dorsal/arxiv
View SchemaRadiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkaline atoms
| Authors | V. M. Shabaev, I. I. Tupitsyn, K. Pachucki, G. Plunien, V. A. Yerokhin |
|---|---|
| Categories | |
| ArXiv ID | physics/0510084 |
| URL | https://arxiv.org/abs/physics/0510084 |
| DOI | 10.1103/PhysRevA.72.062105 |
| Journal | Phys. Rev. A 72, 062105 (2005) |
Abstract
The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all orders in $\alpha Z$ using a local form of the Dirac-Fock potential. The calculations are performed in both length and velocity gauges for the absorbed photon and the total binding QED correction is found to be $-$0.27(3)% for Cs and $-$0.28(5)% for Fr. Moreover, a high-precision calculation of the electron-correlation and Breit-interaction effects on the 7$s-8s$ PNC amplitude in francium using a large-scale configuration-interaction Dirac-Fock method is performed. The obtained results are employed to improve the theoretical predictions for the PNC transition amplitude in Cs and Fr. Using an average value from two most accurate measurements of the vector transition polarizability, the weak charge of $^{133}$Cs is derived to amount to $ Q_W=-72.65(29)_{\rm exp}(36)_{\rm theor}$. This value deviates by $1.1\sigma$ from the prediction of the standard model. The values of the $7s$-$8s$ PNC amplitude in $^{223}$Fr and $^{210}$Fr are obtained to be $-$15.49(15) and $-$14.16(14), respectively, in units of i$\times 10^{-11}(-Q_W)/N$ a.u.
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"abstract": "The complete gauge-invariant set of the one-loop QED corrections to the\nparity-nonconserving (PNC) amplitude in cesium and francium is evaluated to all\norders in $\\alpha Z$ using a local form of the Dirac-Fock potential. The\ncalculations are performed in both length and velocity gauges for the absorbed\nphoton and the total binding QED correction is found to be $-$0.27(3)% for Cs\nand $-$0.28(5)% for Fr. Moreover, a high-precision calculation of the\nelectron-correlation and Breit-interaction effects on the 7$s-8s$ PNC amplitude\nin francium using a large-scale configuration-interaction Dirac-Fock method is\nperformed. The obtained results are employed to improve the theoretical\npredictions for the PNC transition amplitude in Cs and Fr. Using an average\nvalue from two most accurate measurements of the vector transition\npolarizability, the weak charge of $^{133}$Cs is derived to amount to $\nQ_W=-72.65(29)_{\\rm exp}(36)_{\\rm theor}$. This value deviates by $1.1\\sigma$\nfrom the prediction of the standard model. The values of the $7s$-$8s$ PNC\namplitude in $^{223}$Fr and $^{210}$Fr are obtained to be $-$15.49(15) and\n$-$14.16(14), respectively, in units of i$\\times 10^{-11}(-Q_W)/N$ a.u.",
"arxiv_id": "physics/0510084",
"authors": [
"V. M. Shabaev",
"I. I. Tupitsyn",
"K. Pachucki",
"G. Plunien",
"V. A. Yerokhin"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.72.062105",
"journal_ref": "Phys. Rev. A 72, 062105 (2005)",
"title": "Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkaline atoms",
"url": "https://arxiv.org/abs/physics/0510084"
},
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