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

Autor: Pires, Rico, Repp, Marc, Ulmanis, Juris, Kuhnle, Eva D., Weidemüller, Matthias, Tiecke, Tobias G., Greene, Chris H., Ruzic, Brandon P., Bohn, John L., Tiemann, Eberhard
Rok vydání: 2014
Předmět:
Zdroj: Phys. Rev. A 90, 012710 (2014)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.90.012710
Popis: 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.
Comment: 16 pages, 3 figures, 1 table
Databáze: arXiv