2014
DOI: 10.1103/physreva.89.022703
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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 C6 and C8 coefficients of particular experimental interest. We also derive a semi-empirical formula that expresses the C8 coefficient of heteronuclear A + B dimers in terms of the C6 and C8 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 C6… Show more

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Cited by 15 publications
(6 citation statements)
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“…The primary systematic uncertainty stems from that of C 6 for LiH 2 collisions which has been calculated within 10% preci sion [35] and, as a result, causes 4% systematic error in coef ficient / / / M C 3 10 6 2 5 and the pressure. This systematic may be significantly reduced relying on recent progress in calculations of atomic and molecular interactions [47][48][49]. The statistical standard deviation of τ is 1.6% for the reported measurement.…”
Section: N Tmentioning
confidence: 99%
“…The primary systematic uncertainty stems from that of C 6 for LiH 2 collisions which has been calculated within 10% preci sion [35] and, as a result, causes 4% systematic error in coef ficient / / / M C 3 10 6 2 5 and the pressure. This systematic may be significantly reduced relying on recent progress in calculations of atomic and molecular interactions [47][48][49]. The statistical standard deviation of τ is 1.6% for the reported measurement.…”
Section: N Tmentioning
confidence: 99%
“…Here E h is the Hartree energy and a 0 is the Bohr radius. The next term is described by the C 8 coefficient which was estimated by Porsev et al to be 1.27(3) × 10 5 E h a 8 0 [38]. We use C 10 = (49/40)×C 2 8 /C 6 recommended by Thakkar and Smith [39] to reduce the number of fitting parameters.…”
Section: Theoretical Analysis: Ground Potential and State Assignmentsmentioning
confidence: 99%
“…Precision values of atomic transition matrix elements are needed for the determination of polarizabilities, light shifts and magic wavelengths for state-insensitive laser cooling, trapping, and atom manipulation [1,2]; longrange interaction C 6 and C 8 coefficients [3]; blackbody radiation shifts [4] and other systematic clock uncertainties [5]. As a result, there is a critical need for benchmark measurements and calculations of electric-dipole and other transition matrix elements for various searches for physics beyond the standard model of elementary particles [6], further improvement of current atomic clocks [4,7,8] and development of novel frequency standards [9], study of degenerate quantum gases [10] and quantum simulation [11], suppression of decoherence in quantum information processing [12,13], etc.…”
Section: Introductionmentioning
confidence: 99%