The anomalies of moment of inertia in "*'"Os are analysed in the interacting-boson-plus-fen$o?-pair model. The angular momentum-angular momentum LnteJaction term (L .L) in the boson Hamiltonian is renormalired by a(1 +fL. L)-' factor. It was found that the renormalization facilitates the interaction parameter searching and all boson-boson and boson-fermion interaction parameters for the isotope chain can be unified. Energy levels can be reproduced quite well. The general features in the moment of inertia anomalies can be reproduced. The transition quadrupole moments are calculated and compared with other estimates.

The interacting-boson-plus-fermion model is extended to include three fermions. The model is applied to study the odd-mass ' ' Ce isotopes. It is found that the negative-parity states above the band crossings are dominated by (mh»~~) (vh»&2) ' configurations. Energy levels are calculated and compared with experimental data. B (E2) values of the yrast states are calculated and compared with the values calculated by Faessler, Kuyucak, and Wakai. It is found that the calculated B (E2) values reveal sudden drops at the positions of band crossings.

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