Signatures for shape coexistence and shape/phase transitions in even-even nuclei

Abstract

Systematics of B(E2) transition rates connecting the first excited 0+ state to the first excited 2+ state of the ground state band in even-even nuclei indicates that shape coexistence of the ground state band and the first excited K=0 band should be expected in nuclei lying within the stripes of nucleon numbers 7-8, 17-20, 34-40, 59-70, 96-112 predicted by the dual shell mechanism of the proxy-SU(3) model, avoiding their junctions, within which high deformation is expected. Systematics of the excitation energies of the first excited 0+ states in even-even nuclei show that shape coexistence due to proton-induced neutron particle-hole excitations is related to a first-order shape/phase transition from spherical to deformed shapes, while shape coexistence due to neutron-induced proton particle-hole excitations is observed along major proton shell closures.

arXiv comment13 pages, 4 figures, 4 tables

References in corpus (41)

• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Quantum Phase Transition in the Shape of Zr isotopes
• Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Shape Coexistence in Pb186: Beyond-mean-field description by configuration mixing of symmetry restored wave functions
• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model
• Proxy-SU(3) symmetry in heavy deformed nuclei
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Covariant description of shape evolution and shape coexistence in neutron-rich nuclei at N\approx60
• Systematics of low-lying states of even-even nuclei in the neutron-deficient lead region from a beyond-mean-field calculation
• Collective structural evolution in neutron-rich Yb, Hf, W, Os and Pt isotopes
• Quadrupole shape invariants in the interacting boson model
• Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
• Unveiling the origin of shape coexistence in lead isotopes
• The quest of shape coexistence in Zr isotopes
• Shape evolution and the role of intruder configurations in Hg isotopes within the interacting boson model based on a Gogny energy density functional
• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• Shape coexistence in the microscopically guided interacting boson model
• The islands of shape coexistence within the Elliott and the proxy-SU(3) Models
• Intertwined Quantum Phase Transitions in the Zr Isotopes
• Evidence for shape coexistence in ${}^{98}$Mo
• The platinum nuclei: concealed configuration mixing and shape coexistence
• Triaxiality and shape coexistence in Germanium isotopes
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Shape coexistence in neutron-deficient Hg isotopes studied via lifetime measurements in ${}^{184,186}$Hg and two-state mixing calculations
• Zr Isotopes as a region of intertwined quantum phase transitions
• Shape coexistence and neutron skin thickness of Pb isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• The subtle connection between shape coexistence and quantum phase transition. The Zr case
• Nuclear shape coexistence in Po isotopes: An interacting boson model study
• The proxy-SU(3) symmetry in atomic nuclei
• Proxy-SU(3) symmetry in the shell model basis
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• Shape coexistence in the neutron-deficient lead region: A systematic study of lifetimes in the even-even ${}^{188-200}$Hg with GRIFFIN
• Shape coexisistence and collective low-spin states in ${}^{112,114}$Sn studied with the $(p,p^{\prime }\gamma )$ DSA coincidence technique
• Shape coexistence in the neutron-deficient ${}^{188}$Hg investigated via lifetime measurements
• Configuration mixing in the neutron-deficient ${}^{186-196}$Pb isotopes
• Microscopic origin of shape coexistence in the N=90, Z=64 region
• Shape coexistence in Sr isotopes
• Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional

Cited by in corpus (1)

• Shape coexistence in even-even nuclei: A theoretical overview