Width and shift of Fano-Feshbach resonances for van der Waals interactions
arXiv:1812.03903 · doi:10.1103/PhysRevA.100.042710
Abstract
We revisit the basic properties of Fano-Feshbach resonances in two-body systems with van der Waals tail interactions, such as ultracold neutral atoms. Using a two-channel model and two different methods, we investigate the relationship between the width and shift of the resonances and their dependence on the low-energy parameters of the system. Unlike what was previously believed [Rev. Mod. Phys. 82, 1225 (2010)] for magnetic resonances, we find that the ratio between the width and the shift of a resonance does not depend only on the background scattering length, but also on a closed-channel scattering length. We obtain different limits corresponding to different cases of optical and magnetic resonances. Although the generalisation of the theory to the multi-channel case remains to be done, we found that our two-channel predictions are verified for a specific resonance of lithium-6.
15 pages, 6 figures
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Cited by in corpus (5)
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- A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
- Microscopy of an ultranarrow Feshbach resonance using a laser-based atom collider: A quantum defect theory analysis
- Closed-channel parameters of Feshbach resonances
- Scattering Angle Dependence of Fano Resonance Profiles in Cold Atomic Collisions Analyzed with the Complex Valued Parameter