Precise Measurement of Parity Nonconserving Optical Rotation in Atomic Thallium

Edwards, N. H.; Phipp, S J; Baird, P E G; Nakamura, Shigeru

doi:10.1103/physrevlett.74.2654

Cited by 165 publications

(136 citation statements)

References 20 publications

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“…They accurately measured χ (17) and used their value to rescale the experimental result from Ref. [2] to find R = −14.71 (45), Majumder and Tsai [40]. (20) This scaled value is in agreement with the measurement [1], where a nearly identical value of χ was used, and all three values are in agreement with the theoretical result (18) for the Q W = Q SM W .…”

Section: Discussionsupporting

confidence: 75%

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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: 75%

“…The thallium atom is the second simplest atom where parity non-conservation (PNC) has been observed [1,2]. The simplest and best understood such atom is cesium, where theory has the accuracy of 1% [3,4] (see also more recent calculations [5,6,7]).…”

Section: Introductionmentioning

confidence: 99%

Parity nonconservation in thallium

2001

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“…Understanding of the theoretical and experimental uncertainties in In can be used in Tl studies. Both EDM [14] and parity-violation studies [15,16] had been carried our in Tl. The theory accuracy in Tl is still below the experimental accuracy, hindering further parity violation studies with this system.…”

Section: Introductionmentioning

confidence: 99%

Polarizabilities, Stark shifts, and lifetimes of the In atom

Safronova

Porsev

2013

Phys. Rev. A

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We evaluate the polarizabilities of the 5p 1/2 , 6s, 6p 1/2 , and 6p 3/2 states of In using two different high-precision relativistic methods: linearized coupled-cluster approach where single, double and partial triple excitations of the Dirac-Fock wave function are included to all orders of perturbation theory and an approach that combines the configuration interaction and the coupled-cluster method. Extensive comparison of the accuracy of these methods is carried out. The uncertainties of all recommended values are evaluated. Our result for the 6s−5p 1/2 Stark shift is in excellent agreement with the recent measurement [Ranjit et al., arXiv:1302.0821v1]. Combining our calculation with this precision measurement allows us to infer the values of the 6p 1/2 and 6p 3/2 lifetimes in In with 0.8% accuracy. Our predictions for the 6p 3/2 scalar and tensor polarizabilities may be combined with the future measurement of the 6s − 6p 3/2 Stark shift to accurately determine the lifetimes of the 5dj states.

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“…Atomic parity nonconservation (PNC) has now been measured in bismuth [1], lead [2], thallium [3], and cesium [4]. Analysis of the data provides an important test of the Standard Electroweak model and imposes constraints on new physics beyond the model, see Ref.…”

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confidence: 99%

Parity nonconservation in heavy atoms: The radiative correction enhanced by the strong electric field of the nucleus

Milstein

Sushkov

2002

Phys. Rev. A

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Parity nonconservation due to the nuclear weak charge is considered. We demonstrate that the radiative corrections to this effect due to the vacuum fluctuations of the characteristic size larger than the nuclear radius r0 and smaller than the electron Compton wave-length λC are enhanced because of the strong electric field of the nucleus. The parameter that allows one to classify the corrections is the large logarithm ln(λC/r0). The vacuum polarization contribution is enhanced by the second power of the logarithm. Although the self-energy and the vertex corrections do not vanish, they contain only the first power of the logarithm. The value of the radiative correction is 0.4% for Cs and 0.9% for Tl, Pb, and Bi. We discuss also how the correction affects the interpretation of the experimental data on parity nonconservation in atoms. [7,8]. Both the experimental and the theoretical accuracy is best for Cs. Therefore, this atom provides the most important information on the Standard model in the low energy sector. The analysis performed in Ref.[4] has indicated a deviation of the measured weak charge value from that predicted by the Standard model by 2.5 standard deviations σ.In the many-body calculations [6][7][8] the Coulomb interaction between electrons was taken into account, while the magnetic interaction was neglected. The contribution of the magnetic (Breit) electron-electron interaction was calculated in the recent papers [9,10]. It proved to be much larger than a naive estimate, and it shifted the theoretical prediction for PNC in Cs. As a result, the deviation from the Standard model has been reduced. The calculations [9,10] have already been used to get new restrictions on possible modifications of the Standard model, see, e. g., Ref. [11]. The reason for the enhancement of the Breit correction has been explained in Ref. [12]. In the case of the Coulomb residual interaction the effect of the many-body polarization is maximum for the outer electronic subshell and quickly drops down inside the atom [6][7][8]. The Breit interaction is more singular at small distances than the Coulomb one. Hence, the polarization is maximum for the lowest subshell (1s 2 ) and quickly drops down towards the outer shells. The estimate of the relative effect of the magnetic polarization gives Zα 2 instead of naive α 2 , where Z is the nuclear charge and α is the fine structure constant. To find the Breit correction there is no need to repeat the involved many-body calculations performed in Refs. [6][7][8]. Indeed, the Breit correction comes from small distances, r ∼ a B /Z (a B is the Bohr radius), while all the Coulomb polarization and correlation corrections come from large distances, r ∼ a B . Therefore, it is sufficient to calculate the relative Breit correction to some PNC mixing matrix element (say 6s 1/2 − 6p 1/2 mixing in Cs) in the simplest Hartree-Fock or RPA approximation. The relative Breit correction to the PNC effect with account of all manybody Coulomb polarization and correlation corrections is exactly the same...

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Precise Measurement of Parity Nonconserving Optical Rotation in Atomic Thallium

Cited by 165 publications

References 20 publications

Parity nonconservation in thallium

Parity nonconservation in thallium

Polarizabilities, Stark shifts, and lifetimes of the In atom

Parity nonconservation in heavy atoms: The radiative correction enhanced by the strong electric field of the nucleus

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