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.

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