Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review

Abstract

In this review the quenching of the weak axial-vector coupling strength, $g_{\mathrm{A}}$, is discussed in nuclear $\beta$ and double-$\beta$ decays. On one hand, the nuclear-medium and nuclear many-body effects are separated, and on the other hand the quenching is discussed from the points of view of different many-body methods and different $\beta$-decay and double-$\beta$-decay processes. Both the historical background and the present status are reviewed and contrasted against each other. The theoretical considerations are tied to performed and planned measurements, and possible new measurements are urged, whenever relevant and doable. Relation of the quenching problem to the measurements of charge-exchange reactions and muon-capture rates is pointed out.

20 figures, 9 tables, 58 pages, published in Frontiers in Physics

References in corpus (21)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Phase space factors for double-$\beta$ decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Nuclear matrix elements for double-β decay
• Neutrinoless double beta decay and neutrino mass
• Precise half-life values for two neutrino double beta decay
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Vector and Axial Nucleon Form Factors:A Duality Constrained Parameterization
• Short-range correlations and neutrinoless double beta decay
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Overconstrained estimates of neutrinoless double beta decay within the QRPA
• Shell-model calculations of two-neutrino double-beta decay rates of ${}^{48}$Ca with GXPF1A interaction
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Corrections to the Neutrinoless Double-Beta-Decay Operator in the Shell Model
• Description of the $2\nu \nu \beta \beta$ decay within a fully renormalized pnQRPA approach with a restored gauge symmetry

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