Stark Effect of the Hyperfine Structure of Cesium-133

Abstract

The change $\ensuremath{\Delta}(\mathcal{E})$ in transition frequency of the $(F=4, {M}_{F}=0)\ensuremath{\leftrightarrow}(F=3, {M}_{F}=0)$ transition of the ground state of ${\mathrm{Cs}}^{133}$ as a result of the application of an external electric field $\mathcal{E}$ has been calculated theoretically. The effects of differences in the ground-state wave functions due to the hyperfine interaction have been included, as well as differences in energy denominators due to hyperfine structure. The calculation gives $\ensuremath{\Delta}(\mathcal{E})=\ensuremath{-}1.9\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}(1\ifmmode\pm\else\textpm\fi{}0.1){\mathcal{E}}^{2}$ cps, which is to be compared with the experimental value of $\ensuremath{-}2.29\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}(1\ifmmode\pm\else\textpm\fi{}0.03){\mathcal{E}}^{2}$ cps, where $\mathcal{E}$ is in V/cm.