Isotope shifts for 
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 Yb lines from multiconfiguration Dirac-Hartree-

Schelfhout, Jesse S.

doi:10.1103/physreva.104.022806

Cited by 13 publications

(14 citation statements)

References 88 publications

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“…Thus, there is excellent agreement with the experimental values and they are closer than values computed previously [31][32][33][34]. This is also more than an order of magnitude more accurate than the results for Yb [25]. The isotope shifts δν 199,198 clock and δν 201,198 clock are at errors of about -9% and 5%, respectively, in comparison to the (second-order corrected) experimental values in Table X.…”

Section: Ab Initio Transition Frequencies and Isotope Shiftssupporting

confidence: 85%

“…[32]. Whilst the accuracy is an order of magnitude poorer than for the clock transition, this is approximately a factor of four more accurate than the equivalent results for Yb [25]. The isotope shifts are at errors of about 5% in comparison to the experimental values in Refs.…”

Section: Ab Initio Transition Frequencies and Isotope Shiftsmentioning

confidence: 58%

“…The isotope shifts δν 199,198 clock and δν 201,198 clock are at errors of about -9% and 5%, respectively, in comparison to the (second-order corrected) experimental values in Table X. These ab initio isotope shifts for Hg are also more accurate than those for Yb [25]. For the ICL transition, the absolute transition frequencies presented in Table III are at −0.2% difference with the values in Table I.…”

Section: Ab Initio Transition Frequencies and Isotope Shiftsmentioning

confidence: 63%

“…The main point of difference concerns the multiconfiguration correlation model adopted for Hg and Cd. The outputs produced by starting from a singlereference (SR) configuration (for the zeroth order wave function) are found to be in better agreement with experimental values than results from a multi-reference (MR) set as used in [25] (but more so for Cd). This difference could be due to the presence of a closed d-shell just under the valence shell in Cd and Hg that is absent in Yb -a hypothesis that could be tested by performing computations using both SR and MR set approaches for nobellium and copernicium (but beyond the scope of the present work).…”

Section: Methodsmentioning

confidence: 76%

“…The MCDHF-CI calculations for Hg and Cd follow a similar approach used for Yb in our previous work [25]. For Cd, with the ground state valence electrons filling the 5s orbital, an additional correlation layer is required to extend the active space to 12s, 12p, 12d, 12f compared to Yb and Hg, for which the ground state valence electrons fill the 6s orbital.…”

Section: Methodsmentioning

confidence: 99%

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

Schelfhout,

McFerran

2021

Preprint

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By use of the grasp2018 package we perform Multiconfiguration Dirac-Hartree-Fock (MCDHF) calculations with configuration interaction (CI) for the 1 S0 and 3 P o 0,1 levels in neutral cadmium and mercury. By supplying the resultant atomic state functions to the ris4 program, we evaluate the mass and field shift parameters for the 1 S0 − 3 P o 0 (clock) and 1 S0 − 3 P o 1 (intercombination) lines. We make revised estimates of the nuclear charge parameters λ A,A and differences in mean-square charge radii δ r 2 A,A 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 o 0,1 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.

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Section: Ab Initio Transition Frequencies and Isotope Shiftssupporting

confidence: 85%

Section: Ab Initio Transition Frequencies and Isotope Shiftsmentioning

confidence: 58%

Section: Ab Initio Transition Frequencies and Isotope Shiftsmentioning

confidence: 63%

Section: Methodsmentioning

confidence: 76%

Section: Methodsmentioning

confidence: 99%

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

Schelfhout,

McFerran

2021

Preprint

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Large-scale relativistic calculations of spectral data in Zr XXVIII, Nb XXIX and Tc XXXI of tokamak interest

Chen

2024

Atomic Data and Nuclear Data Tables

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Isotope shifts in cadmium as a sensitive probe for physics beyond the standard model

et al. 2022

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Isotope shifts (ISs) of atomic energy levels are sensitive probes of nuclear structure and new physics beyond the Standard Model. We present an analysis of the ISs of the cadmium atom (Cd I) and singly charged cadmium ion (Cd II). ISs of the 229 nm, 326 nm, 361 nm and 480 nm lines of Cd I are measured with a variety of techniques; buffer-gas-cooled beam spectroscopy, capturing atoms in a magneto-optic-trap, and optical pumping. IS constants for the D$_1$ and D$_2$ lines of Cd II are calculated with high accuracy by employing analytical response relativistic coupled-cluster theory in the singles, doubles and triples approximations. Combining the calculations for Cd II with experiments, we infer IS constants for all low-lying transitions in Cd I. We benchmark existing calculations via different many-body methods against these constants. Our calculations for Cd II enable nuclear charge radii of Cd isotopes to be extracted with unprecedented accuracy. The combination of our precise calculations and measurements shows that King Plots for Cd~I can improve the state-of-the-art sensitivity to a new heavy boson by up to two orders of magnitude.

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Isotope shifts for S01−P0,1o3 Yb lines from multiconfiguration Dirac-Hartree-

Cited by 13 publications

References 88 publications

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

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

Large-scale relativistic calculations of spectral data in Zr XXVIII, Nb XXIX and Tc XXXI of tokamak interest

Isotope shifts in cadmium as a sensitive probe for physics beyond the standard model

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