Ab initio method for calculating total cross sections

A method for calculating total cross sections without formally including nonelastic channels is presented. The idea is to use a one channel T-matrix variational principle with a complex correlation function. The derived T matrix is therefore not unitary. Elastic scattering is calculated from T-paral...

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Bibliographic Details
Published in:Physical review letters 1993-03, Vol.70 (13), p.1936-1939
Main Authors: Bhatia, A. K., Schneider, B. I., Temkin, A.
Format: Article
Language:English
Subjects:
Atomic and molecular collision processes and interactions
Atomic And Molecular Physics
Electron scattering
Exact sciences and technology
Physics
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Summary:A method for calculating total cross sections without formally including nonelastic channels is presented. The idea is to use a one channel T-matrix variational principle with a complex correlation function. The derived T matrix is therefore not unitary. Elastic scattering is calculated from T-parallel-squared, but total scattering is derived from the imaginary part of T using the optical theorem. The method is applied to the spherically symmetric model of electron-hydrogen scattering. No spurious structure arises; results for sigma(el) and sigma(total) are in excellent agreement with calculations of Callaway and Oza (1984). The method has wide potential applicability.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.70.1936