Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei

Abstract

A systematic analysis of low-lying quadrupole and octupole collective states is presented, based on the microscopic energy density functional framework. By mapping the deformation constrained self-consistent axially symmetric mean-field energy surfaces onto the equivalent Hamiltonian of the $sdf$ interacting boson model (IBM), that is, onto the energy expectation value in the boson condensate state, the Hamiltonian parameters are determined. The study is based on the global relativistic energy density functional DD-PC1. The resulting IBM Hamiltonian is used to calculate excitation spectra and transition rates for the positive- and negative-parity collective states in four isotopic chains characteristic for two regions of octupole deformation and collectivity: Th, Ra, Sm and Ba. Consistent with the empirical trend, the microscopic calculation based on the systematics of ${\beta }_2$-${\beta }_3$ energy maps, the resulting low-lying negative-parity bands and transition rates show evidence of a shape transition between stable octupole deformation and octupole vibrations characteristic for ${\beta }_3$-soft potentials.

18 pages, 18 figures, 1 table

References in corpus (10)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Microscopic analysis of the octupole phase transition in Th isotopes
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Non-yrast nuclear spectra in a model of coherent quadrupole-octupole motion
• Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry: Critical-point behavior of 224Ra and 224Th
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry: Octupole vibrations in the X(5) nuclei 150Nd and 152Sm

Cited by in corpus (49)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Direct Evidence of Octupole Deformation in Neutron-Rich ${}^{144}$Ba
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Landscape of pear-shaped even-even nuclei
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Coexistence of nuclear shapes: self-consistent mean-field and beyond
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Beyond relativistic mean-field approach for nuclear octupole excitations
• Tetrahedral shapes of neutron-rich Zr isotopes from multidimensionally-constrained relativistic Hartree-Bogoliubov model
• Shape coexistence in the microscopically guided interacting boson model
• Time-dependent generator coordinate method study of mass-asymmetric fission of actinides
• Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Octupole deformation in light actinides within an analytic quadrupole octupole axially symmetric model with Davidson potential
• Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• ${}^{229m}$Th isomer from a nuclear model perspective
• Octupole correlations in light actinides from the interacting boson model based on the Gogny energy density functional
• Signatures of octupole correlations in neutron-rich odd-mass barium isotopes
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• High-resolution $(p,t)$ study of low-spin states in ${}^{240}$Pu: Octupole excitations, $\alpha$ clustering, and other structure features
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Microscopic description of octupole collective excitations near $N=56$ and $N=88$
• Microscopic description of quadrupole-octupole coupling in actinides with the Gogny-D1M energy density functional
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Pairing vibrations in the interacting boson model based on density functional theory
• Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes
• Shape phase transitions in odd-A Zr isotopes
• Octupole correlations in collective excitations of neutron-rich $N\approx 56$ nuclei
• Impacts of hexadecapole deformations on the collective energy spectra of axially deformed nuclei
• Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition
• Effect of configuration mixing on quadrupole and octupole collective states of transitional nuclei
• Microscopic description of hexadecapole collectivity in even-even rare-earth nuclei near $N=90$
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Mapped interacting boson model for nuclear structure studies
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Role of octupole shape degree of freedom in neutron-rich odd-mass xenon isotopes
• Mapped $spdf$ interacting boson model for quadrupole-octupole collective states in nuclei
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Signatures of octupole shape phase transitions in radioactive nuclei
• Quadrupole and octupole states in ${}^{152}$Sm using the proton-neutron interacting boson model
• Quadrupole-Octupole Residual Interaction in the Proxy-$SU(3)$ Scheme
• Octupole correlation effects on two-neutron transfer intensity in rare-earth nuclei
• Impacts of hexadecapole correlations in actinide nuclei
• Coexistence and evolution of shapes: mean-field-based interacting boson model