Large-scale shell-model study of two-neutrino double-beta decay of ${}^{82}$Se, ${}^{94}$Zr, ${}^{108}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd

Abstract

Large-scale shell-model calculations have been performed for the study of two neutrino double-beta ($2\nu \beta \beta$) decay in ${}^{82}$Se, ${}^{94}$Zr, ${}^{108}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd. We have employed JUN45 interaction to calculate the nuclear matrix element (NME) for $2\nu \beta \beta$ decay in ${}^{82}$Se. In the case of ${}^{94}$Zr, the glekpn effective interaction is used. For ${}^{108}$Cd, we have used a realistic effective interaction derived through the G-matrix approach. In the case of ${}^{124}$Sn, ${}^{128,130}$Te and ${}^{136}$Xe, the sn100pn effective interaction is employed. For ${}^{150}$Nd, we have used KHHE effective interaction based on holes in a ${}^{208}$Pb core. We have extracted the half-lives of these nuclei for the $2\nu \beta \beta$ decay with the help of calculated NME. Our results are consistent with the available experimental half-lives. The variation of cumulative $2\nu \beta \beta$ NME with respect to the excitation energy of the intermediate $1^{+}$ states is also shown, and in all cases, it is ensured that their values are almost saturated. In the present work we have calculated more intermediate $1^{+}$ states as much as possible in comparison to results available in the literature.

17 pages, 2 figures, 2 tables

References in corpus (10)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Precise half-life values for two neutrino double beta decay
• Measurement of the Two-Neutrino Double Beta Decay Half-life of ${}^{130}$Te with the CUORE-0 Experiment
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Shell-model calculations of two-neutrino double-beta decay rates of ${}^{48}$Ca with GXPF1A interaction
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Systematic Analysis of Double-Beta Decay Half Lives
• The first large-scale shell-model calculation of the two-neutrino double beta decay of ${}^{76}$Ge to the excited states in ${}^{76}$Se
• Estimation of nuclear matrix elements of double-$\beta$ decay from shell model and quasiparticle random-phase approximation

Cited by in corpus (5)

• Radiative and exchange corrections for two-neutrino double-beta decay
• Systematic shell-model analysis of $2\nu \beta \beta$ decay of ${}^{76}$Ge and ${}^{96}$Zr to the ground and excited states of ${}^{76}$Se and ${}^{96}$Mo
• Large-scale shell-model study of 2$\nu$ECEC process in ${}^{78}$Kr
• A Semi-Empirical Formula for Two-Neutrino Double-Beta Decay
• Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr