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Particle-hole symmetry in the interacting-boson model: Fermion and boson aspects.

We show that the S-D subspaces, which are used in the Otsuka-Arima-Iachello microscopic derivation of the interacting-boson model, form a particle-hole-symmetric family. Consequently, there exist particle-hole-symmetric prescriptions for determining the structure of the S and D pairs. This result holds independently of whether the Hamiltonian conserves generalized seniority. Nevertheless, there are deviations from particle-hole symmetry when boson matrix elements involving more than two d bosons are calculated in lowest order using the boson mapping procedure of Otsuka, Arima, and Iachello. These deviations are used to estimate the inaccuracies introduced by the lowest-order mapping.