Three-Body Models of Electron-Hydrogen Ionization

  • S. Jones
  • D. H. Madison
Part of the Physics of Atoms and Molecules book series (PAMO)

Abstract

Although the importance of electron-electron correlations in (e,2e) reactions has long been realized, untill recently only little theoretical progress had been made including these correlations. Theoretical studies using “three-body” models (models with explicit dependence on the electron-electron coordinate) are hampered by the difficult six-dimensional integral for the scattering amplitude. “Two-body” models, on the other hand, retain only electron-ion interactions and the standard techniques of partial-wave analysis greatly simplify the integral. In contrast, the wave functions used in three-body models give rise to two-center integrals, which are not efficiently evaluated using partial-wave methods. Therefore, a different method was sought for. We have found that direct six-dimensional numerical quadrature is efficient (about five minutes on a workstation to compute one scattering amplitude). As a result, we now have the capability of calculating (e,2e) triply-differential cross sections using three-body wave functions of arbitrary complexity. This allows for a severe test of three-body models. The utility of our method is demonstrated by using two recently reported analytical three-body wave functions in an (e,2e) calculation.

Keywords

Wave Function Large Momentum Transfer Interparticle Separation Proper Physic Soft Collision 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • S. Jones
    • 1
  • D. H. Madison
    • 1
  1. 1.Physics DepartmentUniversity of Missouri-RollaRollaUSA

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