Shape phase transitions in odd-A Zr isotopes

Abstract

Spectroscopic properties that characterize shape phase transitions in neutron-rich odd-A Zr isotopes are investigated using the framework of nuclear density functional theory and particle-core coupling. The interacting-boson Hamiltonian of the even-even core nuclei, and the single-particle energies and occupation probabilities of the unpaired neutron are completely determined by deformation constrained self-consistent mean-field calculations based on the relativistic Hartree-Bogoliubov model with a choice of a universal energy density functional and pairing interaction. The triaxial $(\beta ,\gamma )$ deformation energy surfaces for even-even ${}^{94-102}$Zr indicates transition from triaxial or $\gamma$-soft (${}^{94,96}$Zr) to prolate (${}^{98}$Zr), and triaxial (${}^{100,102}$Zr) shapes. The corresponding low-energy excitation spectra of the odd-A Zr isotopes are in very good agreement with recent experimental results. Consistent with the structural evolution of the neighboring even-even Zr nuclei, the state-dependent effective deformations and their fluctuations in the odd-A isotopes indicate a pronounced discontinuity around the transitional nucleus ${}^{99}$Zr.

arXiv comment15 pages, 10 figures, 4 tables

References in corpus (28)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• A finite range pairing force for density functional theory in superfluid nuclei
• Quantum Phase Transition in the Shape of Zr isotopes
• 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
• First Measurement of Collectivity of Coexisting Shapes based on Type II Shell Evolution: The Case of ${}^{96}$Zr
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Multidimensionally-constrained relativistic mean-field study of spontaneous fission: coupling between shape and pairing degrees of freedom
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
• Quadrupole shape invariants in the interacting boson model
• The quest of shape coexistence in Zr isotopes
• Coexistence of nuclear shapes: self-consistent mean-field and beyond
• Quadrupole and octupole collectivity and cluster structures in neon isotopes
• Quantum phase transitions in Bose-Fermi systems
• Intertwined Quantum Phase Transitions in the Zr Isotopes
• Time-dependent generator coordinate method study of mass-asymmetric fission of actinides
• Evidence for coexisting shapes in ${}^{98}$Zr through lifetime measurements
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Shape-phase transitions in odd-mass $\gamma$-soft nuclei with mass $A\approx 130$
• Nuclear quantum shape-phase transitions in odd-mass systems
• Signatures of shape phase transitions in odd-mass nuclei
• Signatures of octupole correlations in neutron-rich odd-mass barium isotopes
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• $\beta$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory
• Description of shape coexistence in ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian
• Structure of odd-odd Cs isotopes within the interacting boson-fermion-fermion model based on the Gogny-D1M energy density functional
• $\beta$ decay of odd-A nuclei with the interacting boson-fermion model based on the Gogny energy density functional

Cited by in corpus (7)

• Pairing vibrations in the interacting boson model based on density functional theory
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition
• Mapped interacting boson model for nuclear structure studies
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems