Blackbody radiation shift of the 133Cs hyperfine transition frequency

We report the theoretical evaluations of the static scalar polarizability of the 133Cs ground state and of the blackbody radiation shift induced on the transition frequency between the two hyperfine levels with mF=0. This shift is of fundamental importance in the evaluation of the accuracy of the primary frequency standards based on atomic fountains and is employed in the realization of the SI second in the International Atomic Time scale at the level of 1×10−15. Our computed value for the polarizability is α0=(6.600±0.016)×10−39C m2∕V in agreement at the level of 1×10−3 with recent theoretical and experimental values. As regards the blackbody radiation shift we find for the relative hyperfine transition frequency β=(−1.49±0.07)×10−14 at T=300 K in agreement with frequency measurements reported by our group and by Bauch and Schröder [Phys. Rev. Lett. 78, 622 (1997)]. This value is lower by 2×10−15 than that obtained with measurem...