# Analytic models of ultracold atomic collisions at negative energies for application to confinement-induced resonances

S.G. Bhongale, S.J.J.M.F. Kokkelmans, I.H. Deutsch

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## Samenvatting

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. © 2008 The American Physical Society
Originele taal-2 Engels 052702 052702-1/8 8 Physical Review A : Atomic, Molecular and Optical Physics 77 5 https://doi.org/10.1103/PhysRevA.77.052702 Gepubliceerd - 2008

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