Statistical analysis of beta decays and the effective value of g_A in the proton-neutron quasiparticle random-phase approximation framework

Abstract

We perform a Markov Chain Monte Carlo (MCMC) statistical analysis of a number of measured ground-state-to-ground-state single ${\beta }^{+}$/electron-capture and ${\beta }^{-}$ decays in the nuclear mass range A = 62 - 142. The corresponding experimental comparative half-lives (log ft values) are compared with the theoretical ones obtained by the use of the proton-neutron quasiparticle random-phase approximation (pnQRPA) with G-matrix based effective interactions. The MCMC analysis is performed separately for 47 isobaric triplets and 28 more extended isobaric chains of nuclei to extract values and uncertainties for the effective axial-vector coupling constant g_A in nuclear-structure calculations performed in the pnQRPA framework. As far as available, measured half-lives for two-neutrino double beta-minus decays occurring in the studied isobaric chains are analyzed as well.

20 pages, 8 figures, 4 tables, matches version published in PRC

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• High precision analytical description of the allowed $\beta$ spectrum shape
• Precision Analysis of the ${}^{136}$Xe Two-Neutrino $\beta \beta$ Spectrum in KamLAND-Zen and Its Impact on the Quenching of Nuclear Matrix Elements
• Impact of the quenching of $g_{\mathrm{A}}$ on the sensitivity of $0\nu \beta \beta$ experiments
• Nuclear modification of scalar, axial and tensor charges from lattice QCD
• Quenching of $g_{\mathrm{A}}$ deduced from the $\beta$-spectrum shape of ${}^{113}$Cd measured with the COBRA experiment
• $\mathcal{F}t$ values of the mirror $\beta$ transitions and the weak magnetism induced current in allowed nuclear $\beta$ decay
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{59,60}$Fe: Possible candidates for $g_A$ sensitive electron spectral-shape measurements
• Neutron-proton pairing and double-beta decay in the interacting boson model
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• Probing the Nature of Heavy Neutral Leptons in Direct Searches and Neutrinoless Double Beta Decay
• Description and prediction of even-A nuclear masses based on residual proton-neutron interactions