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Magneto-optically trapped atoms enable the determination of lifetimes ofmetastable states and higher lying excited states like the$\rm{5d^{2}~^{3}F_{2}}$ state in barium. The state is efficiently populated bydriving strong transitions from metastable states within the cooling cycle ofthe barium MOT. The lifetime is inferred from the increase of MOT fluorescenceafter the transfer of up to $30\,\%$ of the trapped atoms to this state. Theradiative decay of the $\rm{5d^{2}~^{3}F_{2}}$ state cascades to the coolingcycle of the MOT with a probability of $96.0(7)\,\%$ corresponding to a traploss of $4.0(7)\,\%$ and its lifetime is determined to $\rm{160(10)~\mu s}$.This is in good agreement with the theoretically calculated lifetime of$\rm{190~\mu s}$ [J. Phys. B, {\bf 40}, 227 (2007)]. The determined loss of$4.0(7)\,\%$ from the cooling cycle is compared with the theoreticallycalculated branching ratios. This measurement extends the efficacy of trappedatoms to measure lifetimes of higher, long-lived states and validate the atomicstructure calculations of heavy multi-electron systems.

Lifetime determination of the 5d$^{2}$~$^{3}$F$_{2}$ state in barium using trapped atoms