Interacting Boson-Fermion model of collective states IV. The SU(3) ⊗ U(2) limit

Abstract

The dynamic Bose-Fermi symmetries connected with the SU(3) limit of the interacting boson model are discussed in detail. They arise whenever the odd nucleon can occupy all single particle orbits in an oscillator shell with quantum number n, j = n + 1 2 , n − 1 2 , …, 1 2 . Closed expressions for energies, electromagnetic transition rates and moments, and (one and two) nucleon transfer reaction intensities are derived and compared to a description of deformed odd-even nuclei in terms of the Nilsson model. It is suggested that the nuclei 185W and 169Tm provide experimental evidence for this type of symmetry in nuclei.