Relativistic many-body calculations of van der Waals coefficients for Yb-Li and Yb-Rb dimers

Abstract

We derive the relativistic formulas for the van der Waals coefficients of Yb-alkali dimers that correlate to ground and excited separated-atom limits. We calculate $C_6$ and $C_8$ coefficients of particular experimental interest. We also derive a semi-empirical formula that expresses the $C_8$ coefficient of heteronuclear $A+B$ dimers in terms of the $C_6$ and $C_8$ coefficients of homonuclear dimers and the static dipole and quadrupole polarizabilities of the atomic states $A$ and $B$. We report results of calculation of the $C_6$ coefficients for the Yb-Rb ${}^3/!P_1^o+5s{}^2/!S_{1/2}$ and ${}^1/!S_0+5p{}^2/!P_{1/2}^o$ dimers, and the $C_8$ coefficients for the Yb-Li ${}^1/!S_0+2s{}^2/!S_{1/2}$ and Yb-Rb ${}^1/!S_0+5s{}^2/!S_{1/2}$ dimers. Uncertainties are estimated for all predicted properties.

9 pages

References in corpus (4)

• A High Phase-Space-Density Gas of Polar Molecules
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Development of a configuration-interaction + all-order method for atomic calculations
• Scattering lengths in isotopologues of the RbYb system

Cited by in corpus (9)

• Electric dipole matrix elements for the $6p{}^2{P}_J\to 7s{}^2{S}_{1/2}$ transition in atomic cesium
• Two-photon photoassociation spectroscopy of the ${}^2{\Sigma }^{+}$ YbLi molecular ground state
• Precision theoretical determination of electric-dipole matrix elements in atomic cesium
• Ultracold mixtures of metastable He and Rb: scattering lengths from ab initio calculations and thermalization measurements
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• High-precision measurements and theoretical calculations of indium excited-state polarizabilities
• Universal Three-Body Parameter of Heavy-Heavy-Light systems with negative intraspecies scattering length
• Intercombination line photoassociation spectroscopy of ${}^{87}$Rb${}^{170}$Yb
• Three-body recombination near the d-wave resonance in ultracold ${}^{85}$Rb\,-${}^{87}$Rb mixtures