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Phys. Rev. Lett. 101, 123201 (2008) [4 pages]

Elastic Scattering Using an Artificial Confining Potential

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J. Mitroy and J. Y. Zhang
ARC Center for Anti-Matter Studies, Faculty of Technology, Charles Darwin University, Darwin NT 0909, Australia

K. Varga
Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA

Received 21 May 2008; revised 14 July 2008; published 17 September 2008

The discrete energies of a scattering Hamiltonian calculated under the influence of an artificial confining potential of almost arbitrary functional form can be used to determine its phase shifts. The method exploits the result that two short-range Hamiltonians having the same energy will have the same phase shifts upon removal of the confining potential. An initial verification is performed on a simple model problem. Then the stochastic variational method is used to determine the energies of the confined e--He 2Se system and thus determine the low energy phase shifts.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.123201
DOI:
10.1103/PhysRevLett.101.123201
PACS:
34.10.+x, 03.65.Nk, 34.80.Bm