Abstract
Abstract An equivalent representation of the SO(8) fermion pair algebra is given in terms of s - and d -bosons. The s -boson is a quasispin vector-boson in our formalism. Boson quasispin is the clue to treating the pairing degrees of freedom on the same footing as the particle-hole degrees of freedom. As a consequence, we obtain the pairing rotation as a collective mode, in addition to the spatial rotations described by the IBM. We compare results of the exact numerical solution of the secular equation with those calculated in the HFB mean field approximation which attains the form of boson coherent states in our method. Goldstone bosons can be introduced which represent collective soft modes. Two components of the quasispin vector-boson can be associated with the removal and addition modes of the pairing vibration. The third component is the IBM s -boson.
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