Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions

Journal Article · Sun Mar 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.034303· OSTI ID:21199607

Niksic, T; Li, Z P; Vretenar, D; Prochniak, L; Meng, J; Ring, P ^[1]

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1. Physics Department, Faculty of Science, University of Zagreb (Croatia)

The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.

• OSTI ID: 21199607
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 79, Issue 3; Other Information: DOI: 10.1103/PhysRevC.79.034303; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
COLLECTIVE EXCITATIONS
CORRELATIONS
DEGREES OF FREEDOM
EIGENVALUES
ENERGY DENSITY
EVEN-EVEN NUCLEI
FLUCTUATIONS
GADOLINIUM ISOTOPES
HAMILTONIANS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
POTENTIAL ENERGY
PROBABILITY
QUADRUPOLES
RELATIVISTIC RANGE
SPECTRA
SURFACES
SYMMETRY BREAKING