Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay

Abstract

We present an extensive study of nuclear matrix elements (NME) for the neutrinoless double beta decay of the nuclei ${}^{48}$Ca, ${}^{76}$Ge, ${}^{82}$Se, ${}^{96}$Zr, ${}^{100}$Mo, ${}^{116}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd based on state-of-the-art energy density functional methods using the Gogny D1S functional. Beyond mean-field effects are included within the generating coordinate method with particle number and angular momentum projection for both initial and final ground states. We obtain a rather constant value for the NME's around 4.7 with the exception of ${}^{48}$Ca and ${}^{150}$Nd, where smaller values are found. We analyze the role of deformation and pairing in the evaluation of the NME and present detailed results for the decay of ${}^{150}$Nd.

accepted in Phys. Rev. Lett

References in corpus (15)

• The Shell Model as Unified View of Nuclear Structure
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• 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
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• A unitary correlation operator method
• Particle number projection with effective forces
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• A deformed QRPA formalism for single and two-neutrino double beta decay
• The occupancies of individual orbits and the nuclear matrix element of the ${}^{76}$Ge neutrinoless $\beta \beta$ decay
• 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
• Deformation effects and neutrinoless positron $\beta \beta$ decay of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes within Majorona neutrino mass mechanism

Cited by in corpus (204)

• 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
• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Neutrino-less Double Beta Decay and Particle Physics
• Search for Majorana neutrinos with the first two years of EXO-200 data
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Neutrinoless double beta decay: 2015 review
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Three-body forces: From cold atoms to nuclei
• $0\nu \beta \beta$ 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
• Current Status and Future Prospects of the SNO+ Experiment
• First Results from CUORE: A Search for Lepton Number Violation via $0\nu \beta \beta$ Decay of ${}^{130}$Te
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
• Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
• Neutrinoless double beta decay and neutrino mass
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Search for Neutrinoless Double-Beta Decay of ${}^{130}$Te with CUORE-0
• Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model
• Improved Limit on Neutrinoless Double-Beta Decay in ${}^{130}$Te with CUORE
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Neutrinoless double-beta decay. A brief review
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
• NEXO: Neutrinoless double beta decay search beyond $10^{28}$ year half-life sensitivity
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Symmetry restoration in mean-field approaches
• New Calculations for Phase Space Factors Involved in Double Beta Decay
• Neutrinoless Double Beta Decay
• Shell model predictions for ${}^{124}$Sn double-beta decay
• Constraining Neutrino Mass from Neutrinoless Double Beta Decay
• Analysis of Light Neutrino Exchange and Short-Range Mechanisms in $0\nu \beta \beta$ Decay
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• First Result on the Neutrinoless Double Beta Decay of ${}^{82}$Se with CUPID-0
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• The $0\nu \beta \beta$-decay nuclear matrix element for light and heavy neutrino mass mechanisms from deformed QRPA cacluations for ${}^{76}$Ge, ${}^{82}$Se, ${}^{130}$Te, ${}^{136}$Xe and ${}^{150}$Nd with isospin restoration
• Novel shell-model analysis of the ${}^{136}$Xe double beta decay nuclear matrix elements
• Final Result of the MAJORANA DEMONSTRATOR's Search for Neutrinoless Double-$\beta$ Decay in ${}^{76}$Ge
• Final result of CUPID-0 phase-I in the search for the ${}^{82}$Se Neutrinoless Double Beta Decay
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Recent Progress in Double Beta Decay
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Results on $\beta \beta$ decay with emission of two neutrinos or Majorons in ${}^{76}$Ge from GERDA Phase I
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Measurement of the double-beta decay half-life and search for the neutrinoless double-beta decay of ${}^{48}\mathrm{Ca}$ with the NEMO-3 detector
• Towards grounding nuclear physics in QCD
• Analysis Techniques for the Evaluation of the Neutrinoless Double-Beta Decay Lifetime in ${}^{130}$Te with CUORE-0
• Initial performance of the CUORE-0 experiment
• Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation
• Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture
• Status and prospects of searches for neutrinoless double beta decay
• Nuclear structure and double beta decay
• Measurement of the 2$\nu \beta \beta$ decay half-life of ${}^{150}$Nd and a search for 0$\nu \beta \beta$ decay processes with the full exposure from the NEMO-3 detector
• Generator-coordinate reference states for spectra and $0\nu \beta \beta$ decay in the in-medium similarity renormalization group
• Impact of the quenching of $g_{\mathrm{A}}$ on the sensitivity of $0\nu \beta \beta$ experiments
• The ${}^{150}$Nd(${}^3$He,$t$) and ${}^{150}$Sm($t$,${}^3$He) reactions with applications to $\beta \beta$ decay of ${}^{150}$Nd
• Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos
• Ab initio calculation of the contact operator contribution in the standard mechanism for neutrinoless double beta decay
• Neutrinoless Double-Electron Capture
• Search for Neutrinoless Double-Beta Decay of ${}^{100}$Mo with the NEMO-3 Detector
• First Direct Double-Beta Decay Q-value Measurement of 82Se in Support of Understanding the Nature of the Neutrino
• Short-Range Neutrinoless Double Beta Decay Mechanisms
• Evidence for rigid triaxial deformation in ${}^{76}$Ge from a model-independent analysis
• A Global Bayesian Analysis of Neutrino Mass Data
• Proton-Neutron Pairing Amplitude as a Generator Coordinate for Double-Beta Decay
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Shell model analysis of competing mechanism to the double-beta decay of ${}^{48}$Ca
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Sense and sensitivity of double beta decay experiments
• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• Multi-isotope degeneracy of neutrinoless double beta decay mechanisms in the quasi-particle random phase approximation
• Final Result on the Neutrinoless Double Beta Decay of ${}^{82}$Se with CUPID-0
• Measurement of the $2\nu \beta \beta$ Decay Half-Life and Search for the $0\nu \beta \beta$ Decay of ${}^{116}$Cd with the NEMO-3 Detector
• Neutrinoless double-$\beta$ decay of ${}^{82}$Se in the shell model: beyond closure approximation
• Gamow-Teller strength in ${}^{48}$Ca and ${}^{78}$Ni with the charge-exchange subtracted second random-phase approximation
• Nature of $\gamma$-deformation in Ge and Se nuclei and the triaxial projected shell model description
• Quenching of nuclear matrix elements for $0\nu \beta \beta$ decay by chiral two-body currents
• Ab initio uncertainty quantification of neutrinoless double-beta decay in ${}^{76}$Ge
• Error Analysis in Nuclear Density Functional Theory
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• The NEXT-100 experiment for neutrinoless double beta decay searches (Conceptual Design Report)
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Neutrinoless Double Beta Decay, the Inverted Hierarchy and Precision Determination of theta(12)
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Statistical analysis of beta decays and the effective value of g_A in the proton-neutron quasiparticle random-phase approximation framework
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Physics potential of searching for $0\nu \beta \beta$ decays in JUNO
• Ab initio benchmarks of neutrinoless double beta decay in light nuclei with a chiral Hamiltonian
• Searching for Neutrino-less Double Beta Decay of ${}^{136}$Xe with PandaX-II Liquid Xenon Detector
• Neutrinoless $\beta \beta$ decay nuclear matrix elements in an isotopic chain
• MeV-scale performance of water-based and pure liquid scintillator detectors
• Correlations and neutrinoless $\beta \beta$ decay nuclear matrix elements of $pf$-shell nuclei
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
• Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Demonstration of neutrinoless double beta decay searches in gaseous xenon with NEXT
• Many-body correlations of quasiparticle random-phase approximation in nuclear matrix element of neutrinoless double-beta decay
• Shell model study on the possibility of using an effective field theory for disentangling several contributions to the neutrinoless double-beta decay
• Fast, Efficient Calculations of the Two-Body Matrix Elements of the Transition Operators for Neutrinoless Double Beta Decay
• Rejection of randomly coinciding events in Li${}_2$${}^{100}$MoO${}_4$ scintillating bolometers using light detectors based on the Neganov-Luke effect
• Partial restoration of isospin symmetry for neutrinoless double beta decay in the deformed nuclear system of ${}^{150}$Nd
• Neutrinoless double beta decay studied with configuration mixing methods
• A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca
• Neutrinoless double-$\beta$ decay of ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe in the Hamiltonian-based generator-coordinate method
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay II: the heavy Majorana neutrino mass mechanism
• Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay
• JUNO and Neutrinoless Double Beta Decay
• $\beta$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory
• Search for double beta decay of ${}^{116}$Cd with enriched ${}^{116}$CdWO${}_4$ crystal scintillators (Aurora experiment)
• Main features of detectors and isotopes to investigate double beta decay with increased sensitivity
• Calculation of nuclear matrix elements in neutrinoless double electron capture
• Search for neutrinoless double beta decay
• Study of Nuclear Effects in the Computation of the 0νββ Decay Matrix Elements
• On the possibility of a measurement of the CP Majorana phase in the 0νββ-decay
• Testing the Inverted Neutrino Mass Ordering with Neutrinoless Double-Beta Decay
• Search for Light Exotic Fermions in Double-Beta Decays
• $\nu$DoBe -- A Python Tool for Neutrinoless Double Beta Decay
• Q value and half-life of double-electron capture in Os-184
• Phenomenology of neutrinoless double beta decay
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction
• Probing flavor models with Ge-76-based experiments on neutrinoless double-beta decay
• Neutrinoless double-beta decay from an effective field theory for heavy nuclei
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• Benchmarking ${}^{136}$Xe Neutrinoless $\beta \beta$ Decay Matrix Element Calculations with the ${}^{138}\mathrm{Ba}(p,t)$ Reaction
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Probing the Mechanism of Neutrinoless Double-Beta Decay in Multiple Isotopes
• Application of efficient generator-coordinate subspace-selection algorithm to neutrinoless double-$\beta$ decay
• Results on neutrinoless double beta decay from GERDA Phase I
• Global calculation of two-neutrino double-$\beta$ decay within the finite amplitude method in nuclear density functional theory
• Search for Majoron-like particles with CUPID-0
• Interference Between Light and Heavy Neutrinos for $0\nu \beta \beta$ Decay in the Left-Right Symmetric Model
• Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $\beta \beta$ decay
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• Growth and characterization of a Li2Mg2(MoO4)3 scintillating bolometer
• Shape transition of Nd and Sm isotopes and neutrinoless double-beta decay nuclear matrix element of ${}^{150}$Nd
• Limiting the Effective Mass and New Physics Parameters from $0\nu \beta \beta$
• Double Beta Decay APPEC Committee Report
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• A flexible scintillation light apparatus for rare event searches
• Uncertainties in nuclear transition matrix elements for ${\beta }^{+}{\beta }^{+}$ and $\epsilon {\beta }^{+}$ modes of neutrinoless positron double-$\beta$ decay within PHFB model
• Addendum to: QRPA uncertainties and their correlations in the analysis of neutrinoless double beta decay
• An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta
• Neutrinoless Double Beta Decay Sensitivity of the XLZD Rare Event Observatory
• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
• Neutrinoless double beta decay in the minimal type-I seesaw model: How the enhancement or cancellation happens?
• Nuclear matrix elements for $\lambda$ mechanism of $0\nu \beta \beta$ of ${}^{48}$Ca in nuclear shell-model: Closure versus nonclosure approach
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• A Pfaffian formulation for matrix elements of three-body operators in multiple quasi-particle configurations
• Searching for ${}^{76}$Ge neutrinoless double beta decay with the CDEX-1B experiment
• Configuration interaction projected density functional theory: effects of four-quasiparticle configurations and time-odd interactions
• Regularization of zero-range effective interactions in finite nuclei
• Neutrinoless double-beta decay and seesaw mechanism
• Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
• Impact of nuclear matrix element calculations for current and future neutrinoless double beta decay searches
• Searches for neutrinoless double beta decay
• LUMINEU: a search for neutrinoless double beta decay based on ZnMoO${}_4$ scintillating bolometers
• Trapped-ion decay spectroscopy towards the determination of ground-state components of double-beta decay matrix elements
• Deformed shell model results for neutrinoless double beta decay of nuclei in A=60-90 region
• Current Status of Nuclear Physics Research
• Investigation of 2$\beta$ Decay of ${}^{116}$Cd with the Help of Enriched ${}^{116}$CdWO${}_4$ Crystal Scintillators
• Nuclear structure calculations for two-neutrino double-beta decay
• Required sensitivity to search the neutrinoless double beta decay in ${}^{124}Sn$
• Inference of neutrino nature and Majorana CP phases from $0\nu \beta \beta$ decays with inverted mass ordering
• Effect of Spin-Dependent Short-Range Correlations on Nuclear Matrix Elements for Neutrinoless Double Beta Decay of ${}^{48}$Ca
• The CUORE and CUORE-0 experiments at LNGS
• Evidence of a higher nodal band $\alpha$+${}^{44}$Ca cluster state in fusion reactions and $\alpha$ clustering in ${}^{48}$Ti
• Subspace-projected multireference covariant density functional theory
• Nuclear matrix elements calculation for $0\nu \beta \beta$ decay of ${}^{124}$Sn using nonclosure approach in nuclear shell model
• Effects of perturbation for transition operator of double-$\beta$ decay on nuclear matrix element, effective axial-vector current coupling, and half-life
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model
• Computation of products of phase space factors and nuclear matrix elements for the Double Beta Decay
• $\alpha$ + ${}^{92}$Zr cluster structure in ${}^{96}$Mo
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions
• 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
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Nuclear Matrix Elements for Double-Beta Decay
• Quantification of Uncertainties in Nuclear Density Functional theory
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• Nuclear transition matrix elements for neutrinoless double-$\beta$ decay within mechanisms involving light Majorana neutrino mass and right-handed current
• The study of $0\nu \beta \beta$ decay of ${}^{136}$Xe using nonclosure approach in nuclear shell model
• Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr
• CUORE and beyond: bolometric techniques to explore inverted neutrino mass hierarchy
• Low-energy Electro-weak Reactions
• Ab initio short-range nuclear matrix elements for neutrinoless double-beta decay
• CUORE-0 results and prospects for the CUORE experiment
• Majorana neutrino mass constraints in the landscape of nuclear matrix elements