Limit on the Radiative Neutrinoless Double Electron Capture of $^{36}$Ar from GERDA Phase I
M. Agostini, M. Allardt, A.M. Bakalyarov, M. Balata, I. Barabanov, N., Barros, L. Baudis, C. Bauer, E. Bellotti, S. Belogurov, S.T. Belyaev, G., Benato, A. Bettini, L. Bezrukov, T. Bode, D. Borowicz, V. Brudanin, R., Brugnera, A. Caldwell, C. Cattadori, A. Chernogorov

TL;DR
This paper reports a search for neutrinoless double electron capture in argon-36 using GERDA Phase I data, setting a new lower limit on its half-life and contributing to the understanding of neutrino properties.
Contribution
First experimental search for neutrinoless double electron capture in argon-36 with GERDA data, establishing a new lower limit on its half-life.
Findings
No signal observed for neutrinoless double electron capture in $^{36}$Ar.
Established a lower half-life limit of 3.6 x 10^{21} years at 90% confidence.
Provides constraints on lepton number violation and Majorana neutrino theories.
Abstract
Neutrinoless double electron capture is a process that, if detected, would give evidence of lepton number violation and the Majorana nature of neutrinos. A search for neutrinoless double electron capture of Ar has been performed with germanium detectors installed in liquid argon using data from Phase I of the GERmanium Detector Array (GERDA) experiment at the Gran Sasso Laboratory of INFN, Italy. No signal was observed and an experimental lower limit on the half-life of the radiative neutrinoless double electron capture of Ar was established: 3.6 10 yr at 90 % C.I.
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