Evaluation of the Blackbody Radiation Effects in Atomic Frequency Standards

The main goal of this paper is to analyze the higher-order Stark effect on hyperfine structure (hfs) components of Cs and Rb atoms as well as the temperature-dependent shift of 6S_1/2 hfs splitting due to blackbody radiation effects on the 6S_1/2(I=3, M_I=0) - 6S_1/2(I=4,M_I=0) clock transition. An estimate is given based on the model potential method for the contribution of an infinite series over bound states, including the integral over the continuum, for second- and higher-order matrix elements.