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arXiv physics/0501165physics.atom-phphysics.gen-ph
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对$^{133}$ Cs中宇称非守恒6s-7s振幅的QED修正

QED corrections to the parity-nonconserving 6s-7s amplitude in $^{133}$Cs

V. M. Shabaev, K. Pachucki, I. I. Tupitsyn, V. A. Yerokhin

摘要:

利用局部的Dirac-Hartree-Fock势,在$αZ$中计算了对$^{133}$ Cs中宇称非守恒6s-7s振幅的单圈QED修正的完整规范不变集.计算是在长度计和速度计上进行的。发现总结合QED校正为-0.27(3)%,这与先前对该效应的评估不同。使用矢量跃迁极化率$β$的两个最精确的值导出的$^{133}$ Cs的弱电荷是$Q_W=-72.57(46)$(对于$β= 26.957(51) a_{\rm B}^3$)和$Q_W=-73.09(54)$(对于$β= 27.15(11)a_{\rm B}^3 $)。第一个值与标准模型的预测值相差$1.1σ$,而第二个值与标准模型的预测值完全一致。

英文摘要:

The complete gauge-invariant set of the one-loop QED corrections to the parity-nonconserving 6s-7s amplitude in $^{133}$Cs is evaluated to all orders in $αZ$ using a local version of the Dirac-Hartree-Fock potential. The calculations are peformed in both length and velocity gauges for the absorbed photon. The total binding QED correction is found to be -0.27(3)%, which differs from previous evaluations of this effect. The weak charge of $^{133}$Cs, derived using two most accurate values of the vector transition polarizability $β$, is $Q_W=-72.57(46)$ for $β= 26.957(51) a_{\rm B}^3$ and $Q_W=-73.09(54)$ for $β= 27.15(11)a_{\rm B}^3 $. The first value deviates by $1.1σ$ from the prediction of the Standard Model, while the second one is in perfect agreement with it.

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