Nuclear Structure Aspects of the Neutrinoless Double Beta Decay

Abstract

In this article, we analyze some nuclear structure aspects of the neutrinoless double beta decay nuclear matrix elements (NME), in the framework of the Interacting Shell Model. We give results for the decays of 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te, and 136Xe, using improved effective interactions and valence spaces. We examine the dependence of the NME's on the effective interaction and the valence space, and analyze the effects of the short range correlations and the finite size of the nucleon. Finally we study the influence of the deformation on the values of the NME's.

To appear in EJP-A

References in corpus (10)

• Evidence for oscillation of atmospheric neutrinos
• 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
• The Shell Model as Unified View of Nuclear Structure
• Effective interaction for pf-shell nuclei
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Short-range correlations and neutrinoless double beta decay
• What can we learn from neutrinoless double beta decay experiments?

Cited by in corpus (43)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta 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
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• Neutrinoless double beta decay in seesaw models
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay within the PHFB model
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• Novel shell-model analysis of the ${}^{136}$Xe double beta decay nuclear matrix elements
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Recent Progress in Double Beta Decay
• Large-scale shell-model analysis of the neutrinoless $\beta \beta$ decay of ${}^{48}$Ca
• Shell Model Analysis of the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• The light neutrino exchange mechanism of the $0\nu \beta \beta$-decay with left- and right-handed leptonic and hadronic currents revisited
• Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• 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
• Renormalization of the GT operator within the realistic shell model
• Relation between the $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements revisited
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Neutrinoless Double Beta-Decay
• Statistical analysis of beta decays and the effective value of g_A in the proton-neutron quasiparticle random-phase approximation framework
• Contributions of different neutron pairs in different approaches for neutrinoless double beta decay
• Correlations and neutrinoless $\beta \beta$ decay nuclear matrix elements of $pf$-shell nuclei
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• The COBRA demonstrator at the LNGS underground laboratory
• Neutrinoless Double Beta Decay and H^{\pm\pm}\to {l'}^\pm l^\pm Decays in the Higgs Triplet Model
• Neutrinoless Double-$\beta$ Decay with Nonstandard Majoron Emission
• Spin dipole nuclear matrix elements for double beta decay nuclei by charge-exchange reactions
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction
• Novel Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
• Uncertainties in nuclear transition matrix elements for ${\beta }^{+}{\beta }^{+}$ and $\epsilon {\beta }^{+}$ modes of neutrinoless positron double-$\beta$ decay within PHFB model
• Quadrupolar correlations and deformation effect on two neutrino $\epsilon {\beta }^{+}$ and $\epsilon \epsilon$ modes of ${}^{156}$Dy isotope
• Can one measure nuclear matrix elements of neutrinoless double beta decay?
• Composite macro-bolometers for the rejection of surface radioactive background in rare-event experiments
• Investigation of pair-correlated $0^{+}$ states in ${}^{134}$Ba via the ${}^{136}$Ba($p,t$) reaction
• Double Beta Decay Experiments at Canfranc Underground Laboratory
• On the possibility to measure nuclear matrix elements of neutrinoless double beta decay in charge-exchange reactions
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$\beta$ decay