Interplay between shape-phase transitions and shape coexistence in the Zr isotopes

Abstract

We investigate the evolution of structure in the zirconium isotopes where one of the most complex situations encountered in nuclear physics occurs. We demonstrate the role of two concurrent types of quantum phase transitions, sharing a common critical point. The first type, involves an abrupt crossing of coexisting normal and intruder configurations. The second type, involves a gradual shape-phase transition within the intruder configuration, changing from weakly-deformed to prolate-deformed and finally to gamma-unstable. Evidence for this scenario is provided by a detailed comparison with experimental data, using a definite algebraic framework.

arXiv comment16 pages, 9 figures, Final version, Physica Scripta Focus Issue on Nuclear Shapes and Symmetries: From Experiment to Theory. arXiv admin note: substantial text overlap with arXiv:1904.09919

References in corpus (18)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Quantum Phase Transition in the Shape of Zr isotopes
• Quantum phase transitions in the interacting boson model
• 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
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes
• Shape coexistence in the microscopically guided interacting boson model
• Intertwined Quantum Phase Transitions in the Zr Isotopes
• Evidence for coexisting shapes in ${}^{98}$Zr through lifetime measurements
• The platinum nuclei: concealed configuration mixing and shape coexistence
• Intruder bands and configuration mixing in the lead isotopes
• Quadrupole Phonons in the Cadmium Isotopes
• Nuclear shape coexistence in Po isotopes: An interacting boson model study
• Consistent description of nuclear charge radii and electric monopole transitions
• Correlating radii and electric monopole transitions of atomic nuclei
• Criticality in the configuration-mixed interacting boson model : (1) $U(5)-\hat{Q}(\chi )\cdot \hat{Q}(\chi )$ mixing
• IBM-2 configuration mixing and its geometric interpretation for germanium isotopes

Cited by in corpus (11)

• Shape coexistence in even-even nuclei: A theoretical overview
• Zr Isotopes as a region of intertwined quantum phase transitions
• The subtle connection between shape coexistence and quantum phase transition. The Zr case
• Tests of collectivity in ${}^{98}$Zr by absolute transition rates
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes
• Determination of the spins and parities for the 0${}_4^{+}$ and 0${}_5^{+}$ states in ${}^{100}$Zr
• Intertwined quantum phase transitions in the zirconium and niobium isotopes
• Quantum and classical analyses of intertwined phase transitions in odd-mass Nb isotopes
• Intertwined quantum phase transitions in odd-mass Nb isotopes
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems