Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study

Abstract

We provide a comprehensive comparison of a coupled channels calculation, the asymptotic bound state model (ABM), and the multichannel quantum defect theory (MQDT). Quantitative results for ${}^6$Li -${}^{133}$Cs are presented and compared to previously measured ${}^6$Li -${}^{133}$Cs Feshbach resonances (FRs) [M. Repp et al., Phys. Rev. A 87 010701(R) (2013)]. We demonstrate how the accuracy of the ABM can be stepwise improved by including magnetic dipole-dipole interactions and coupling to a non-dominant virtual state. We present a MQDT calculation, where magnetic dipole-dipole and second order spin-orbit interactions are included. A frame transformation formalism is introduced, which allows the assignment of measured FRs with only three parameters. All three models achieve a total rms error of < 1G on the observed FRs. We critically compare the different models in view of the accuracy for the description of FRs and the required input parameters for the calculations.

16 pages, 3 figures, 1 table

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Cited by in corpus (4)

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• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Quantum Defect Theory description of weakly bound levels and Feshbach resonances in LiRb