Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential

Abstract

We report on the calculation of Gamow-Teller and double-beta decay properties for nuclei around 132Sn within the framework of the realistic shell model. The effective shell-model Hamiltonian and Gamow-Teller transition operator are derived by way of many-body perturbation theory, without resorting to empirical effective quenching factor for the Gamow-Teller operator. The results are then compared with the available experimental data, in order to establish the reliability of our approach. This is a mandatory step, before we apply the same methodology, in forthcoming studies, to the calculation of the neutrinoless double-beta decay nuclear matrix element for nuclei that are currently considered among the best candidates for the detection of this process.

10 pages, 13 figures, 6 tables, 1 appendix, to be published in Physical Review C

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Cited by in corpus (22)

• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Constraining nuclear physics parameters with current and future COHERENT data
• Precision Analysis of the ${}^{136}$Xe Two-Neutrino $\beta \beta$ Spectrum in KamLAND-Zen and Its Impact on the Quenching of Nuclear Matrix Elements
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Renormalization of the GT operator within the realistic shell model
• Novel neutrino-floor and dark matter searches with deformed shell model calculations
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• Elastic and inelastic scattering of neutrinos and weakly interacting massive particles on nuclei
• Early signal of emerging nuclear collectivity in neutron-rich ${}^{129}$Sb
• Benchmark neutrinoless double-beta decay matrix elements in a light nucleus
• Complex valence-space effective operators for observables: the Gamow-Teller transition
• Examinations of the consistency of the quasiparticle random-phase approximation approach to double-$\beta$ decay of ${}^{48}$Ca
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• Short-range correlations for neutrinoless double-beta decay and low-momentum NN potentials
• Emerging nuclear collectivity in ${}^{124-130}$Te
• Coulomb excitation of ${}^{124}$Te: Emerging collectivity and persisting seniority structure in the $6_1^{+}$ level
• Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion--Nucleon Isotensor Interactions
• Neutrinoless Double-Beta Decay and Realistic Shell Model