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

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

2011-05-30

arxiv.org/abs/1105.5846v1

Physical Review A 84, 022706 (2011)

Physics

Atomic Physics

13 pages, 4 figures

Scientific paper

10.1103/PhysRevA.84.022706

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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