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High-accuracy calculation of black-body radiation shift in $^{133}$Cs primary frequency standard

K. Beloy·U. I. Safronova·A. Derevianko
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Abstract

Black-body radiation (BBR) shift is an important systematic correction for the atomic frequency standards realizing the SI unit of time. Presently, there is a controversy over the value of the BBR shift for the primary $^{133}$Cs standard. At room temperatures the values from various groups differ at $3 \times 10^{-15}$ level, while the modern clocks are aiming at $10^{-16}$ accuracies. We carry out high-precision relativistic many-body calculations of the BBR shift. For the BBR coefficient $β$ at $T=300K$ we obtain $β=-(1.708\pm0.006) \times 10^{-14}$, implying $6 \times 10^{-17}$ fractional uncertainty. While in accord with the most accurate measurement, our 0.35%-accurate value is in a substantial, 10%, disagreement with recent semi-empirical calculations. We identify an oversight in those calculations.

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K. Beloy, U. I. Safronova, A. Derevianko. 2006-06-06. High-accuracy calculation of black-body radiation shift in $^{133}$Cs primary frequency standard. https://doi.org/10.1103/physrevlett.97.040801

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