Evidence for rigid triaxial deformation in ${}^{76}$Ge from a model-independent analysis

Abstract

An extensive, model-independent analysis of the nature of triaxial deformation in ${}^{76}$Ge, a candidate for neutrinoless double-beta ($0\nu \beta \beta$) decay, was carried out following multi-step Coulomb excitation. Shape parameters deduced on the basis of a rotational-invariant sum-rule analysis provided considerable insight into the underlying collectivity of the ground-state and $\gamma$ bands. Both sequences were determined to be characterized by the same $\beta$ and $\gamma$ deformation parameter values. In addition, compelling evidence for low-spin, rigid triaxial deformation in ${}^{76}$Ge was obtained for the first time from the analysis of the statistical fluctuations of the quadrupole asymmetry deduced from the measured $E2$ matrix elements. These newly determined shape parameters are important input and constraints for calculations aimed at providing, with suitable accuracy, the nuclear matrix elements relevant to $0\nu \beta \beta$.

arXiv comment6 pages, 5 figures

References in corpus (15)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Search for Zero-Neutrino Double Beta Decay in 76Ge with the Majorana Demonstrator
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and 76Se
• Nuclear Structure Relevant to Neutrinoless Double Beta Decay: the Valence Protons in 76Ge and 76Se
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• Shape coexistence and the role of axial asymmetry in ${}^{72}$Ge
• Nature of $\gamma$-deformation in Ge and Se nuclei and the triaxial projected shell model description
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay

Cited by in corpus (20)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• Imaging Shapes of Atomic Nuclei in High-Energy Nuclear Collisions
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Shape Coexistence at Zero Spin in 64Ni Driven by the Monopole Tensor Interaction
• Measurement and Modeling of Proton-Induced Reactions on Arsenic from 35 to 200 MeV
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Shape and multiple shape coexistence of nuclei within covariant density functional theory
• First Evidence of Axial Shape Asymmetry and Configuration Coexistence in ${}^{74}$Zn: Suggestion for a Northern Extension of the $N=40$ Island of Inversion
• Convergence of electric quadrupole rotational invariants from the nuclear shell model
• Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $\beta \beta$ decay
• Investigation of octupole collectivity near the $A=72$ shape-transitional point
• Spectroscopy of states in ${}^{136}\mathrm{Ba}$ using the ${}^{138}\mathrm{Ba}(\mathrm{p},\mathrm{t})$ reaction
• Effective field theories for collective excitations of atomic nuclei
• Exploring nuclear structure with multiparticle azimuthal correlations at the LHC
• Triaxiality and shape dynamics in ${}^{70}$Ge
• Proton removal from ${}^{73,75}$Br to ${}^{72,74}$Se at intermediate energies
• Triaxial projected shell model study of $\gamma$-bands in atomic nuclei
• Imaging two-body correlations in atomic nuclei via low- and high-energy processes