Towards a practical approach for self-consistent large amplitude collective motion

Abstract

We investigate the use of an operatorial basis in a self-consistent theory of large amplitude collective motion. For the example of the pairing-plus-quadrupole model, which has been studied previously at equilibrium, we show that a small set of carefully chosen state-dependent basis operators is sufficient to approximate the exact solution of the problem accuratly. This approximation is used to study the interplay of quadrupole and pairing degrees of freedom along the collective path for realistic examples of nuclei. We show how this leads to a viable calculational scheme for studying nuclear structure, and discuss the surprising role of pairing collapse.

19 pages, 8 figures Revised version To be published in Phys. Rev. C

References in corpus (5)

• Nuclear Ground-State Masses and Deformations
• Separable RPA for self-consistent nuclear models
• Application of the Adiabatic Selfconsistent-Collective-Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence
• Collective coordinates, shape transitions and shape coexistence: a microscopic approach
• Local harmonic approaches with approximate cranking operators

Cited by in corpus (6)

• Time-dependent density-functional description of nuclear dynamics
• Open problems in microscopic theory of large-amplitude collective motion
• Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Collective Path Connecting the Oblate and Prolate Local Minima in 68Se
• Removal of Spurious Admixture in a Self-consistent Theory of Adiabatic Large Amplitude Collective Motion