Inversion of total and differential cross-section data for electron-methane scattering

D. R. Lun, K. Amos, and L. J. Allen
Phys. Rev. A 53, 831 – Published 1 February 1996
PDFExport Citation

Abstract

The inverse scattering theory has been used to define effective local electron-methane interaction potentials. Those interactions have been obtained first by inversion of the total cross-section data as a function of energy. The WKB approximation has been used in that determination. The same approximation has been used to effect (fixed energy) inversion of differential cross-section data from electron-methane scattering for energies of 200, 300, 500, and 700 eV. The resulting interactions, which we have assumed to be purely real, are very similar and show little energy dependence. They are in good agreement with a theoretically derived potential for this system at those radii for which the inversion potentials are determined sensitively by the scattering data. In addition, the generalized unitarity theorem has been used to specify the scattering amplitude from the 700-eV data. The S function given by Legendre integration of that amplitude has been inverted to specify another purely real potential for the collision. The result is very similar to those found by the other analyses. © 1996 The American Physical Society.

  • Received 5 October 1995

DOI:https://doi.org/10.1103/PhysRevA.53.831

©1996 American Physical Society

Authors & Affiliations

D. R. Lun, K. Amos, and L. J. Allen

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

References (Subscription Required)

Click to Expand
Issue

Vol. 53, Iss. 2 — February 1996

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×