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Electron- and positron-impact atomic scattering calculations using propagating exterior complex scaling

Bartlett, P.L., Stelbovics, A.T., Rescigno, T.N. and McCurdy, C.W. (2007) Electron- and positron-impact atomic scattering calculations using propagating exterior complex scaling. Journal of Physics: Conference Series, 88 (1). 012011.

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Abstract

Calculations are reported for four-body electron-helium collisions and positron-hydrogen collisions, in the S-wave model, using the time-independent propagating exterior complex scaling (PECS) method. The PECS S-wave calculations for three-body processes in electron-helium collisions compare favourably with previous convergent close-coupling (CCC) and time-dependent exterior complex scaling (ECS) calculations, and exhibit smooth cross section profiles. The PECS four-body double-excitation cross sections are significantly different from CCC calculations and highlight the need for an accurate representation of the resonant helium final-state wave functions when undertaking these calculations. Results are also presented for positron-hydrogen collisions in an S-wave model using an electron-positron potential of V12 = - (8 + (r1 - r2)2)-1/2. This model is representative of the full problem, and the results demonstrate that ECS-based methods can accurately calculate scattering, ionization and positronium formation cross sections in this three-body rearrangement collision.

Item Type: Journal Article
Murdoch Affiliation: School of Engineering and Energy
Publisher: Institute of Physics Publishing
Copyright: © 2007 IOP Publishing Ltd.
URI: http://researchrepository.murdoch.edu.au/id/eprint/10986
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