Nygaard, N.
, Schneider, B.
and Julienne, P.
(2021),
A Two-Channel R-Matrix Analysis of Magnetic Field Induced Feshbach Resonances, Physical Review A (Atomic, Molecular and Optical Physics)
(Accessed April 4, 2025)
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A Two-Channel R-Matrix Analysis of Magnetic Field Induced Feshbach Resonances
Published
Author(s)
N Nygaard, ,
Abstract
A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled channels. In this paper we describe in detail how such an effective Feshbach model can be constructed from knowledge of a few key parameters, characterizing the atomic Born-Oppeheimer potentials and the low energy scattering near the resonance. These parameters may be obtained either from experiment or full coupled channels calculations. Using R-matrix theory we analyze the bound state spectrum and the scattering properties of the two-channel model, and find it to be in good agreement with exact calculations.Citation
Physical Review A (Atomic, Molecular and Optical Physics)
Pub Type
Journals
Keywords
cold atom collision, Feshbach resonance, R-matrix theory, two-channel theory
Citation
Issues
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Created October 12, 2021