Nuclear matrix elements for double-β decay

Abstract

Background: Direct determination of the neutrino mass through double-$\beta$ decay is at the present time one of the most important areas of experimental and theoretical research in nuclear and particle physics. Purpose: We calculate nuclear matrix elements for the extraction of the average neutrino mass in neutrinoless double-$\beta$ decay. Methods: The microscopic interacting boson model (IBM-2) is used. Results: Nuclear matrix elements in the closure approximation are calculated for ${}^{48}$Ca, ${}^{76}$Ge, ${}^{82}$Se, ${}^{96}$Zr, ${}^{100}$Mo, ${}^{110}$Pd, ${}^{116}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{148}$Nd, ${}^{150}$Nd, ${}^{154}$Sm, ${}^{160}$Gd, and ${}^{198}$Pt decay. Conclusions: Realistic predictions for the expected half-lives in neutrinoless double-$\beta$ decay with light and heavy neutrino exchange in terms of neutrino masses are made and limits are set from current experiments.

23 pages, 13 figures; http://link.aps.org/doi/10.1103/PhysRevC.87.014315

References in corpus (46)

• Evidence for oscillation of atmospheric neutrinos
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Phase space factors for double-$\beta$ decay
• Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990-2003
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The Igex 76ge Neutrinoless Double-Beta Decay Experiment: Prospects for Next Generation Experiments
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• A unitary correlation operator method
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Measurement of the double-βdecay half-life of ^{136}Xe with the KamLAND-Zen experiment
• Shell Model Study of the Double Beta Decays of ${}^{76}$Ge, ${}^{82}$Se and ${}^{136}$Xe
• Precise half-life values for two neutrino double beta decay
• Observation of Two-Neutrino Double-Beta Decay in Xe-136 with EXO-200
• Observables sensitive to absolute neutrino masses. II
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Neutrinoless double-beta decay and effective field theory
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Dominance of Pion-exchange in R-parity Violating Supersymmetry Contributions to Neutrinoless Double Beta Decay
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Observables sensitive to absolute neutrino masses: A reappraisal after WMAP-3y and first MINOS results
• Neutrino accompanied beta^-beta^-, beta^+beta^+, beta^+/EC and EC/EC processes within single state dominance hypothesis
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• Nuclear matrix elements of double beta decay from beta decay
• Limits on different Majoron decay modes of ${}^{100}$Mo and ${}^{82}$Se for neutrinoless double beta decays in the NEMO-3 experiment
• Shell-model calculations of two-neutrino double-beta decay rates of ${}^{48}$Ca with GXPF1A interaction
• Double Beta Decay: Historical Review of 75 Years of Research
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• The Single State Dominance Hypothesis and the Two-Neutrino Double Beta Decay of Mo100
• Nuclear deformation and neutrinoless double-$\beta$ decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd nuclei in mass mechanism
• Neutrinoless Double Beta Decay of Ge76, Se82, Mo100 and Xe136 to excited 0^+ states
• Sense and sensitivity of double beta decay experiments
• Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation
• Neutrinoless double beta decay of ${}^{150}$Nd with account for deformation
• Nucleon Form Factors of the Isovector Axial-Vector Current: Situation of Experiments and Theory
• Generalized seniority with realistic interactions in open-shell nuclei

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