Abstract
The resonance fluorescence from the $^{138}\mathrm{Ba}$ I 5535-\AA{} 6${\mathit{s}}^{21}$${\mathit{S}}_{0}$-6s6p $^{1}$${\mathit{P}}_{1}$ transition has been measured as a function of incident intensity using a Doppler-free atomic beam geometry and a single-mode cw dye laser. The upper $^{1}\mathrm{P}_{1}$ level has a weak branch to intermediate metastable D states. A long laser-atom interaction region was used, which ensured that essentially all atoms could be pumped into the D states during their transit through the laser beam. By analyzing the shape of the saturation curve a value for the branching ratio to the 6s5d $^{1}$,3D levels of (3.57\ifmmode\pm\else\textpm\fi{}0.38)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}3}$ has been obtained.
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