Calculation of isotope shifts for cesium and francium

Dzuba, V. A.; Johnson, W. R.; Safronova, M. S.

doi:10.1103/physreva.72.022503

Cited by 54 publications

(85 citation statements)

References 33 publications

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“…Unfortunately, the same method cannot be used for the calculation of the SMS for reasons explained in Ref. [111]. The SMS shift was calculated in Ref.…”

Section: Isotope Shiftmentioning

confidence: 99%

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All-Order Methods for Relativistic Atomic Structure Calculations

Safronova¹,

Johnson²

2008

Advances in Atomic, Molecular, and Optical Physics

117

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All-order extensions of relativistic atomic many-body perturbation theory are described and applied to predict properties of heavy atoms. Limitations of relativistic many-body perturbation theory are first discussed and the need for all-order calculations is established. An account is then given of relativistic all-order calculations based on a linearized version of the coupled-cluster expansion. This account is followed by a review of applications to energies, transition matrix elements, and hyperfine constants. The need for extensions of the linearized coupled-cluster method is discussed in light of accuracy limits, the availability of new computational resources, and precise modern experiments. For monovalent atoms, calculations that include nonlinear terms and triple excitations in the coupled-cluster expansion are described. For divalent atoms, results from second-and third-order perturbation theory calculations are given, along with results from configuration-interaction calculations and mixed configuration interaction-many-body perturbation theory calculations. Finally, applications of all-order methods to atomic parity nonconservation, polarizabilities, C 3 and C 6 coefficients, and isotope shifts are given.

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“…Unfortunately, the same method cannot be used for the calculation of the SMS for reasons explained in Ref. [111]. The SMS shift was calculated in Ref.…”

Section: Isotope Shiftmentioning

confidence: 99%

“…[111], where Table 17 Comparison of the total isotope shifts with experiment for Na (δν 22,23 ), K (δν 41,39 ), and Ca + (δν 43,40 Expt.…”

Section: Isotope Shiftmentioning

confidence: 99%

All-Order Methods for Relativistic Atomic Structure Calculations

Safronova¹,

Johnson²

2008

Advances in Atomic, Molecular, and Optical Physics

117

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“…These reach from the extraction of nuclear properties from atomic spectra to applications in astronomy and fundamental physics. The spectrum of atoms and ions encodes information that provides a key to the ground-state properties of nuclei [2,3], small parity-violating effects caused by the weak interaction [4], for unitarity tests of the Cabibbo-Kobayashi-Maskawa (CKM) matrix [5], or for probing the Higgs coupling between electrons and quarks [6]. Light appearing on earth from stars at large distances is red shifted and can provide information about the spectra of atoms in ancient times and whether there have been changes, for example from a variation of the fine structure constant α.…”

Section: Introductionmentioning

confidence: 99%

Unexpectedly large difference of the electron density at the nucleus in the $$ 4p\, ^2{\mathrm {P}}_{{1}/{2},{3}/{2}}$$ 4 p 2 P 1 / 2 , 3 / 2 fine-structure doublet of Ca $$^+$$ +

et al. 2016

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We measured the isotope shift in the 2 S1 /2 → 2 P3 /2 (D2) transition in singly-ionized calcium ions using photon recoil spectroscopy. The high accuracy of the technique enables us to resolve the difference between the isotope shifts of this transition to the previously measured isotopic shifts of the 2 S1 /2 → 2 P1 /2 (D1) line. This so-called splitting isotope shift is extracted and exhibits a clear signature of field shift contributions. From the data we were able to extract the small difference of the field shift coefficient and mass shifts between the two transitions with high accuracy. This J-dependence is of relativistic origin and can be used to benchmark atomic structure calculations. As a first step, we use several ab initio atomic structure calculation methods to provide more accurate values for the field shift constants and their ratio. Remarkably, the high-accuracy value for the ratio of the field shift constants extracted from the experimental data is larger than all available theoretical predictions.

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“…The contribution due to configuration mixing with the ν1i 11/2 orbital (using the calculated magnetic moment for 209 Pb [49]) is relatively small, at 3.8%. However, in contrast, ν1i 11/2 configuration mixing accounts for 33.5% of the 214 Fr ground state assignment when I = (2 − ), with g( 214g Fr I=(2 − ) ) = +0.144 (10). In either case, evidence of a contribution from the ν1i 11/2 orbital supports previous theoretical studies that require this in order to reproduce the kink in the mean square charge-radii values at the N = 126 shell closure [14,15,17].…”

Section: Discussionmentioning

confidence: 99%

“…In this paper we focus on the charge radii in the trans-lead region and in particular, the characteristic increase in the gradient that is observed at a shell closure crossing. This is often referred to as a "kink" [4] and has already been seen at N = 126 in the neighboring isotopes from thallium to radium [5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Laser and decay spectroscopy of the short-lived isotope Fr214 in the vicinity of the N=126 shell closure

et al. 2016

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Combined decay and laser spectroscopy measurements of the isotope 214 Fr are reported, using the collinear resonance ionization spectroscopy (CRIS) technique at the ISOLDE facility at CERN. For the I π = (1 − ) spin assignment, the g-factor value of g( 214 Fr) = +0.241(16) corresponds to a relatively pure (π 1h 9/2 ⊗ ν2g 9/2 ) ground-state configuration. An alternative interpretation with g( 214 Fr) = +0.144(10), for a (2 − ) spin assignment suggests a greater contribution of configuration mixing with the ν1i 11/2 orbital. As the N = 126 shell closure is passed, a kink is observed at the δ r 2 213,214 value, which is analogous to the behavior observed in the neighboring isotopic chains.

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Calculation of isotope shifts for cesium and francium

Cited by 54 publications

References 33 publications

All-Order Methods for Relativistic Atomic Structure Calculations

All-Order Methods for Relativistic Atomic Structure Calculations

Unexpectedly large difference of the electron density at the nucleus in the $$ 4p\, ^2{\mathrm {P}}_{{1}/{2},{3}/{2}}$$ 4 p 2 P 1 / 2 , 3 / 2 fine-structure doublet of Ca $$^+$$ +

Laser and decay spectroscopy of the short-lived isotope Fr214 in the vicinity of the N=126 shell closure

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