qdeformations in the interacting boson model for nuclei

q deformations of the Hamiltonian with SO(6) or U(5) symmetry in the interacting s,d boson model are discussed. The deformations are introduced through q-deformed U(5), SO(3), and the boson pairing algebra SU(1,1). It is shown that the SO(6) or U(5) dynamical symmetry remains after deformation. The deformed Hamiltonian under the two limiting cases can be applied to describe energy spectra of certain isotopes. As examples, energy spectra and some E2 transition rates of even-even ${}_{}{}^{110\mathrm{-}114}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{190\mathrm{-}196}{}_{}{}^{}\mathrm{Pt}$, and ${}_{}{}^{124\mathrm{-}128}{}_{}{}^{}\mathrm{Xe}$ are fitted and compared with the experimental results. Finally, the physical meaning of q deformation is also discussed.