Recently a breakthrough has been achieved in laser-spectroscopic studies of short-lived radioactive compounds with the first measurements of the radium monofluoride molecule (RaF) UV/vis spectra. We report results from high accuracy \emph{ab initio} calculations of the RaF electronic structure for ground and low-lying excited electronic states. Two different methods agree excellently with experimental excitation energies from the electronic ground state to the and states, but lead consistently and unambiguously to deviations from experimental-based adiabatic transition energy estimates for the excited electronic state and show that more measurements are needed to clarify spectroscopic assignment of the states.

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