Calculation of parity non-conservation in thallium

Dzuba, V. A.; Flambaum, V. V.; Silvestrov, P. G.; Sushkov, O. P.

doi:10.1088/0022-3700/20/14/005

Cited by 165 publications

(229 citation statements)

References 29 publications

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“…Our final value for the PNC amplitude of the 6p 1/2 → 6p 3/2 transition is in good agreement with the most accurate previous calculation of Dzuba et al [26] (the references to earlier calculations can be found in [38]):…”

Section: Discussionsupporting

confidence: 91%

“…The remaining corrections correspond to the different terms in the effective operator of the hyperfine interaction [12]. In this calculation we included the structural radiation (A SR ) correction [26], which was omitted in [12]. The most important contributions are associated with the RPA and the Brueckner (A σ ) corrections to the effective operator.…”

Section: A Test Calculations Of the Spectrum Andmentioning

confidence: 99%

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Parity nonconservation in thallium

2001

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We report a new calculation of the parity non-conserving E1 amplitude for the 6p 1/2 → 6p 3/2 transition in 205 Tl. Our result for the reduced matrix element is E1PNC = −(66.7 ± 1.7) · i 10 −11 (−QW /N ) a.u.. Comparison with the experiment of Vetter et al. [Phys. Rev. Letts. 74, 2658] gives the following result for the weak charge of 205 Tl: QW /Q SM W = 0.97 (±0.01)expt (±0.03) theor , where Q SM W = −116.7 ± 0.1 is the standard model prediction. This result confirms an earlier conclusion based on the analysis of a Cs experiment that atomic PNC experiments are in agreement with the standard model.

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Section: Discussionsupporting

confidence: 91%

Section: A Test Calculations Of the Spectrum Andmentioning

confidence: 99%

Parity nonconservation in thallium

2001

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“…We use the notationΣ for the correlation correction operator (correlation potential). Details of the use ofΣ in atomic calculations can be found elsewhere [10]. The line labeled BO(Σ (2) ) presents results obtained by including the operatorΣ (2) in the Hartree-Fock equations for the valence electron and calculating Brueckner orbitals (BO) and the corresponding energies.…”

Section: Methods Of Calculationsmentioning

confidence: 99%

Calculation of isotope shifts for cesium and francium

2005

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We perform ab initio calculations of isotope shifts for isotopes of cesium (from A=123 to A=137) and francium (from A=207 to A=228). These calculations start from the relativistic Hartree-Fock method and make use of several techniques to include correlations. The field (volume) isotope shift is calculated by means of an all-order correlation potential method and within the singlesdoubles partial triples linearized coupled-cluster approach. Many-body perturbation theory in two different formulations is used to calculate the specific mass shift. We discuss the strong points and shortcomings of the different approaches and implications for parity nonconservation in atoms. Changes in nuclear charge radii are found by comparing the present calculations with experiment.

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“…Starting from the weak RPA amplitude in lowest order, one evaluates the corrections in second-and third-order, by weakly perturbing all orbitals appearing in expressions for the secondand third-order dipole matrix elements. The second-order matrix element in Cs plus all higher-order RPA corrections gives Z (2) 6s7s = 0.037 ieQ W /(−N ) [17,80,81]. This leads to a value -0.890 ieQ W /(−N ) through second order.…”

Section: Parity Nonconservation In Heavy Atomsmentioning

confidence: 96%

All-Order Methods for Relativistic Atomic Structure Calculations

Safronova¹,

Johnson²

2008

Advances in Atomic, Molecular, and Optical Physics

116

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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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Calculation of parity non-conservation in thallium

Cited by 165 publications

References 29 publications

Parity nonconservation in thallium

Parity nonconservation in thallium

Calculation of isotope shifts for cesium and francium

All-Order Methods for Relativistic Atomic Structure Calculations

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