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We report a measurement of the radiative lifetime of the $5s5p \;{}^{\rm{3}}P^{\rm{o}}_{\rm{0}}$ metastable state in ${}^{87}$Sr, which iscoupled to the 5$s^{\rm{2}} \;$ ${}^{\rm{1}}S_{\rm{0}}$ ground state via ahyperfine-induced electric dipole transition. The radiative lifetime isdetermined to be 151.4(48) s, in good agreement with theoretical results. Ourapproach relies on accurate measurements of laser intensity and free-space Rabifrequency, enabling lifetime measurements of any excited state and particularlysuitable for long-lived states.

Lifetime Determination of the $5s5p$ ${}^{3}P^{\rm{o}}_{0}$ Metastable State in ${}^{87}$Sr from the Electric Dipole Matrix Element