Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.034315· OSTI ID:21388884

Robledo, L M; Baldo, M; Schuck, P; Vinas, X ^[1]

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1. Dep. Fisica Teorica (Modulo 15), Universidad Autonoma de Madrid, E-28049 Madrid (Spain)

We discuss the octupole deformation properties of the recently proposed Barcelona-Catania-Paris (BCP) energy density functionals for two sets of isotopes, those of radium and barium, in which it is believed that octupole deformation plays a role in the description of the ground state. The analysis is carried out in the mean field framework (Hartree-Fock-Bogoliubov approximation) by using the axially symmetric octupole moment as a constraint. The main ingredients entering the octupole collective Hamiltonian are evaluated and the lowest-lying octupole eigenstates are obtained. In this way we restore, in an approximate way, the parity symmetry spontaneously broken by the mean field and also incorporate octupole fluctuations around the ground-state solution. For each isotope the energy of the lowest lying 1{sup -} state and the B(E1) and B(E3) transition probabilities have been computed and compared to both the experimental data and the results obtained in the same framework with the Gogny D1S interaction, which are used here as a well-established benchmark. Finally, the octupolarity of the configurations involved in the way down to fission of {sup 240}Pu, which is strongly connected to the asymmetric fragment mass distribution, is studied. We confirm with this thorough study the suitability of the BCP functionals to describe octupole-related phenomena.

• OSTI ID: 21388884
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevC.81.034315; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
ASYMMETRY
AXIAL SYMMETRY
BARIUM ISOTOPES
BENCHMARKS
CONFIGURATION
DENSITY FUNCTIONAL METHOD
E1-TRANSITIONS
E3-TRANSITIONS
EIGENSTATES
ENERGY DENSITY
FISSION
FLUCTUATIONS
FUNCTIONALS
GROUND STATES
HAMILTONIANS
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERACTIONS
MASS DISTRIBUTION
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
NUCLEAR DEFORMATION
OCTUPOLES
PARITY
PLUTONIUM 240
RADIUM
RADIUM ISOTOPES
ACTINIDE NUCLEI
ALKALINE EARTH ISOTOPES
ALKALINE EARTH METALS
ALPHA DECAY RADIOISOTOPES
CALCULATION METHODS
DEFORMATION
DISTRIBUTION
ELEMENTS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
FUNCTIONS
HEAVY NUCLEI
ISOTOPES
MATHEMATICAL OPERATORS
METALS
MULTIPOLE TRANSITIONS
MULTIPOLES
NUCLEAR REACTIONS
NUCLEI
PARTICLE PROPERTIES
PLUTONIUM ISOTOPES
QUANTUM OPERATORS
RADIOISOTOPES
SPATIAL DISTRIBUTION
SPONTANEOUS FISSION RADIOISOTOPES
SYMMETRY
VARIATIONAL METHODS
VARIATIONS
YEARS LIVING RADIOISOTOPES