Shell-Model Tests of the Interacting-Boson-Model Description of Nuclear Collective Motion

Large shell-model calculations have been made of a pseudonucleus to see (1) what collective features appear and (2) what the resulting collective wave functions consistent with the assumption of the interacting-boson model are. In the calculations, sets of states with striking similarity to states in $K=0\mathrm{}$ and $K=2\mathrm{}$ rigid-rotor bands appear. For the $K=0\mathrm{}$ bands, the lower states are dominated by states formed from coupling $J=0\mathrm{}$ and $J=2\mathrm{}$ two-neutron and two-proton states, consistent with the assumptions of the interacting-boson model.