Equivalent potentials of the geometric collective model and interacting boson model - art. no. 054305

We investigate the achievable degree of agreement between spectroscopic pre dictions of the geometric collective model (GCM) and the interacting boson model-1 (IBM-1). First, the GCM potential-energy surfaces are made locally equivalent with the IBM-I semiclassical potentials close to the minimum. Th e GCM kinetic term is then optimized to reproduce some of the IBM-1 energy ratios. Differences between the spectra, as predicted by the two models, ar e discussed for the transitional region from the prolate axially symmetric rotor to the spherical vibrator.