Microscopic boson approach to nuclear collective motion

Abstract

A quantum mechanical approach to the maximally decoupled nuclear collective motion is proposed. The essential idea is to transcribe the original shell-model hamiltonian in terms of boson operators, then to isolate the collective one-boson eigenstates of the mapped hamiltonian and to perform a canonical transformation which eliminates (up to the two-body terms) the coupling between the collective and noncollective bosons. Unphysical states arising due to the violation of the Pauli principle in the boson space are identified and removed within a suitable approximation. The method is applied to study the low-lying collective states of nuclei which are successfully described by the exactly solvable multi-level pairing hamiltonian (Sn, Ni, Pb).