Analytic description of atomic interaction at ultracold temperatures. II. Scattering around a magnetic Feshbach resonance

Bo Gao
Phys. Rev. A 84, 022706 – Published 8 August 2011

Abstract

Starting from a multichannel quantum-defect theory, we derive analytic descriptions of a magnetic Feshbach resonance in an arbitrary partial wave l and the atomic interactions around it. An analytic formula, applicable to both broad and narrow resonances of arbitrary l, 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 l, (b) rigorous definitions of “broad” and “narrow” resonances of arbitrary l and their different scattering characteristics, and (c) the tuning of the effective range and the generalized effective range by a magnetic field.

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  • Received 31 May 2011

DOI:https://doi.org/10.1103/PhysRevA.84.022706

©2011 American Physical Society

Authors & Affiliations

Bo Gao*

  • Institute for Theoretical Atomic, Molecular and Optical Physics (ITAMP), Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
  • Department of Physics and Astronomy, Mailstop 111, University of Toledo, Toledo, Ohio 43606, USA

  • *bo.gao@utoledo.edu; http://bgaowww.physics.utoledo.edu

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Vol. 84, Iss. 2 — August 2011

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