Branching fractions for $P_{3/2}$ decays in Ba${}^{+}$

Abstract

Branching fractions for decays from the $P_{3/2}$ level in ${}^{138}$Ba${}^{+}$ have been measured with a single laser-cooled ion. Decay probabilities to $S_{1/2}$, $D_{3/2}$ and $D_{5/2}$ are determined to be $0.741716(71)$, $0.028031(23)$ and $0.230253(61)$, respectively, which are an order of magnitude improvement over previous results. Our methodology only involves optical pumping and state detection, and is hence relatively free of systematic effects. Measurements are carried out in two different ways to check for consistency. Our analysis also includes a measurement of the $D_{5/2}$ lifetime, for which we obtain 30.14(40)\,s.

arXiv comment9 pages, 7 figures

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• Measurement of the tune-out wavelength for ${}^{133}$Cs at $880$ nm
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Role of triple excitations in calculating different properties of Ba+
• Theoretical characterisation of the barium II and radium II ions
• Zero crossings of the differential scalar polarizability of Ba${}^{+}$ clock transition