Local harmonic approaches with approximate cranking operators

Abstract

Methods of large amplitude collective motion in the adiabatic limit are examined with a special emphasis on conservation laws. We show that the restriction to point transformations, which is a usual assumption of the adiabatic time-dependent mean-field theory, needs to be lifted. In order to facilitate the application of large amplitude collective motion techniques, we examine the possibility of representing the RPA normal-mode coordinates by linear combinations of a limited number of one-body operators. We study the pairing-plus-quadrupole model of Baranger and Kumar as an example, and find that such representations exist in terms of operators that are state-dependent in a characteristic manner.

29 pages, 5 figures

References in corpus (4)

• Microscopic Structure of High-Spin Vibrational Excitations in Superdeformed 190,192,194Hg
• Diabatic and Adiabatic Collective Motion in a Model Pairing System
• Collective coordinates, shape transitions and shape coexistence: a microscopic approach
• A basis of cranking operators for the pairing-plus-quadrupole model

Cited by in corpus (5)

• Time-dependent density-functional description of nuclear dynamics
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• 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
• Towards a practical approach for self-consistent large amplitude collective motion