Partial dynamical symmetry from energy density functionals

Abstract

We show that the notion of partial dynamical symmetry is robust and founded on a microscopic many-body theory of nuclei. Based on the universal energy density functional framework, a general quantal boson Hamiltonian is derived and shown to have essentially the same spectroscopic character as that predicted by the partial SU(3) symmetry. The principal conclusion holds in two representative classes of energy density functionals: nonrelativistic and relativistic. The analysis is illustrated in application to the axially-deformed nucleus ${}^{168}$Er.

arXiv comment7 pages, 3 figures, 1 table

References in corpus (25)

• 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
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
• Physics of nuclei: Key role of an emergent symmetry
• Partial Dynamical Symmetry in Deformed Nuclei
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Partial Dynamical Symmetries
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Quadrupole Phonons in the Cadmium Isotopes
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
• Partial Dynamical SU(3) Symmetry and the Nature of the Lowest K=0 Collective Excitation in Deformed Nuclei
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Seniority in quantum many-body systems. I. Identical particles in a single shell
• Partial dynamical symmetry in a fermion system
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Partial dynamical symmetries and shape coexistence in nuclei
• Partial dynamical symmetry in Bose-Fermi systems
• Unmixing symmetries