Abstract
The boson-fermion symmetries, which are connected with the U ( B) (5) limit of the interacting boson model are discussed. These symmetries arise when the bosons have U(5) symmetry and the fermions occupy a single-particle orbit with spin j = 1 2 (Spin(3) limit), j = 3 2 (Spin(5) limit), or j = 3 2 , 5 2 ( U ( B+ F) (5) ⊗ U ( F) (2) limit). Closed expressions for energy spectra, electromagnetic transition rates, static moments, and (one and two) nucleon transfer reaction intensities are derived.
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