Abstract
We study the phenomenon of shape coexistence at or near single-closed shells. For that purpose, we describe multi-particle-hole intruder excitations on equal footing with regular excitations in the interacting boson model, by introducing the particle-hole degree of freedom, through a new quantum number, called I(ntruder)-spin. The resulting horizontal classification scheme of multi-particle-hole intruder excitations in terms of I-spin multiplets is useful to interpret data and to describe global properties of intruder excitations throughout a mass region. On the other hand, the creation and annihilation of particle-hole pairs, using a non-compact algebraic structure U(6,6), allows to account for local properties associated with mixing between regular and intruder excitations. We will illustrate the model by discussing a particular series of isotopes where shape coexistence may be present, 192–210Po.
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