Vibrational branching ratios in the B 2 Σ + -X 2 Σ + and A 2 Π -X 2 Σ + optical-cycling transitions of BaH molecules are investigated using measurements and ab initio calculations. The experimental values are determined using fluorescence and absorption detection. The observed branching ratios have a very sensitive dependence on the difference in the equilibrium bond length between the excited and ground state, ∆re: a 1 pm (.5%) displacement can have a 25% effect on the branching ratios but only a 1% effect on the lifetime. The measurements are combined with theoretical calculations to reveal a preference for a particular set of published spectroscopic values for the B 2 Σ + state (∆r B−X e = +5.733 pm), while a larger bond-length difference (∆r B−X e = 6.3 − 6.7 pm) would match the branching-ratio data even better. By contrast, the observed branching ratio for the A 2 Π 3/2 -X 2 Σ + transition is in excellent agreement with both the ab initio result and the spectroscopically measured bond lengths. This shows that care must be taken when estimating branching ratios for molecular laser cooling candidates, as small errors in bond-length measurements can have outsize effects on the suitability for laser cooling. Additionally, our calculations agree more closely with experimental values of the B 2 Σ + state lifetime and spin-rotation constant, and revise the predicted lifetime of the H 2 ∆ state to 9.5 µs.
II. SPECTROSCOPY BACKGROUNDThe optical and near-infrared spectra of BaH [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] are dominated by the three 5d-complex states that correlate to the 5d state of the Ba atom: B 2 Σ + , A 2 Π, and H 2 ∆. Since all three reach below the ground-state dissociation threshold, the only decay mechanisms are radiative. In addition, these three low-lying excited states possess spectroscopic parameters that closely resemble the X 2 Σ + ground state. The resulting diagonal Franck-Condon (FC) factors ensure absorption-emission cycles arXiv:1904.07326v2 [physics.atom-ph]