Dynamical versus kinematical symmetry breaking revisited

Abstract

We reinvestigate the question of whether or not the dynamical symmetries of the two-dimensional interacting boson model can be transformed into each other by the quantum deformation of the algebraic structure. The deformation of both the vibrational and the rotational spectra is considered, and the breaking of the classical symmetry is measured quantitatively, while a systematic search for the best fit is performed. In no case can the quantum-deformed spectrum reach the other classical limit; only a modest improvement is observed with the phase deformation of the rotational spectrum.