MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies

Abstract

By use of the \textsc{grasp2018} package we perform Multiconfiguration Dirac-Hartree-Fock (MCDHF) calculations with configuration interaction (CI) for the ${}^1{S}_0$ and ${}^3{P}_{0,1}^o$ levels in neutral cadmium and mercury. By supplying the resultant atomic state functions to the \textsc{ris4} program, we evaluate the mass and field shift parameters for the ${}^1{S}_0-{}^3{P}_0^o$ (clock) and ${}^1{S}_0-{}^3{P}_1^o$ (intercombination) lines. We make revised estimates of the nuclear charge parameters ${\lambda }^{A,A^{\prime }}$ and differences in mean-square charge radii $\delta ⟨r^2{⟩}^{A,A^{\prime }}$ for both elements and point out a discrepancy with tabulated data for Cd. In constructing a King plot with the Hg lines we examine the second-order hyperfine interaction for the ${}^3{P}_{0,1}^o$ levels. Isotope shifts for the clock transition have been estimated from which we predict the unknown clock line frequencies in the bosonic Hg isotopes and all the naturally occurring isotopes of Cd.

18 pages, 7 figures

References in corpus (6)

• A transportable optical lattice clock with $7\times 10^{-17}$ uncertainty
• Doppler-free spectroscopy of the 1S0-3P0 optical clock transition in laser-cooled fermionic isotopes of neutral mercury
• Improved isotope-shift-based bounds on bosons beyond the Standard Model through measurements of the ${}^2$D${}_{3/2}{-}^2$D${}_{5/2}$ interval in Ca${}^{+}$
• Beyond the charge radius: the information content of the fourth radial moment
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• Measurements of ${}^{27}$Al${}^{+}$ and ${}^{25}$Mg${}^{+}$ magnetic constants for improved ion clock accuracy

Cited by in corpus (2)

• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• High-power, frequency-quadrupled UV laser source resonant with the ${}^1$S${}_0$-${}^3$P${}_1$ narrow intercombination transition of cadmium at 326.2 nm