$\beta$-decay half-lives as an indicator of shape-phase transition in neutron-rich Zr isotopes with particle-vibration coupling effect

Abstract

[Background] $\beta$-decay half-life is sensitive to the shell structure near the Fermi levels. Nuclear deformation thus impacts the $\beta$-decay properties. [Purpose] A first-order shape-phase transition in neutron-rich Zr isotopes is predicted by some models. We investigate the $\beta$-decay half-lives of neutron-rich nuclei around ${}^{110}$Zr, where the shape-phase transition is predicted to occur, to see if the $\beta$-decay half-life can be an indicator of the shape changes. [Method] The proton-neutron quasiparticle random-phase approximation (RPA) is adopted to calculate the Gamow-Teller transitions. In addition, we apply the quasiparticle phonon-vibrational coupling (PVC) to consider the phonon couplings. [Results] The spherical and oblate configurations give similar half-lives but shorter ones than the prolate configuration at the RPA level. The PVC effect further reduces the half-lives in general, but the effect is smaller for the deformed configuration than that for the spherical one. As a result, it makes the shape change from the oblate configuration to the spherical configuration visible. Therefore, a sudden shortening of $\beta$-decay half-lives is always found at the nuclear shape changes. [Conclusions] $\beta$-decay half-life is an indicator of the shape-phase transition. The shape mixing and the roles of the triaxial deformation are subject to study in the future.

arXiv comment7 pages, 4 figures

References in corpus (24)

• Nuclear Ground-State Masses and Deformations
• Nuclear ground-state masses and deformations: FRDM(2012)
• Systematic study of deformed nuclei at the drip lines and beyond
• Beta decay of r-process waiting-point nuclei in a self-consistent approach
• Quantum Phase Transition in the Shape of Zr isotopes
• Shapes and beta decay in proton rich Ge, Se, Kr and Sr isotopes
• Global description of beta-minus decay in even-even nuclei with the axially-deformed Skyrme finite amplitude method
• Relativistic mean field theory for deformed nuclei with pairing correlations
• The Gamow-Teller response within Skyrme random-phase approximation plus particle-vibration coupling
• Beta-decay properties of Zr and Mo neutron-rich isotopes
• Dipole responses in Nd and Sm isotopes with shape transitions
• Coordinate Space HFB Calculations for the Zirconium Isotope Chain up to the Two-Neutron Dripline
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Gamow-Teller response and its spreading mechanism in doubly magic nuclei
• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
• Influence of 2p-2h configurations on beta-decay rates
• Gamow-Teller response in deformed even and odd neutron-rich Zr and Mo isotopes
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
• Time-reversed particle-vibration loops and nuclear Gamow-Teller response
• Spin-isospin response of deformed neutron-rich nuclei in a self-consistent Skyrme energy-density-functional approach
• Temperature dependence of nuclear spin-isospin response and beta decay in hot astrophysical environments
• Nuclear shape dependence of Gamow-Teller distributions in neutron-deficient Pb isotopes
• Hartree-Fock-Bogoliubov theory for odd-mass nuclei with a time-odd constraint and application to deformed halo nuclei
• Suddenly shortened half-lives beyond ${}^{78}$Ni: $N=50$ magic number and high-energy non-unique first-forbidden transitions

Cited by in corpus (4)

• Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition
• Parameter dependence of the $\beta$-decay properties of neutron-rich Zr isotopes within the interacting boson model
• Sensitivity analysis of $\beta$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model
• Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions