Point symmetries in the Hartree-Fock approach: Symmetry-breaking schemes

Abstract

We analyze breaking of symmetries that belong to the double point group D2h(TD) (three mutually perpendicular symmetry axes of the second order, inversion, and time reversal). Subgroup structure of the D2h(TD) group indicates that there can be as much as 28 physically different, broken-symmetry mean-field schemes --- starting with solutions obeying all the symmetries of the D2h(TD) group, through 26 generic schemes in which only a non-trivial subgroup of D2h(TD) is conserved, down to solutions that break all of the D2h(TD) symmetries. Choices of single-particle bases and the corresponding structures of single-particle hermitian operators are discussed for several subgroups of D2h(TD).

10 RevTeX pages, companion paper in nucl-th/9912072

References in corpus (1)

• Point symmetries in the Hartree-Fock approach: Densities, shapes and currents

Cited by in corpus (26)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Quadrupole collective states within the Bohr collective Hamiltonian
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Theory of Nuclear Fission
• Effects of symmetry breaking in finite quantum systems
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the program
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• The tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
• Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Point symmetries in the Hartree-Fock approach: Densities, shapes and currents
• Triaxiality and shape coexistence in Germanium isotopes
• Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): A new version of the program
• Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach
• Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei
• Octupole deformations in actinides at high spins within the cranking Skyrme-Hartree-Fock approach
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Characteristic Feature of Self-Consistent Mean-Field in Level Crossing Region
• Nonaxial octupole deformations in light N=Z nuclei at high spins
• Applicability of self-consistent mean-field theory
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Exploring Spin Symmetry-Breaking Effects for Static Field Ionization of Atoms: Is There an Analog to the Coulson-Fischer Point in Bond Dissociation?
• Spatial symmetries of the local densities
• Microscopic Theory of Nuclear Fission
• Skyrme pseudopotentials at next-to-next-to-leading order Construction of local densities and first symmetry-breaking calculations