Abstract
Starting from a multichannel quantum-defect theory, we derive analytic descriptions of a magnetic Feshbach resonance in an arbitrary partial wave and the atomic interactions around it. An analytic formula, applicable to both broad and narrow resonances of arbitrary , is presented for ultracold atomic scattering around a Feshbach resonance. Other related issues addressed include (a) the parametrization of a magnetic Feshbach resonance of arbitrary , (b) rigorous definitions of “broad” and “narrow” resonances of arbitrary and their different scattering characteristics, and (c) the tuning of the effective range and the generalized effective range by a magnetic field.
- Received 31 May 2011
DOI:https://doi.org/10.1103/PhysRevA.84.022706
©2011 American Physical Society