Equivalent potentials of the geometric collective model and interacting boson model
We investigate the achievable degree of agreement between spectroscopic predictions 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-1 semiclassical potentials close to the minimum. The 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, are discussed for the transitional region from the prolate axially symmetric rotor to the spherical vibrator.