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arXiv · 1406.0477

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

Rico Pires·Marc Repp·Juris Ulmanis·Eva D. Kuhnle·Matthias Weidemüller·Tobias G. Tiecke·Chris H. Greene·Brandon P. Ruzic·John L. Bohn·Eberhard Tiemann
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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.

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Rico Pires, Marc Repp, Juris Ulmanis, Eva D. Kuhnle, Matthias Weidemüller, Tobias G. Tiecke, Chris H. Greene, Brandon P. Ruzic, John L. Bohn, Eberhard Tiemann. 2014-06-02. Analyzing Feshbach resonances -- A $^6$Li -$^{133}$Cs case study. https://doi.org/10.1103/physreva.90.012710

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