Collective coordinates, shape transitions and shape coexistence: a microscopic approach

Abstract

We investigate a description of shape-mixing and shape-transitions using collective coordinates. To that end we apply a theory of adiabatic large-amplitude motion to a simplified nuclear shell-model, where the approximate results can be contrasted with exact diagonalisations. We find excellent agreement for different regimes, and contrast the results with those from a more standard calculation using a quadrupole constraint. We show that the method employed in this work selects diabatic (crossing) potential energy curves where these are appropriate, and discuss the implications for a microscopic study of shape coexistence.

20 pages, including 6 ps files

References in corpus (1)

• Diabatic and Adiabatic Collective Motion in a Model Pairing System

Cited by in corpus (6)

• Shape coexistence in even-even nuclei: A theoretical overview
• Towards a practical approach for self-consistent large amplitude collective motion
• Local harmonic approaches with approximate cranking operators
• Diabatic scission paths
• A basis of cranking operators for the pairing-plus-quadrupole model
• Removal of Spurious Admixture in a Self-consistent Theory of Adiabatic Large Amplitude Collective Motion