Large Amplitude Collective Motion in Nuclei and Metallic Clusters: Applicability of adiabatic theory for a pairing model

Abstract

A model Hamiltonian describing a two-level system with a crossing plus a pairing force is investigated using technique of large-amplitude collective motion. The collective path, which is determined by the decoupling conditions, is found to be almost identical to the one in the Born-Oppenheimer approximation for the case of a strong pairing force. For the weak pairing case, the obtained path describes a diabatic dynamics of the system.

Comments: 3 pages, Latex using epsf.sty, 2 postscript figures included. Talk presented at Conference on ``Atomic Nuclei and Metallic Clusters: Finite Many-Fermion Systems'' (September 1 -- 5, 1997, Prague, Czech Republic), to be published in Czechoslovak J. Phys