Level-crossing spectroscopy of the 7, 9, and $10D_{5∕2}$ states of ${}^{133}\mathrm{Cs}$ and validation of relativistic many-body calculations of the polarizabilities and hyperfine constants

We present an experimental and theoretical investigation of the polarizabilities and hyperfine constants of $D_J$ states in ${}^{133}\mathrm{Cs}$ for $J=3∕2$ and $5∕2$. Experimental values for the hyperfine constant $A$ are obtained from level-crossing signals of the $(7,9,10)D_{5∕2}$ states of ${}^{133}\mathrm{Cs}$ and precise calculations of the tensor polarizabilities ${\alpha }_2$. The results of relativistic many-body calculations for scalar and tensor polarizabilities of the $(5–10)D_{3∕2}$ and $(5–10)D_{5∕2}$ states are presented and compared with measured values from the literature. Calculated values of the hyperfine constants $A$ for these states are also presented and checked for consistency with experimental values.

Figure 1

Hyperfine level-splitting diagram in an external electric field for the (a) $7D_{3∕2}$, (b) $7D_{5∕2}$, (c) $9D_{5∕2}$, and (d) $10D_{5∕2}$ states of Cs. Circled points indicate level crossings with $\Delta m_F=\pm 2$.

Figure 2

(Color online) Level excitation scheme.

Figure 3

Experimental geometry.

Figure 4

Experimental results for $7D_{5∕2}$.

Figure 5

Experimental results for $9D_{5∕2}$.

Figure 6

Experimental results for $10D_{5∕2}$.