A two-channel R-matrix analysis of magnetic field induced Feshbach resonances

Details A two-channel R-matrix analysis of magnetic field induced Feshbach resonances A two-channel R-matrix analysis of magnetic field induced Feshbach resonances

2006-01-24

arxiv.org/abs/cond-mat/0601542v2

Phys. Rev. A 73, 042705 (2006)

Physics

Condensed Matter

Other Condensed Matter

Added references. 11 pages, 6 figures. For additional information see http://www.phys.au.dk/quantop/Feshbach/Feshbach.shtm

Scientific paper

10.1103/PhysRevA.73.042705

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-Oppenheimer 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.

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