Intertwined Quantum Phase Transitions in the Zr Isotopes

Abstract

We explore the situation of intertwined quantum phase transitions (IQPTs), for which a QPT involving a crossing of two configurations is accompanied by a shape evolution of each configuration with its own separate QPT. We demonstrate the relevance of IQPTs to the Zr isotopes, with such coexisting Type I and Type II QPTs, and ground state shapes changing from spherical to prolate axially deformed and finally to gamma-unstable. Evidence for this scenario is provided by a detailed comparison with experimental data, using a definite symmetry-based conceptual framework.

arXiv comment6 pages, 4 figures, 1 table, final version, accepted for publication in Physical Review C

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Cited by in corpus (23)

• The quest of shape coexistence in Zr isotopes
• 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
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Interplay between shape-phase transitions and shape coexistence in the Zr isotopes
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Mixed configurations and intertwined quantum phase transitions in odd-mass nuclei
• Shape phase transitions in odd-A Zr isotopes
• The nucleon-pair approximation for nuclei from spherical to deformed regions
• Description of the low-lying collective states of ${}^{96}$Zr based on the quadrupole-collective Bohr Hamiltonian
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• Mapped interacting boson model for nuclear structure studies
• Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes
• Geometry of Configuration Mixing in Bose-Fermi Systems
• Shape evolution in even-mass ${}^{98-104}$Zr isotopes via lifetime measurements using the $\gamma \gamma$-coincidence technique
• 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
• Intertwined quantum phase transitions in the Zr chain
• Intertwined Quantum Phase Transitions in Bose and Bose-Fermi Systems
• Quantum and classical analyses of intertwined phase transitions in odd-mass Nb isotopes
• Intertwined quantum phase transitions in odd-mass Nb isotopes