Triaxial rotor in the SU(3) limit of the interacting boson model

Yu Zhang, Liaoning Normal University
Feng Pan, Liaoning Normal University
Lian Rong Dai, Liaoning Normal University
J. P. Draayer, Louisiana State University


A mapping from a triaxial rotor Hamiltonian to that of the SU(3) limit description in the interacting boson model (IBM) is established, which is achieved by the SU(3) realization of the triaxial rotor. A detailed comparison between the triaxial dynamics generated from the quadrupole-deformed rotor and those from the IBM image is made. The results indicate that the mapping can be well realized. A preliminary test for Ba128 further confirms the finite-N effect of the mapping. It thus provides an alternative way to understand the triaxiality in the finite-N system and additional insight into understanding the SU(3) IBM theory from microscopic point of view via the SU(3) shell model.