Nuclear matrix elements calculation for $0\nu \beta \beta$ decay of ${}^{124}$Sn using nonclosure approach in nuclear shell model

Abstract

In this study, we calculate the nuclear matrix elements (NMEs) for the light neutrino-exchange mechanism of neutrinoless double beta $0\nu \beta \beta$) decay of ${}^{124}$Sn within the framework of the interacting nuclear shell model using the effective shell model Hamiltonian GCN5082. A novel method based on a nonclosure approach is employed, wherein for the intermediate nucleus ${}^{124}$Sb, effects of energy of 100 states for each $J_k^{\pi }$=$0^{+}$ to $11^{+}$ and $2^{-}$ to $9^{-}$ ($\Delta J_k$=1) are explicitly included in the NMEs calculation. Other common effects such as the finite size of nucleons, higher-order effects of nucleon currents, and short-range correlations (SRC) of nucleons are also taken into account. The extracted optimal closure energy is 2.9 MeV for a total NME of ${}^{124}$Sn $0\nu \beta \beta$ decay, which is independent of different forms of SRC parametrizations. A comparison of NMEs and half-lives with some of the recent calculations is presented. Further, to gain a comprehensive understanding of the role of nuclear structure on the $0\nu \beta \beta$ decay, the dependence of NMEs on spin-parity of the intermediate states, coupled spin-parity of neutrons and protons, and the number of intermediate states, is explored. It is observed that the inclusion of the effects of excitation energies of the intermediate nucleus yields more reliable NMEs. The present findings provide valuable insights for experimental investigations of $0\nu \beta \beta$ decay of ${}^{124}$Sn in India and elsewhere.

arXiv comment12 pages, 6 figures, submitted in the journal Physical Review C. arXiv admin note: text overlap with arXiv:2308.08216

References in corpus (45)

• Neutrinoless Double-Beta Decay: Status and Prospects
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• 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
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Additional Nucleon Current Contributions to 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
• Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
• Neutrinoless double beta decay and neutrino mass
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Short-range correlations and neutrinoless double beta decay
• Shell Model description of the beta beta decay of 136Xe
• Shell model predictions for ${}^{124}$Sn double-beta decay
• A renormalized approach to neutrinoless double-beta decay
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay within the PHFB model
• Arbitrary mass Majorana neutrinos in neutrinoless 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
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Neutrinoless double beta decay matrix elements in light nuclei
• Seesaw Mechanism with Occam's Razor
• Neutrinoless double beta decay of 48Ca in the shell model: Closure versus nonclosure approximation
• Nuclear structure and double beta decay
• The light neutrino exchange mechanism of the $0\nu \beta \beta$-decay with left- and right-handed leptonic and hadronic currents revisited
• Collectivity in the light Xenon isotopes: A shell model study
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Accurate shell-model nuclear matrix elements for neutrinoless double-beta decay
• Neutrinoless double-$\beta$ decay of ${}^{82}$Se in the shell model: beyond closure approximation
• Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)${}_{L_e-L_{\mu }}$, U(1)${}_{L_{\mu }-L_{\tau }}$ and U(1)${}_{B-L}$ gauge symmetries
• Shell-model calculation of neutrinoless double-$\beta$ decay of ${}^{76}$Ge
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• 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
• Interference Effects for $0\nu \beta \beta$ Decay in the Left-Right Symmetric Model
• Nuclear matrix elements for $\lambda$ mechanism of $0\nu \beta \beta$ of ${}^{48}$Ca in nuclear shell-model: Closure versus nonclosure approach
• Effect of Spin-Dependent Short-Range Correlations on Nuclear Matrix Elements for Neutrinoless Double Beta Decay of ${}^{48}$Ca

Cited by in corpus (2)

• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• The study of $0\nu \beta \beta$ decay of ${}^{136}$Xe using nonclosure approach in nuclear shell model