High-precision $Q$-value measurement and nuclear matrix elements for the double-$\beta$ decay of ${}^{98}$Mo

Abstract

Neutrinoless double-beta ($0\nu \beta \beta$) decay and the standard two-neutrino double-beta ($2\nu \beta \beta$) decay of ${}^{98}$Mo have been studied. The double-beta decay $Q$-value has been determined as $Q_{\beta \beta }=113.668(68)$ keV using the JYFLTRAP Penning trap mass spectrometer. It is in agreement with the literature value, $Q_{\beta \beta }=109(6)$ keV, but almost 90 times more precise. Based on the measured $Q$-value, precise phase-space factors for $2\nu \beta \beta$ decay and $0\nu \beta \beta$ decay, needed in the half-life predictions, have been calculated. Furthermore, the involved nuclear matrix elements have been computed in the proton-neutron quasiparticle random-phase approximation (pnQRPA) and the microscopic interacting boson model (IBM-2) frameworks. Finally, predictions for the $2\nu \beta \beta$ decay are given, suggesting a much longer half-life than for the currently observed cases.

arXiv comment8 pages, 3 figures

References in corpus (24)

• Leptogenesis
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Neutrinoless Double-Beta Decay: Status and Prospects
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
• Phase space factors for double-$\beta$ decay
• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• Nuclear matrix elements for double-β decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Search for Neutrinoless Double-Beta Decay with the Complete EXO-200 Dataset
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Q value of the 100Mo Double-Beta Decay
• Probing Majorana neutrinos with double-$\beta$ decay
• A Search for Neutrinoless Double-Beta Decay in ${}^{76}$Ge with 26 kg-yr of Exposure from the MAJORANA DEMONSTRATOR
• Final result of CUPID-0 phase-I in the search for the ${}^{82}$Se Neutrinoless Double Beta Decay
• Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos
• Two neutrino double $\beta$ decay of 94v$\le A\le$110 nuclei for $0^{+}\to 0^{+}$ transition
• A new off-line ion source facility at IGISOL
• Testing the Inverted Neutrino Mass Ordering with Neutrinoless Double-Beta Decay
• Combined Constraints on Majorana Masses from Neutrinoless Double Beta Decay Experiments

Cited by in corpus (1)

• A Semi-Empirical Formula for Two-Neutrino Double-Beta Decay