Measurement of the hyperfine coupling constants and absolute energies of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>12</mml:mn><mml:mi>s</mml:mi><mml:mo> </mml:mo><mml:mrow><mml:msup><mml:mrow/><mml:mn>2</mml:mn></mml:msup><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mn>13</mml:mn><mml:mi>s</mml:mi><mml:mo> </mml:mo><mml:mrow><mml:msup><mml:mrow/><mml:mn>2</mml:mn></mml:msup><mml:msub><mml:mi>S</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>11</mml:mn><mml:mi>d</mml:mi><mml:mo> </mml:mo><mml:mrow><mml:msup><mml:mrow/><mml:mn>2</mml:mn></mml:msup><mml:msub><mml:mi>D</mml:mi><mml:mi>J</mml:mi></mml:msub></mml:mrow></mml:math> levels in atomic cesium
Jonah Quirk, Amy Damitz, Carol E. Tanner, D. S. Elliott
Abstract
We report measurements of the absolute energies of the hyperfine components of the $12s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}$ and $13s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}$ levels of atomic cesium, $^{133}\mathrm{Cs}$. 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 $\ensuremath{\sim}0.06$%. We also examine the hyperfine structure of the $11d{\phantom{\rule{0.16em}{0ex}}}^{2}{D}_{J}$ ($J=3/2,5/2$) 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 $12s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}, 13s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}$, and $11d{\phantom{\rule{0.16em}{0ex}}}^{2}{D}_{J}$ states of cesium.