Stark Effect in Ground-State Hyperfine Structure Calculated for Na and K Atoms

Abstract

We have used perturbation theory to calculate the shift due to an electric field E in the frequency of the hfs transition $(F=I+\frac{1}{2},0)\leftrightarrow (F=I-\frac{1}{2},0)$ for the ground states of the Na and K atoms. The frequency shift $\delta f=-k\times {10}^{-6\mathrm{}}{E}^2\frac{\mathrm{Hz}}{{\left(\frac{\mathrm{V}}{\mathrm{cm}}\right)}^2}$, and we calculate $k$ to be 0.111 and 0.061 for Na and K, respectively. Electron correlations are not included. The corresponding experimental values measured by Mowat are 0.124 ± 0.004 and 0.071 ± 0.002.