A basis of cranking operators for the pairing-plus-quadrupole model

Abstract

We investigate the RPA normal-mode coordinates in the pairing-plus-quadrupole model, with an eye on simplifying the application of large amplitude collective motion techniques. At the Hartree-Bogoliubov minimum, the RPA modes are exactly the cranking operators of the collective coordinate approach. We examine the possibility of representing the self-consistent cranking operator by linear combinations of a limited number of one-body operators. We study the Sm nuclei as an example, and find that such representations exist in terms of operators that are state-dependent in a characteristic manner.

6 pages, 1 figure, using IOP journal style files, to be published in J. Phys. G

References in corpus (2)

• Diabatic and Adiabatic Collective Motion in a Model Pairing System
• Collective coordinates, shape transitions and shape coexistence: a microscopic approach

Cited by in corpus (2)

• Local harmonic approaches with approximate cranking operators
• Removal of Spurious Admixture in a Self-consistent Theory of Adiabatic Large Amplitude Collective Motion