Abstract

It is shown that an effective quadrupole interaction between like bosons in the Interacting Boson Model (IBM) arises from the neutron-proton quadrupole force as a consequence of the truncation of the full shell-model space to the SD sub-space. The strength of this effective interaction vanishes in the SU(5) limit of IBM but is appreciable in the SU(3) and O(6) limits and thus can give rise to the occurrence of an SU(3) symmetry.

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