Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals

Abstract

Spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass $A\approx 80$ region are investigated within the framework of the nuclear density functional theory. Triaxial quadrupole constrained self-consistent mean-field calculations that employ relativistic energy density functionals and a pairing interaction are carried out for the even-even nuclei ${}^{76-86}$Kr. The spectroscopic properties are computed by solving the triaxial quadrupole collective Hamiltonian, with the ingredients, i.e., the deformation-dependent moments of inertia and mass parameters, and the collective potential, determined by using the SCMF solutions as microscopic inputs. Systematic behaviors of the SCMF potential energy surfaces, the corresponding low-energy spectra, electric quadrupole and monopole transition probabilities, and the fluctuations in the triaxial quadrupole deformations indicate evolution of the underlying nuclear structure as functions of the neutron number, that is characterized by a considerable degree of shape mixing. A special attention is paid to the transitional nucleus ${}^{82}$Kr, which has been recently identified experimentally as an empirical realization of the E(5) critical-point symmetry.

arXiv comment15 pages, 10 figures, 1 table

References in corpus (31)

• The Shell Model as Unified View of Nuclear Structure
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• 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
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Quantum Phase Transition in the Shape of Zr isotopes
• Quantum phase transitions in the interacting boson model
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei
• Quadrupole collective states within the Bohr collective Hamiltonian
• Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
• Microscopic description of nuclear quantum phase transitions
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Proxy-SU(3) symmetry in heavy deformed nuclei
• Relativistic Energy Density Functional Description of Shape Transition in Superheavy Nuclei
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Coexistence of nuclear shapes: self-consistent mean-field and beyond
• The islands of shape coexistence within the Elliott and the proxy-SU(3) Models
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Structure of krypton isotopes within the interacting boson model derived from the Gogny energy density functional
• Microscopic description of octupole collective excitations near $N=56$ and $N=88$
• Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Alpha-particle condensation: a nuclear quantum phase transition
• Pairing vibrations in the interacting boson model based on density functional theory
• Coupling of pairing and triaxial shape vibrations in collective states of $\gamma$-soft nuclei

Cited by in corpus (2)

• Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional