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

V. A. Yurovsky
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Abstract

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 non-resonant scattering length the problem can be approximated by a one-dimensional resonant model. Three-body problem becomes nonintegrable and the properties of triatomic molecules become different from those predicted by the integrable Lieb-Liniger-McGuire model.

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V. A. Yurovsky. 2006-01-23. Properties of quasi-one-dimensional molecules with Feshbach resonance interaction. https://doi.org/10.1103/physreva.73.052709

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