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Phys. Rev. Lett. 98, 173001 (2007) [4 pages]

Generating Phase Shifts from Pseudostate Energy Shifts

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J. Mitroy
Faculty of Technology, Charles Darwin University, Darwin NT 0909, Australia

M. W. J. Bromley
Department of Physics, San Diego State University, San Diego, California 92182, USA

Received 28 November 2006; published 23 April 2007

A simple way to generate low energy phase shifts for elastic scattering using bound-state calculations is postulated, validated, and applied to the problem of e+-Mg scattering. The essence of the method is to use the energy shift between a small reference calculation and the largest possible calculation of the lowest energy pseudostate to tune a semiempirical optical potential. The =1 partial wave for e+-Mg scattering is predicted to have a shape resonance at an energy of about 0.13 eV. The value of Zeff at the center of the resonance is about 1500.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.173001
DOI:
10.1103/PhysRevLett.98.173001
PACS:
31.25.Jf, 03.65.Nk, 34.80.Bm, 34.85.+x