Asymptotic Bound-state Model for Feshbach Resonances

Details Asymptotic Bound-state Model for Feshbach Resonances Asymptotic Bound-state Model for Feshbach Resonances

2010-07-06

arxiv.org/abs/1007.0886v1

Phys. Rev. A 82, 042712 (2010)

Physics

Condensed Matter

Quantum Gases

13 pages, 8 figures

Scientific paper

10.1103/PhysRevA.82.042712

We present an Asymptotic Bound-state Model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The model is based on analytic properties of the two-body Hamiltonian, and on asymptotic properties of uncoupled bound states in the interaction potentials. In its most simple version, the only necessary parameters are the least bound state energies and actual potentials are not used. The complexity of the model can be stepwise increased by introducing threshold effects, multiple vibrational levels and additional potential parameters. The model is extensively tested on the 6Li-40K system and additional calculations on the 40K-87Rb system are presented.

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