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Boson pair-breaking states in nuclei

The exact dispersion equations for the eigenstates of a system of bosons in a spherical or deformed potential well and interacting through a pairing interaction are used to reproduce the physics of the interacting boson model in three dynamical symmetry limits. These equations are generalised to treat the seniority-zero and -two states by switching on a surface-delta interaction between bosons. The model reproduces the quasiband structure in transition nuclei.