Generalized Density Matrix Revisited: Microscopic Approach to Collective Dynamics in Soft Spherical Nuclei

Abstract

The generalized density matrix (GDM) 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 (HFB) equation] and the harmonic potential [quasiparticle random phase approximation (QRPA)]. 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.

submitted to Physical Review C on 08 May, 2011

References in corpus (3)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Quadrupole collective states within the Bohr collective Hamiltonian
• Nuclear Structure and the Search for Collective Enhancement of P,T-Violation

Cited by in corpus (4)

• A Number-Conserving Theory for Nuclear Pairing
• Accuracy of the new pairing theory and its improvement
• Equivalent Representations of Collective Hamiltonian and Implication on Generalized Density Matrix Method
• Validity of the Generalized Density Matrix Method for Microscopic Calculation of Collective/Bosonic Hamiltonian