Global analysis of data on the spin-orbit coupled $A^1{\Sigma }_u^{+}$ and $b^3{\Pi }_u$ states of Cs2

Abstract

We present experimentally derived potential curves and spin-orbit interaction functions for the strongly perturbed $A^1{\Sigma }_u^{+}$ and $b^3{\Pi }_u$ states of the cesium dimer. The results are based on data from several sources. Laser-induced fluorescence Fourier transform spectroscopy (LIF FTS) was used some time ago in the Laboratoire Aimé Cotton primarily to study the $X^1{\Sigma }_g^{+}$ state. More recent work at Tsinghua University provides information from moderate resolution spectroscopy on the lowest levels of the $b^3{\Pi }_{0u}^{\pm }$ states as well as additional high resolution data. From Innsbruck University, we have precision data obtained with cold Cs${}_2$ molecules. Recent data from Temple University was obtained using the optical-optical double resonance polarization spectroscopy technique, and finally, a group at the University of Latvia has added additional LIF FTS data. In the Hamiltonian matrix, we have used analytic potentials (the Expanded Morse Oscillator form) with both finite-difference (FD) coupled-channels and discrete variable representation (DVR) calculations of the term values. Fitted diagonal and off-diagonal spin-orbit functions are obtained and compared with {\it ab initio} results from Temple and Moscow State universities.

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Cited by in corpus (6)

• Optimal trapping wavelengths of Cs${}_2$ molecules in an optical lattice
• Hyperfine, rotational and Zeeman structure of the lowest vibrational levels of the ${}^{87}$Rb${}_2$ $\tripletex$ state
• Fourier transform spectroscopy, relativistic electronic structure calculation, and coupled-channel deperturbation analysis of the fully mixed $A^1{\Sigma }_u^{+}$ and $b^3{\Pi }_u$ states of Cs${}_2$
• Mixing of 0${}^{+}$ and 0${}^{-}$ observed in hyperfine and Zeeman structure of ultracold Rb${}_2$ molecules
• Level structure of deeply bound levels of the $c^3{\Sigma }_g^{+}$ state of ${}^{87}{\text{Rb}}_2$
• Genetics-based deperturbation analysis for the spin-orbit coupled ${\mathrm{A}}^1{\Sigma }^{+}$ and ${\mathrm{b}}^3{\Pi }_{0^{+}}$ states of LiRb