New limits on $2\varepsilon$, $\varepsilon\beta^+$ and $2\beta^+$ decay of $^{136}$Ce and $^{138}$Ce with deeply purified cerium sample
P. Belli, R. Bernabei, R.S. Boiko, F. Cappella, R. Cerulli, F.A., Danevich, A. Incicchitti, B.N. Kropivyansky, M. Laubenstein, V.M. Mokina,, O.G. Polischuk, and V.I.Tretyak

TL;DR
This study used a highly sensitive gamma spectrometer to search for rare double beta decay processes in cerium isotopes, setting new lower bounds on their half-lives and advancing understanding of these nuclear decay modes.
Contribution
The paper reports the first application of a deeply purified cerium sample with ultra-low background detection to set new limits on double beta decay half-lives of $^{136}$Ce and $^{138}$Ce.
Findings
New half-life limits of $>10^{17}-10^{18}$ years for various decay modes.
No evidence of double beta decay observed in the studied isotopes.
Enhanced detection sensitivity due to deep purification and low-background setup.
Abstract
A search for double electron capture (), electron capture with positron emission (), and double positron emission ) in Ce and Ce was realized with a 465 cm ultra-low background HP Ge spectrometer over 2299 h at the Gran Sasso underground laboratory. A 627 g sample of cerium oxide deeply purified by liquid-liquid extraction method was used as a source of quanta expected in double decay of the cerium isotopes. New improved half-life limits were set on different modes and channels of double decay of Ce and Ce at the level of yr.
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