Physics – Atomic Physics
Scientific paper
2007-12-13
Phys. Rev. A 77, 052702 (2008)
Physics
Atomic Physics
9 pages
Scientific paper
10.1103/PhysRevA.77.052702
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 $^{133}$Cs 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 Schr\"{o}dinger 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.
Bhongale S. G.
Deutsch Ivan H.
Kokkelmans J. J. M. S. F.
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