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

2008/11/30 by Tamara Nikšić, T. Niksic, Z. P. Li +6 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Classical mechanics #Degrees of freedom (physics and chemistry) #Eigenvalues and eigenvectors #Excitation #Geometry #Hamiltonian (control theory) #Homogeneous space #Mathematical physics #Mathematics #Mean field theory #Nuclear physics research studies #Physics #Quadrupole #Quantum mechanics #nucl-th

paper · pdf · doi:10.1103/physrevc.79.034303

published as Phys.Rev.C79:034303,2009 · 53 pages, 23 figures, accepted for publication in Phys. Rev. C

arxiv created 2009/02/24 · openalex publication_date 2009/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Self-consistent mean-field models for nuclear structure
• Effects ofβ−γcoupling in transitional nuclei and the validity of the approximate separation of variables
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Quantum Theory of Angular Momentum

Cited by

• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions
• Symmetry conserving configuration mixing description of odd mass nuclei
• 3D relativistic Hartree-Bogoliubov model with a separable pairing interaction: Triaxial ground-state shapes
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Energy density functional analysis of shape evolution inN=28isotones