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Phys. Rev. A 69, 052702 (2004) [15 pages]

Positron scattering and annihilation from hydrogenlike ions

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S. A. Novikov, M. W. J. Bromley*, and J. Mitroy
Faculty of TIE, Charles Darwin University, Darwin NT 0909, Australia

Received 10 December 2003; published 4 May 2004

The Kohn variational method is used with a configuration-interaction-type wave function to determine the J=0 and J=1 phase shifts and annihilation parameter Zeff for positron-hydrogenic ion scattering. The phase shifts are within 1–2% of the best previous calculations. The values of Zeff are small and do not exceed unity for any of the momenta considered. At thermal energies Zeff is minute with a value of order 10−50 occurring for He+ at k=0.05a0−1. In addition to the variational calculations, analytic expressions for the phase shift and annihilation parameters within the Coulomb wave Born approximation are derived and used to help elucidate the dynamics of positron collisions with positive ions.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.052702
DOI:
10.1103/PhysRevA.69.052702
PACS:
34.85.+x, 34.10.+x, 78.70.Bj

*Present address: Department of Physics, Kansas State University, Manhattan, KS 66506, USA.

Electronic address: jxm107@rsphysse.anu.edu.au