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Phys. Rev. A 73, 052709 (2006) [8 pages]

Properties of quasi-one-dimensional molecules with Feshbach-resonance interaction

V. A. Yurovsky
School of Chemistry, Tel Aviv University, 69978 Tel Aviv, Israel
Received 11 January 2006; published 18 May 2006

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and values of the nonresonant scattering length the problem can be approximated by a one-dimensional resonant model. The three-body problem becomes nonintegrable and the properties of triatomic molecules become different from those predicted by the integrable Lieb-Liniger-McGuire model.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.73.052709
DOI: 10.1103/PhysRevA.73.052709
PACS: 03.65.Nk; 03.65.Ge; 03.75.Be; 32.80.Pj
  • 03.65.Nk
    Scattering theory in quantum mechanics
  • 03.65.Ge
    Solutions of wave equations: bound states in quantum mechanics
  • 03.75.Be
    Atom and neutron optics
  • 32.80.Pj
    Optical cooling of atoms; trapping
  • YEAR: 2006
KEYWORDS: atomic collisions, radiation pressure, resonant states, bound states

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