Measurement of the hyperfine coupling constants and absolute energies of the $12s \ ^2S_{1/2}$, $13s \ ^2S_{1/2}$, and $11d \ ^2D_{J}$ levels in atomic cesium

TL;DR

This paper reports precise measurements of hyperfine coupling constants and absolute energies of specific cesium atomic states, resolving previous ambiguities and providing high-precision data for these levels.

Contribution

It introduces new high-precision measurements of hyperfine constants and energies for cesium's $12s$, $13s$, and $11d$ states, resolving previous uncertainties.

Findings

Hyperfine coupling constants determined with 0.06% uncertainty.

Sign ambiguity in hyperfine constants of $11d$ states resolved.

New high-precision energies for cesium's $12s$, $13s$, and $11d$ states derived.

Abstract

We report measurements of the absolute energies of the hyperfine components of the $12s \ ^2S_{1/2}$ and $13s \ ^2S_{1/2}$ levels of atomic cesium, $^{133}$Cs. Using the frequency difference between these components, we determine the hyperfine coupling constants for these states, and report these values with a relative uncertainty of $\sim$0.06 %. We also examine the hyperfine structure of the $11d \ ^2D_{J}$ ($J=3/2, 5/2$) states, and resolve the sign ambiguity of the hyperfine coupling constants from previous measurements of these states. We also derive new, high precision values for the state energies of the $12s \ ^2S_{1/2}$, $13s \ ^2S_{1/2}$ and $11d \ ^2D_{J}$ states of cesium.