Measurements of gJ Ratios for Rb85, Rb87, Hydrogen, and Deuterium, and of the Hyperfine Separation of Deuterium

Abstract

An optical pumping technique has been used to measure atomic $g$-factor ratios among ${\mathrm{Rb}}^{85}$, ${\mathrm{Rb}}^{87}$, hydrogen, and deuterium, and the ground-state hyperfine separation in deuterium. An evacuated wall-coated optical absorption cell was employed for its advantages of a narrow and symmetric magnetic-resonance line shape. Measurements were carried out at applied magnetic fields of 7.6 and 14.5 G, and with both senses of circular polarization of the Rb pumping light. The Rb $g_J$ ratios quoted are the averages of measurements for both ${\mathrm{Rb}}^{85}$ and ${\mathrm{Rb}}^{87}$ at both magnetic fields and both senses of circular polarization of the Rb pumping light, and the "extreme $m_F$" Zeeman transitions yielding the strongest Rb optical pumping signals were the ones measured with a given polarization sense. The results were $\frac{g_J\left({\mathrm{Rb}}^{85,87}\right)}{g_J\left(\mathrm{H}\right)}=1+(23.6\mathrm{}\pm 0.4)\times {10}^{-6\mathrm{}}$, and $\frac{g_J\left({\mathrm{Rb}}^{85,87}\right)}{g_J\left(\mathrm{D}\right)}=1+(23.5\mathrm{}\pm 0.3)\times {10}^{-6\mathrm{}}$. Comparing $\frac{g_J\left(\mathrm{Rb}\right)}{g_J\left(\mathrm{H}\right)}$ and $\frac{g_J\left(\mathrm{Rb}\right)}{g_J\left(\mathrm{D}\right)}$ measurements for specific Rb transitions yielded the ratio $\frac{g_J\left(\mathrm{D}\right)}{g_J\left(\mathrm{H}\right)}=1+(0.1\mathrm{}\pm 0.2)\times {10}^{-6\mathrm{}}$. The result for the measurement of the deuterium hyperfine separation was $\Delta \nu \left(\mathrm{D}\right)=327\mathrm{}384352.6\pm 1.2$ cps.