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Precise determination of $^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules

M. Bartenstein·A. Altmeyer·S. Riedl·R. Geursen·S. Jochim·C. Chin·J. Hecker Denschlag·R. Grimm·A. Simoni·E. Tiesinga·C. J. Williams·P. S. Julienne
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Abstract

We employ radio-frequency spectroscopy on weakly bound $^6$Li$_2$ molecules to precisely determine the molecular binding energies and the energy splittings between molecular states for different magnetic fields. These measurements allow us to extract the interaction parameters of ultracold $^6$Li atoms based on a multi-channel quantum scattering model. We determine the singlet and triplet scattering lengths to be $a_s=45.167(8)a_0$ and $a_t=-2140(18)a_0$ (1 $a_0$ = 0.0529177 nm), and the positions of the broad Feshbach resonances in the energetically lowest three $s-$wave scattering channels to be 83.41(15) mT, 69.04(5) mT, and 81.12(10) mT.

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M. Bartenstein, A. Altmeyer, S. Riedl, R. Geursen, S. Jochim, C. Chin, J. Hecker Denschlag, R. Grimm, A. Simoni, E. Tiesinga, C. J. Williams, P. S. Julienne. 2004-08-31. Precise determination of $^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules. https://doi.org/10.1103/physrevlett.94.103201

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