Generalized density matrix reexamined: Microscopic approach to collective dynamics in soft spherical nuclei

Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.024318· OSTI ID:21596655

Jia, L Y ^[1]

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1. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

The generalized density matrix method is used to calculate microscopically the parameters of the collective Hamiltonian. Higher-order anharmonicities are obtained consistently with the lowest-order results, the mean field (Hartree-Fock-Bogoliubov equation), and the harmonic potential (quasiparticle random-phase approximation). The method is applied to soft spherical nuclei, where the anharmonicities are essential for restoring the stability of the system, as the harmonic potential becomes small or negative. The approach is tested in three models of increasing complexity: the Lipkin model, model with factorizable forces, and the quadrupole plus pairing model.

• OSTI ID: 21596655
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 84, Issue 2; Other Information: DOI: 10.1103/PhysRevC.84.024318; (c) 2011 American Institute of Physics; 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
DENSITY MATRIX
EQUATIONS
HAMILTONIANS
HARMONIC POTENTIAL
HARTREE-FOCK-BOGOLYUBOV THEORY
MEAN-FIELD THEORY
NUCLEI
RANDOM PHASE APPROXIMATION
SPHERICAL CONFIGURATION
STABILITY
APPROXIMATIONS
CALCULATION METHODS
CONFIGURATION
MATHEMATICAL OPERATORS
MATRICES
NUCLEAR POTENTIAL
POTENTIALS
QUANTUM OPERATORS