D Calonico et al 2009 Metrologia 46 629 doi:10.1088/0026-1394/46/6/004
D Calonico, F Levi, L Lorini and G Mana
Show affiliationsCaesium-fountain frequency standards realize the second in the International System of Units with a relative uncertainty approaching 10−16. Among the main contributions to the accuracy budget, cold collisions play an important role because of the atomic density shift of the reference atomic transition. This paper describes an application of the Bayesian analysis of the clock frequency to estimate the density shift and describes how the Bayes theorem allows the a priori knowledge of the sign of the collisional coefficient to be rigorously embedded into the analysis. As an application, data from the INRIM caesium fountain are used and the Bayesian and orthodox analyses are compared. The Bayes theorem allows the orthodox uncertainty to be reduced by 28% and demonstrates that it is an important tool in primary frequency metrology.
Issue 6 (December 2009)
Received 10 April 2009, in final form 1 September 2009
Published 7 October 2009
D Calonico et al 2009 Metrologia 46 629
J. I. González Hernández et al. 2009 ApJ 706 866
D. Weedman et al. 2006 ApJ 653 101
A S Kheifets et al 2002 J. Phys. B: At. Mol. Opt. Phys. 35 L15
P. M. Solomon et al. 1997 ApJ 478 144
J Schnack et al 2006 J. Phys.: Conf. Ser. 51 43
K. L. Luhman et al. 2003 ApJ 590 348
Markus J. Aschwanden and David Tsiklauri 2009 ApJS 185 171
Patrick Ogle et al. 2006 ApJ 647 161
Vadim V Cheianov and M B Zvonarev 2004 J. Phys. A: Math. Gen. 37 2261