi:10.1103/PhysRevA.45.154.
@article{osti_5105157,
title = {Coulomb-Born calculation of the triple-differential cross section for inner-shell electron-impact ionization of carbon},
author = {Botero, J and Macek, J H},
abstractNote = {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.},
doi = {10.1103/PhysRevA.45.154},
journal = {Physical Review A. General Physics; (United States)},
issn = {1050-2947},
number = ,
volume = 45:1,
place = {United States},
year = {1992},
month = {1}
}