Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation

Abstract

Neutrinoless double-beta decay is a unique process that could reveal physics beyond the Standard Model. Essential ingredients in the analysis of neutrinoless double-beta rates are the associated nuclear matrix elements. Most of the approaches used to calculate these matrix elements rely on the closure approximation. Here we analyze the light neutrino-exchange matrix elements of 48Ca neutrinoless double-beta decay and test the closure approximation in a shell-model approach. We calculate the neutrinoless double-beta nuclear matrix elements for 48Ca using both the closure approximation and a nonclosure approach, and we estimate the uncertainties associated with the closure approximation. We demonstrate that the nonclosure approach has excellent convergence properties which allow us to avoid unmanageable computational cost. Combining the nonclosure and closure approaches we propose a new method of calculation for neutrinoless double-beta decay rates which can be applied to the neutrinoless double-beta decay rates of heavy nuclei, such as 76Ge or 82Se.

8 pages, 5 figures, 2 tables, minor corrections were made

References in corpus (8)

• Phase space factors for double-$\beta$ decay
• Disassembling the Nuclear Matrix Elements of the 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
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Shell-model calculations of two-neutrino double-beta decay rates of ${}^{48}$Ca with GXPF1A interaction
• Shell model analysis of competing mechanism to the double-beta decay of ${}^{48}$Ca

Cited by in corpus (47)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Shell model predictions for ${}^{124}$Sn double-beta decay
• Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se
• 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
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Coupled-cluster calculations of neutrinoless double-beta decay in ${}^{48}$Ca
• Large-scale shell-model analysis of the neutrinoless $\beta \beta$ decay of ${}^{48}$Ca
• Heavy-ion double-charge-exchange and its relation to neutrinoless double-beta decay
• Precision Analysis of the ${}^{136}$Xe Two-Neutrino $\beta \beta$ Spectrum in KamLAND-Zen and Its Impact on the Quenching of Nuclear Matrix Elements
• Impact of the quenching of $g_{\mathrm{A}}$ on the sensitivity of $0\nu \beta \beta$ experiments
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Renormalization of the GT operator within the realistic shell model
• Neutrinoless double-$\beta$ decay of ${}^{82}$Se in the shell model: beyond closure approximation
• Ab initio uncertainty quantification of neutrinoless double-beta decay in ${}^{76}$Ge
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge
• Analysis of mechanisms that could contribute to the neutrinoless double-beta decay
• Ab initio benchmarks of neutrinoless double beta decay in light nuclei with a chiral Hamiltonian
• Correlations and neutrinoless $\beta \beta$ decay nuclear matrix elements of $pf$-shell nuclei
• Comparison between Variational Monte Carlo and Shell Model Calculations of Neutrinoless Double Beta Decay Matrix Elements in Light Nuclei
• Shell model study on the possibility of using an effective field theory for disentangling several contributions to the neutrinoless double-beta decay
• Neutrinoless double-$\beta$ decay of ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe in the Hamiltonian-based generator-coordinate method
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Correlations Between Neutrinoless Double-Beta, Double Gamow-Teller and Double-Magnetic Decays in the pnQRPA Framework
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• Present Status of Nuclear Shell-Model Calculations of Neutrinoless Double-Beta Decay Matrix Elements
• Shape transition of Nd and Sm isotopes and neutrinoless double-beta decay nuclear matrix element of ${}^{150}$Nd
• Examinations of the consistency of the quasiparticle random-phase approximation approach to double-$\beta$ decay of ${}^{48}$Ca
• Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
• Nuclear matrix elements for $\lambda$ mechanism of $0\nu \beta \beta$ of ${}^{48}$Ca in nuclear shell-model: Closure versus nonclosure approach
• Nuclear structure studies of double Gamow-Teller strength
• Is it possible to study neutrinoless $\beta \beta$ decay by measuring double Gamow-Teller transitions?
• Nuclear matrix elements calculation for $0\nu \beta \beta$ decay of ${}^{124}$Sn using nonclosure approach in nuclear shell model
• Effect of Spin-Dependent Short-Range Correlations on Nuclear Matrix Elements for Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Neutrinoless Double-Beta Decay and Realistic Shell Model
• The study of $0\nu \beta \beta$ decay of ${}^{136}$Xe using nonclosure approach in nuclear shell model
• Role of individual components of two-nucleon interaction in nuclear matrix elements of $2\nu \beta \beta$ and $0\nu \beta \beta$ of ${}^{\text{48}}$Ca: Beyond the closure approximation
• Neutrinoless $\beta \beta$-Decay in DCEQTDA