Global analysis of quadrupole shape invariants based on covariant energy density functionals

Abstract

Coexistence of different geometric shapes at low energies presents a universal structure phenomenon that occurs over the entire chart of nuclides. Studies of the shape coexistence are important for understanding the microscopic origin of collectivity and modifications of shell structure in exotic nuclei far from stability. The aim of this work is to provide a systematic analysis of characteristic signatures of coexisting nuclear shapes in different mass regions, using a global self-consistent theoretical method based on universal energy density functionals and the quadrupole collective model. The low-energy excitation spectrum and quadrupole shape invariants of the two lowest $0^{+}$ states of even-even nuclei are obtained as solutions of a five-dimensional collective Hamiltonian (5DCH) model, with parameters determined by constrained self-consistent mean-field calculations based on the relativistic energy density functional PC-PK1, and a finite-range pairing interaction. The theoretical excitation energies of the states: $2_1^{+}$, $4_1^{+}$, $0_2^{+}$, $2_2^{+}$, $2_3^{+}$, as well as the $B(E2;0_1^{+}\to 2_1^{+})$ values, are in very good agreement with the corresponding experimental values for 621 even-even nuclei. Quadrupole shape invariants have been implemented to investigate shape coexistence, and the distribution of possible shape-coexisting nuclei is consistent with results obtained in recent theoretical studies and available data. The present analysis has shown that, when based on a universal and consistent microscopic framework of nuclear density functionals, shape invariants provide distinct indicators and reliable predictions for the occurrence of low-energy coexisting shapes. This method is particularly useful for studies of shape coexistence in regions far from stability where few data are available.

arXiv comment13 pages, 3 figures, accepted for publication in Phys. Rev. C

References in corpus (24)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• A finite range pairing force for density functional theory in superfluid nuclei
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• First Measurement of Collectivity of Coexisting Shapes based on Type II Shell Evolution: The Case of ${}^{96}$Zr
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Relativistic Energy Density Functional Description of Shape Transition in Superheavy Nuclei
• Shape coexistence and the role of axial asymmetry in ${}^{72}$Ge
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Isomer shift and magnetic moment of the long-lived 1/2${}^{+}$ isomer in ${}_{30}^{79}$Zn${}_{49}$: signature of shape coexistence near ${}^{78}$Ni
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Tetrahedral shapes of neutron-rich Zr isotopes from multidimensionally-constrained relativistic Hartree-Bogoliubov model
• Evidence for shape coexistence in ${}^{98}$Mo
• Discovery of a new isomeric state in ${}^{68}$Ni: Evidence for a highly-deformed proton intruder state
• Multiple shape coexistence in the nucleus ${}^{80}$Zr
• Shape coexistence in neutron-deficient Hg isotopes studied via lifetime measurements in ${}^{184,186}$Hg and two-state mixing calculations
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• Covariant density functional analysis of shape evolution in $N=40$ isotones
• Shape coexistence and triaxiality in nuclei near 80Zr
• Collectivity in the light radon nuclei measured directly via Coulomb excitation

Cited by in corpus (13)

• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Shape coexistence in even-even nuclei: A theoretical overview
• Superheavy nuclei in microscopic collective Hamiltonian approach: the impact of beyond mean field correlations on the ground state and fission properties
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Shape and multiple shape coexistence of nuclei within covariant density functional theory
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Convergence of electric quadrupole rotational invariants from the nuclear shell model
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin