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Materials selection for rare event physics requires high performancedetectors and customized analyses. In this context a novel $\beta$-$\gamma$detection system, comprised of a liquid scintillator in coincidence with aHPGe, was developed with the main purpose of studying ultra trace contaminationof uranium, thorium and potassium in liquid samples. In the search for$^{238}\textrm{U}$ contaminations through neutron activation analysis, sincethe activation product $^{239}\textrm{Np}$ decays to a relatively long-livedisomeric state of $^{239}\textrm{Pu}$, it is possible to perform a timeselection of these events obtaining a strong background suppression.Investigating the time distribution of the coincidences between the $\beta^-$decay of $^{239}\textrm{Np}$ and the delayed events following the de-excitationof the $^{239}\textrm{Pu}$ isomeric level at 391.6 keV, a precision measurementof the half-life of this level was conducted. The half-life of the 391.6 keV$^{239}\textrm{Pu}$ level resulted $190.2 \pm 0.2$ ns, thus increasing theprecision by about a factor of 20 over previous measurements.

High precision measurement of the half-life of the 391.6 keV metastable level in 239Pu