1. Precise $^{113}$Cd $\beta$ decay spectral shape measurement and interpretation in terms of possible $g_A$ quenching
- Author
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Bandac, I., Berge, L., Calvo-Mozota, J. M., Carniti, P., Chapellier, M., Danevich, F. A., Dixon, T., Dumoulin, L., Ferri, F., Giuliani, A., Gotti, C., Gras, Ph., Helis, D. L., Imbert, L., Khalife, H., Kobychev, V. V., Kostensalo, J., Loaiza, P., de Marcillac, P., Marnieros, S., Marrache-Kikuchi, C. A., Martinez, M., Nones, C., Olivieri, E., de Solórzano, A. Ortiz, Pessina, G., Poda, D. V., Scarpaci, J. A., Suhonen, J., Tretyak, V. I., Zarytskyy, M., and Zolotarova, A.
- Subjects
Nuclear Experiment - Abstract
Highly forbidden $\beta$ 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-$\beta$ decay process. There are only 3 nuclei ($^{50}$V, $^{113}$Cd, $^{115}$In) which undergo a $4^{\rm th}$ forbidden non-unique $\beta$ decay. In this work, we compare the experimental $^{113}$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 $\beta$ spectrum of $^{113}$Cd embedded in a 0.43 kg CdWO$_4$ 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, $g_A^{\text{eff}}$, which resulted in $g_A^{\text{eff}}$ between 1.0 and 1.2, compatible with a possible quenching. Based on the fit, we measured the half-life of the $^{113}$Cd $\beta$ decay including systematic uncertainties as $7.73^{+0.60}_{-0.57} \times 10^{15}$ yr, in agreement with the previous experiments. These results represent a significant step towards a better understanding of low-energy nuclear processes., Comment: Accepted for publication by EPJC
- Published
- 2024