Precise $^{113}$Cd $β$ decay spectral shape measurement and interpretation in terms of possible $g_A$ quenching
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arXiv
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| Natura: | Preprint |
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2024
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| author | 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. Zolotarova, A. |
| author_facet | 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. Zolotarova, A. |
| contents | Highly forbidden $β$ 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-$β$ decay process. There are only 3 nuclei ($^{50}$V, $^{113}$Cd, $^{115}$In) which undergo a $4^{\rm th}$ forbidden non-unique $β$ 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 $β$ 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 $β$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Precise $^{113}$Cd $β$ decay spectral shape measurement and interpretation in terms of possible $g_A$ quenching 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. Zolotarova, A. Nuclear Experiment Highly forbidden $β$ 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-$β$ decay process. There are only 3 nuclei ($^{50}$V, $^{113}$Cd, $^{115}$In) which undergo a $4^{\rm th}$ forbidden non-unique $β$ 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 $β$ 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 $β$ 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. |
| title | Precise $^{113}$Cd $β$ decay spectral shape measurement and interpretation in terms of possible $g_A$ quenching |
| topic | Nuclear Experiment |
| url | https://arxiv.org/abs/2411.02944 |