Determination of an Isotope Shift in the Ratio of AtomicgJValues of Hydrogen and Deuterium

Abstract

The ratio $\frac{g_J\left(\mathrm{H}\right)}{g_J\left(\mathrm{D}\right)}$ in the electronic ground state has been determined using optical pumping of Rb and spin-exchange detection of H and D atomic Zeeman resonances. The result is $\frac{g_J\left(\mathrm{H}\right)}{g_J\left(\mathrm{D}\right)}=1+(7.2\mathrm{}\pm 3.0)\times {10}^{-9\mathrm{}}$. The error includes an estimate of possible systematic effects.