A theoretical study of the g-factor of the 6s6p 3P0 state of mercury

Abstract

We calculate the g-factor of the 6s6p 3P0 state of 199 and 201 mercury isotopes using a relativistic high-precision all-order method that combines the configuration interaction and the coupled-cluster approaches. Our values $g(199Hg)=-0.9485(49)\ast 10^{-3}$ and $g(201Hg)=-0.3504(18)\ast 10^{-3}$ are in agreement with the experimental measurements within the 0.5% theoretical uncertainty. We also calculate the hyperfine quenching rate of the 6s6p 3P0 state in 199Hg and 201Hg and determine its lifetime to be 1.3 and 1.9 s, respectively.

arXiv comment6 pages, the text was slightly revised and noted misprints were corrected

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• Trapping of Neutral Mercury Atoms and Prospects for Optical Lattice Clocks
• Development of a configuration-interaction + all-order method for atomic calculations
• Possibility of an ultra-precise optical clock using the $6^1{S}_0\to 6^3{P}_0^o$ transition in ${}^{171,173}$Yb atoms held in an optical lattice
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• Atomic Properties of Lu${}^{+}$
• Calculation of parity nonconservation in neutral ytterbium
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Cited by in corpus (3)

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• Role of hyperfine interaction in Landé $g$-factors of ${}^3{P}_0^o$ clock states