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

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 $\beta$ at $T=300K$ we obtain $\beta =-(1.708\pm 0.006)\times 10^{-14}$, 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.

arXiv comment4 pages

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