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A Two-Channel R-Matrix Analysis of Magnetic Field Induced Feshbach Resonances

Published

Author(s)

N Nygaard, Barry I. Schneider, Paul S. Julienne

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)

Keywords

cold atom collision, Feshbach resonance, R-matrix theory, two-channel theory

Citation

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 June 19, 2024)

Issues

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Created October 12, 2021