Diabatic and Adiabatic Collective Motion in a Model Pairing System

Details Diabatic and Adiabatic Collective Motion in a Model Pairing System Diabatic and Adiabatic Collective Motion in a Model Pairing System

1997-10-16

arxiv.org/abs/nucl-th/9710037v1

Phys.Rev.C57:1192-1203,1998

Physics

Nuclear Physics

Nuclear Theory

23 pages, 7 ps figures. Latex, uses revtex and graphicx

Scientific paper

10.1103/PhysRevC.57.1192

Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilising either a time-dependent mean-field theory or a direct parametrisation of the time-dependent Schr\"odinger equation. A modified local harmonic equation is formulated to take account of the Nambu-Goldstone mode. It turns out that in some cases the system selects a diabatic path. Requantizing the collective Hamiltonian, a reasonable agreement with an exact calculation for the low-lying levels are obtained for both weak and strong pairing force. This improves on results of the conventional Born-Oppenheimer approximation.

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