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Variational calculation of positron-atom scattering using configuration-interaction-type wave functions

Bromley, Michael W. J. and Mitroy, Jim (2003). Variational calculation of positron-atom scattering using configuration-interaction-type wave functions. Physical Review A (Atomic, Molecular and Optical Physics),67(6):062709-1-062709-12.

Document type: Journal Article
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Title Variational calculation of positron-atom scattering using configuration-interaction-type wave functions
Author Bromley, Michael W. J.
Mitroy, Jim
Journal Name Physical Review A (Atomic, Molecular and Optical Physics)
Publication Date 2003
Volume Number 67
Issue Number 6
ISSN 1094-1622   (check CDU catalogue open catalogue search in new window)
Start Page 062709-1
End Page 062709-12
Total Pages 12
Place of Publication College Park, United States
Publisher American Physical Society
Field of Research 0202 - Atomic, Molecular, Nuclear, Particle and Plasma Physics
0204 - Condensed Matter Physics
0205 - Optical Physics
HERDC Category C1 - Journal Article (DEST)
Abstract The Kohn variational method is used with a configuration-interaction (CI)-type wave function to determine the phase shifts and Z(eff) for positron-copper scattering. The method is first tested for positron-hydrogen scattering and it is found to give phase shifts and Z(eff) within 1-2% of the best previous calculations. Although the phase shift for Cu converged more slowly with L-max (the maximum angular momentum of the electron and positron orbitals included in the short-range basis), it was still possible to get reliable estimates of the phase shifts by including orbitals with lless than or equal to18 and the use of an extrapolation technique. Calculation of Z(eff) was more problematic since the convergence of Z(eff) with respect to L-max was very slow. Despite the uncertainties, it was clear that the p-wave phase shift was showing signs of forming a shape resonance at about 0.5 eV incident energy. This resulted in a p-wave contribution to Z(eff) that was larger than that of the s wave for kgreater than or equal to0.1a(0)(-1). Speculative calculations based upon a model potential suggest that a p-wave shape resonance centered at thermal energies, e.g., about 0.025 eV, could result in a thermally averaged Z(eff) exceeding 10 000.
Keywords electron-hydrogen scattering
pseudostate expansions
intermediate energies
matrix theory
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Additional Notes Copyright by the The American Physical Society

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