Investigation of rare nuclear decays with BaF$_2$ crystal scintillator contaminated by radium
P. Belli (1), R. Bernabei (1,2), F. Cappella (3,4), V. Caracciolo (5),, R. Cerulli (5), F. A. Danevich (6), A. Di Marco (2), A. Incicchitti (3), D., V. Poda (6), O. G. Polischuk (3,6), V. I. Tretyak (3,6) ((1) INFN Roma Tor, Vergata, (2) Univ. Tor Vergata, (3) INFN Roma

TL;DR
This study measured contamination levels and decay properties of radium isotopes in a BaF$_2$ crystal scintillator, setting new limits on rare decay modes and improving existing half-life constraints.
Contribution
First measurement of radium contamination in BaF$_2$ scintillator and new limits on rare decay modes of radium isotopes.
Findings
Measured $^{212}$Po half-life as 298.8 ns.
Set limit on $^{222}$Rn beta decay branching ratio below 0.13%.
Improved half-life limits for $^{212}$Pb, $^{222}$Rn, and $^{226}$Ra.
Abstract
The radioactive contamination of a BaF scintillation crystal with mass of 1.714 kg was measured over 101 hours in the low-background DAMA/R&D set-up deep underground (3600 m w.e.) at the Gran Sasso National Laboratories of INFN (LNGS, Italy). The half-life of Po (present in the crystal scintillator due to contamination by radium) was measured as Po) = 298.80.8(stat.)1.4(syst.) ns by analysis of the events' pulse profiles. The Rn nuclide is known as 100% decaying via emission of particle with = 3.82 d; however, its decay is also energetically allowed with keV. Search for decay chains of events with specific pulse shapes characteristic for or for signals and with known energies and time differences allowed us to set, for the first time, the limit on the branching ratio of…
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