C.L. Blackley
Effective-range approximations for resonant scattering of cold atoms
Blackley, C.L.; Julienne, P.S.; Hutson, J.M.
Abstract
Studies of cold atom collisions and few-body interactions often require the energy dependence of the scattering phase shift, which is usually expressed in terms of an effective-range expansion. We use accurate coupled-channel calculations on 6Li, 39K, and 133Cs to explore the behavior of the effective range in the vicinity of both broad and narrow Feshbach resonances. We show that commonly used expressions for the effective range break down dramatically for narrow resonances and near the zero crossings of broad resonances. We present an alternative parametrization of the effective range that is accurate through both the pole and the zero crossing for both broad and narrow resonances. However, the effective-range expansion can still fail at quite low collision energies, particularly around narrow resonances. We demonstrate that an analytical form of an energy and magnetic-field-dependent phase shift, based on multichannel quantum defect theory, gives accurate results for the energy-dependent scattering length.
Citation
Blackley, C., Julienne, P., & Hutson, J. (2014). Effective-range approximations for resonant scattering of cold atoms. Physical Review A, 89(4), Article 042701. https://doi.org/10.1103/physreva.89.042701
Journal Article Type | Article |
---|---|
Publication Date | Apr 1, 2014 |
Deposit Date | Apr 30, 2014 |
Publicly Available Date | Jul 11, 2014 |
Journal | Physical Review A |
Print ISSN | 1050-2947 |
Electronic ISSN | 1094-1622 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 89 |
Issue | 4 |
Article Number | 042701 |
DOI | https://doi.org/10.1103/physreva.89.042701 |
Files
Published Journal Article
(975 Kb)
PDF
Copyright Statement
Reprinted with permission from the American Physical Society: Phys. Rev. A 89, 042701 © (2014) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
You might also like
Making molecules by mergoassociation: Two atoms in adjacent nonspherical optical traps
(2023)
Journal Article
Shielding collisions of ultracold CaF molecules with static electric fields
(2023)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search