Abstract
We construct simple analytic models of the matrix, accounting for both scattering resonances and smooth background contributions for collisions that occur below the -wave threshold. Such models are important for studying confinement-induced resonances such as those occurring in cold collisions of atoms in separated sites of a polarization-gradient optical lattice. Because these resonances occur at negative energy with respect to the -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.
7 More- Received 11 February 2008
DOI:https://doi.org/10.1103/PhysRevA.77.052702
©2008 American Physical Society