Precision Measurements of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:msup><mml:mrow><mml:mi>Ba</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>138</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>6</mml:mn><mml:mi>s</mml:mi><mml:msub><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>5</mml:mn><mml:mi>d</mml:mi><mml:msub><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow><mml:mrow><mml:mn>5</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> Clock Transition
K. J. Arnold, R. Kaewuam, Sapam Ranjita Chanu, Ting Rei Tan, Zhiqiang Zhang, M. D. Barrett
Abstract
Measurement of the $^{138}{\mathrm{Ba}}^{+}$ ${^{2}S}_{1/2}\ensuremath{-}{^{2}D}_{5/2}$ clock transition frequency and ${D}_{5/2}$ Land\'e ${g}_{J}$ factor are reported. The clock transition frequency ${\ensuremath{\nu}}_{{\mathrm{Ba}}^{+}}=170126432449333.31\ifmmode\pm\else\textpm\fi{}(0.39{)}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}(0.29{)}_{\mathrm{sys}}\text{ }\text{ }\mathrm{Hz}$, is obtained with accuracy limited by the frequency calibration of the maser used as a reference oscillator. The Land\'e ${g}_{J}$ factor for the ${^{2}D}_{5/2}$ level is determined to be ${g}_{D}=1.20036739(24)$, which is a 30-fold improvement on previous measurements. The $g$-factor measurements are corrected for an ac-magnetic field from trap-drive-induced currents in the electrodes, and data taken over a range of magnetic fields underscores the importance of accounting for this systematic.