Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay

Abstract

We use chiral interactions and several {\em ab initio} methods to compute the nuclear matrix elements (NMEs) for ground-state to ground-state double Gamow-Teller transitions in a range of isotopes, and explore the correlation of these NMEs with those for neutrinoless double beta decay produced by the exchange of a light Majorana neutrino. When all the NMEs of both isospin-conserving and isospin-changing transitions from the {\em ab initio} calculations are considered, the correlation is strong. For the experimentally relevant isospin-changing transitions by themselves, however, the correlation is weaker and may not be helpful for reducing the uncertainty in the NMEs for neutrinoless double-beta decay.

arXiv comment16 pages with 19 figures, Phys. Rev. C (in press)

References in corpus (66)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• From low-momentum interactions to nuclear structure
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• Nuclear matrix elements for double-β decay
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Search for Neutrinoless Double-Beta Decay with the Complete EXO-200 Dataset
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Improved Limit on Neutrinoless Double-Beta Decay in ${}^{130}$Te with CUORE
• The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay
• A new leading contribution to neutrinoless double-beta decay
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Low-momentum interaction in few-nucleon systems
• Shell model predictions for ${}^{124}$Sn double-beta decay
• A renormalized approach to neutrinoless double-beta decay
• Analysis of Light Neutrino Exchange and Short-Range Mechanisms in $0\nu \beta \beta$ Decay
• Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se
• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ 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
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
• Coupled-cluster calculations of neutrinoless double-beta decay in ${}^{48}$Ca
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Neutrinoless double beta decay matrix elements in light nuclei
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• Heavy-ion double-charge-exchange and its relation to neutrinoless double-beta decay
• Generator-coordinate reference states for spectra and $0\nu \beta \beta$ decay in the in-medium similarity renormalization group
• $0\nu \beta \beta$ nuclear matrix elements, neutrino potentials and $\mathrm{SU}(4)$ symmetry
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Ab initio calculation of the contact operator contribution in the standard mechanism for neutrinoless double beta decay
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Neutrinoless double-beta decay matrix elements in large shell-model spaces with the generator-coordinate method
• Effective double-beta-decay operator for 76Ge and 82Se
• Short-range correlation physics at low RG resolution
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• New determination of double-beta-decay properties in 48Ca: high-precision Q-value measurement and improved nuclear matrix element calculations
• High-momentum tails from low-momentum effective theories
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Ab initio benchmarks of neutrinoless double beta decay in light nuclei with a chiral Hamiltonian
• Neutrinoless $\beta \beta$ decay nuclear matrix elements in an isotopic chain
• Short range correlations and the isospin dependence of nuclear correlation functions
• Correlations and neutrinoless $\beta \beta$ decay nuclear matrix elements of $pf$-shell nuclei
• Many-body correlations of quasiparticle random-phase approximation in nuclear matrix element of neutrinoless double-beta decay
• $\gamma \gamma$ decay as a probe of neutrinoless $\beta \beta$ decay nuclear matrix elements
• Short-range correlations and the charge density
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• Benchmark neutrinoless double-beta decay matrix elements in a light nucleus
• Isoscalar pairing interaction for the quasiparticle random-phase approximation approach to double-$\beta$ and $\beta$ decays
• Is it possible to study neutrinoless $\beta \beta$ decay by measuring double Gamow-Teller transitions?
• Towards Reliable Nuclear Matrix Elements for Neutrinoless $\beta \beta$ Decay

Cited by in corpus (12)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• Ab initio uncertainty quantification of neutrinoless double-beta decay in ${}^{76}$Ge
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Correlations Between Neutrinoless Double-Beta, Double Gamow-Teller and Double-Magnetic Decays in the pnQRPA Framework
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Muon Capture on ${}^6$Li, ${}^{12}$C, and ${}^{16}$O from $AbInitio$ Nuclear Theory
• Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu \beta \beta$ decay
• Constraining Neutrinoless Double-Beta Decay Matrix Elements from Ab Initio Nuclear Theory
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions
• Mean-field approximation on steroids: exact description of the deuteron