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Phys. Rev. A 82, 042712 (2010) [11 pages]

Asymptotic-bound-state model for Feshbach resonances

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T. G. Tiecke1,*, M. R. Goosen2, J. T. M. Walraven1, and S. J. J. M. F. Kokkelmans2
1Van der Waals–Zeeman Institute of the University of Amsterdam, 1018 XE The Netherlands
2Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Received 7 July 2010; published 22 October 2010

We present an asymptotic-bound-state model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The model is based on analytic properties of the two-body Hamiltonian and on asymptotic properties of uncoupled bound states in the interaction potentials. In its most simple version, the only necessary parameters are the least bound state energies and actual potentials are not used. The complexity of the model can be stepwise increased by introducing threshold effects, multiple vibrational levels, and additional potential parameters. The model is extensively tested on the 6Li-40K system and additional calculations on the 40K-87Rb system are presented.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.82.042712
DOI:
10.1103/PhysRevA.82.042712
PACS:
34.50.-s, 34.20.Cf, 67.85.-d

*Present address: Department of Physics, Harvard University, Cambridge, MA 02138, USA

See Also

See Also: M. R. Goosen, T. G. Tiecke, W. Vassen, and S. J. J. M. F. Kokkelmans, Feshbach resonances in 3He*-4He* mixtures, Phys. Rev. A 82, 042713 (2010).