We construct simple analytic models of the S matrix, accounting for both scattering resonances and smooth background contributions for collisions that occur below the s-wave threshold. Such models are important for studying confinement-induced resonances such as those occurring in cold collisions of 133Cs atoms in separated sites of a polarization-gradient optical lattice. Because these resonances occur at negative energy with respect to the s-wave threshold, they cannot be studied easily using direct numerical solutions of the Schrödinger equation. Using our analytic model, we extend previous studies of negative-energy scattering to the multichannel case, accounting for the interplay of Feshbach resonances, large background scattering lengths, and inelastic processes.
|Title of host publication||American Physical Society, 40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics, May 19-23, 2009|
|Publication status||Published - 1 May 2009|
|Event||40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics (DAMOP 2009), May 19-23, 2009, Charlottesville, Virginia - Charlottesville, United States|
Duration: 19 May 2009 → 23 May 2009
|Conference||40th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics (DAMOP 2009), May 19-23, 2009, Charlottesville, Virginia|
|Abbreviated title||DAMOP 2009|
|Period||19/05/09 → 23/05/09|