6533b861fe1ef96bd12c4c06

RESEARCH PRODUCT

Statistical analysis ofβdecays and the effective value ofgAin the proton-neutron quasiparticle random-phase approximation framework

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We perform a Markov chain Monte Carlo (MCMC) statistical analysis of a number of measured ground-state-to-ground-state single ${\ensuremath{\beta}}^{+}$/electron-capture and ${\ensuremath{\beta}}^{\ensuremath{-}}$ decays in the nuclear mass range of $A=62--142$. The corresponding experimental comparative half-lives ($logft$ values) are compared with the theoretical ones obtained by the use of the proton-neutron quasiparticle random-phase approximation $(pn\mathrm{QRPA})$ 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 $pn\mathrm{QRPA}$ framework. As far as available, measured half-lives for two-neutrino $\ensuremath{\beta}{\ensuremath{\beta}}^{\ensuremath{-}}$ decays occurring in the studied isobaric chains are analyzed as well.