Precise Cd decay spectral shape measurement and interpretation in terms of possible quenching
I. Bandac🇪🇸 · L. Berge🇫🇷 · J.M. Calvo-Mozota🇪🇸 · P. Carniti🇮🇹 · M. Chapellier🇫🇷 · F. A. Danevich🇺🇦 · T. Dixon🇫🇷 · L. Dumoulin🇫🇷 · F. Ferri🇫🇷 · A. Giuliani🇫🇷 · C. Gotti🇮🇹 · Ph. Gras🇫🇷 and 20 other authors
Highly forbidden decays provide a sensitive test to nuclear models in a regime in which the decay goes through high spin-multipole states, similar to the neutrinoless double- decay process. There are only 3 nuclei (V, Cd, In) which undergo a forbidden non-unique decay. In this work, we compare the experimental Cd spectrum to theoretical spectral shapes in the framework of the spectrum-shape method. We measured with high precision, with the lowest energy threshold and the best energy resolution ever, the spectrum of Cd embedded in a 0.43 kg CdWO crystal, operated over 26 days as a bolometer at low temperature in the Canfranc underground laboratory (Spain). We performed a Bayesian fit of the experimental data to three nuclear models (IBFM-2, MQPM and NSM) allowing the reconstruction of the spectral shape as well as the half-life. The fit has two free parameters, one of which is the effective weak axial-vector coupling constant, , which resulted in between 1.0 and 1.2, compatible with a possible quenching. Based on the fit, we measured the half-life of the Cd decay including systematic uncertainties as yr, in agreement with the previous experiments. These results represent a significant step towards a better understanding of low-energy nuclear processes.