Quantum groups of motion and rotational spectra of heavy nuclei

Abstract

A simple model of rotator based on the q-Poincaré energy mass relation describes the rotational levels of even-even nuclei. Owing to the presence of the q-deformation, although the rotational velocities result is of the order of 10 −3 c, the behaviour is completely different from the usual rigid rotator. The quantum deformation parameter introduces a time scale that is of the order of the characteristic time of the strong interaction. The second free parameter, the radius of the nucleus, gives the right nuclear dimensions. The two-parameter energy fit is very good, even in comparison with the su q (2) based model. Although describing only single band effects, the model gives the correct experimental values where backbending or upbending occur.