Anatomy of octupole correlations in ${}^{96}$Zr with a symmetry-restored multidimensionally-constrained covariant density functional theory

Abstract

A recent analysis based on the STAR measurement in relativistic heavy-ion collision experiments provides evidence of octupole correlation in the ground state of ${}^{96}$Zr, the description of which presents a challenge to nuclear structure models. In this work, we perform projection-after-variation calculations for ${}^{96}$Zr based on a multidimensionally-constrained relativistic Hartree-Bogoliubov model. Our results show that an octupole deformed shape is favored in energy after symmetry restoration, and this phenomenon cannot be reproduced in the pure mean-field calculations. These complex structures originate from the competition among various shell structures in this mass region. Our results suggest that the allowance of symmetry breaking at the mean-field level and the restoration of broken symmetries are essential elements for understanding the structure of ${}^{96}$Zr in density functional theories.

10 pages, 4 figures

References in corpus (19)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Particle-Number Projection and the Density Functional Theory
• First Measurement of Collectivity of Coexisting Shapes based on Type II Shell Evolution: The Case of ${}^{96}$Zr
• Shape of atomic nuclei in heavy ion collisions
• Landscape of pear-shaped even-even nuclei
• Probing triaxial deformation of atomic nuclei in high-energy heavy ion collisions
• Measurement of the azimuthal anisotropy of charged-particle production in Xe+Xe collisions at $\sqrt{s_{\mathrm{NN}}}=5.44$ TeV with the ATLAS detector
• Rotating deformed halo nuclei and shape decoupling effects
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Accessing the shape of atomic nuclei with relativistic collisions of isobars
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Nuclear tetrahedral configurations at spin zero
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Enhancement of octupole strength in near spherical nuclei

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• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Difference between signal and background of the chiral magnetic effect relative to spectator and participant planes in isobar collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Implication of shell quenching in scandium isotopes around N=20
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions
• Tetrahedral shape and Lambda impurity effect in ${}^{80}$Zr with a multidimensionally constrained relativistic Hartree-Bogoliubov model
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei