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.

arXiv comment18 pages, 7 figures

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Cited by in corpus (5)

• Isotope Shifts in Cadmium as a Sensitive Probe for Physics Beyond the Standard Model
• High-resolution isotope-shift spectroscopy of Cd I
• 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
• The hyperfine anomaly in mercury and test of the Moskowitz-Lombardi rule