Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition

Abstract

The low-energy structure and $\beta$ decay properties of the neutron-rich even-mass nuclei near the neutron number $N=60$ that are experimentally of much interest are investigated within the framework of the nuclear density functional theory and the interacting boson-fermion-fermion model. By using the results of the constrained self-consistent mean-field calculations based on the relativistic energy density functional, the interacting-boson Hamiltonian describing the even-even core nuclei, the boson-fermion, and the fermion-fermion interactions are determined. The Gamow-Teller transition strengths, with the corresponding operator being constructed without introducing further phenomenological adjustment, are computed by using the wave functions of the initial and final nuclei of the $\beta$ decay. The triaxial quadrupole potential energy surfaces computed for the $N=60$ even-even isotones suggest a pronounced $\gamma$ softness. The calculated energy spectra for the even-even and odd-odd nuclei in the Rb to Cd isotopic chains exhibit an abrupt change in nuclear structure around $N=60$, as suggested experimentally. The predicted $\beta$-decay $\log {}_{10}ft$ values underestimate the measured values for the nuclei with low $Z$ and with $N⩽60$, exhibit a rapid increase for $N>60$, reflecting the nuclear structure evolution, and agree rather well with the measured values for those nuclei with $Z$ being not far from the proton major shell closure $Z=50$. Sensitivity of the predicted $\beta$-decay properties to the model assumptions and parameters employed in the nuclear structure calculations is discussed, specifically, by comparing results obtained based on the different choices of the underlying energy density functional.

arXiv comment20 pages, 10 figures, 6 tables

References in corpus (37)

• The Shell Model as Unified View of Nuclear Structure
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Nuclear weak-interaction processes in stars
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• A finite range pairing force for density functional theory in superfluid nuclei
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Quantum Phase Transition in the Shape of Zr isotopes
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei
• Global description of beta-minus decay in even-even nuclei with the axially-deformed Skyrme finite amplitude method
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• A deformed QRPA formalism for single and two-neutrino double beta decay
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Microscopic analysis of the octupole phase transition in Th isotopes
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
• Beta-decay of nuclei around Se-90. Search for signatures of a N=56 sub-shell closure relevant the r-process
• First measurement of several $\beta$-delayed neutron emitting isotopes beyond N=126
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Zr Isotopes as a region of intertwined quantum phase transitions
• The subtle connection between shape coexistence and quantum phase transition. The Zr case
• Effects of deformation on the beta-decay patterns of light even-even and odd-mass Hg and Pt isotopes
• Single and low-lying states dominance in two-neutrino double-beta decay
• Signatures of octupole correlations in neutron-rich odd-mass barium isotopes
• $\beta$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory
• $\beta$ decay of odd-A nuclei with the interacting boson-fermion model based on the Gogny energy density functional
• $\beta$-decay rates of ${}^{(115,117)}$Rh into ${}^{(115,117)}$Pd isotopes in the microscopic IBFM-2
• Shape phase transitions in odd-A Zr isotopes
• Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy density functional
• $\beta$-decay half-lives as an indicator of shape-phase transition in neutron-rich Zr isotopes with particle-vibration coupling effect
• Simultaneous description of $\beta$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei

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