Search for the in-situ production of $$^{77}$$Ge in the GERDA neutrinoless double-beta decay experiment

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Abstract The beta decay of $$^{77}$$ 77 Ge and $$^{77\textrm{m}}$$ 77 m Ge, both produced by neutron capture on $$^{76}$$ 76 Ge, is a potential background for Germanium based neutrinoless double-beta decay search experiments such as GERDA or the LEGEND experiment. In this work we present a search for $$^{77}$$ 77 Ge decays in the full GERDA Phase II data set. A delayed coincidence method was employed to identify the decay of $$^{77}$$ 77 Ge via the isomeric state of $$^{77}$$ 77 As ( $$9/2^+$$ 9 / 2 + , $${475}\,\hbox {keV}$$ 475 keV , $${T_{1/2} = {114}\,{\upmu }\hbox {s}}$$ T 1 / 2 = 114 μ s , $$^{77\textrm{m}}$$ 77 m As). New digital signal processing methods were employed to select and analyze pile-up signals. No signal was observed, and an upper limit on the production rate of $$^{77}$$ 77 Ge was set at $$<0.216$$ < 0.216 nuc/(kg $$\cdot $$ · yr) (90% CL). This corresponds to a total production rate of $$^{77}$$ 77 Ge and $$^{77\textrm{m}}$$

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