Quantum phase transitional behavior in the extended casten triangle of the Interacting Boson Model

Feng Pan, Liaoning Normal University
Tao Wang, Liaoning Normal University
Y. S. Huo, Liaoning Normal University
J. P. Draayer, Louisiana State University


Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the Interacting Boson Model are studied based on an implemented Fortran code for numerical computation of the matrix elements in the SU(3) Draayer-Akiyarna basis. Results with respect to both ground and some excited states of the model Hamiltonian are discussed. Quantum phase transitional behavior under a variety of parameter situations is shown. It is found that transitional behavior of excited states is more complicated. Pt isotopes are taken as examples in illustrating the prolate-oblate shape phase transition. © World Scientific Publishing Company.