Exact solution of U(5)-O(6) transitional description in interacting boson model with two-particle and two-hole configuration mixing

Lianrong Dai, Liaoning Normal University
Feng Pan, Liaoning Normal University
Ziwei Feng, Liaoning Normal University
Yu Zhang, Liaoning Normal University
Sai Cui, Liaoning Normal University
J. P. Draayer, Louisiana State University

Abstract

The exact solution of the U(5)-O(6) transitional description in the interacting boson model with two-particle and two-hole configuration mixing is derived based on the Bethe ansatz approach. The Bethe ansatz equations are provided to determine the model's eigenstates and corresponding eigen-energies. N= 2 and N= 4 cases are considered as examples to demonstrate the solution features. As an example of the application, some low-lying level energies and B(E2) ratios of 108Cd are fitted and compared with the corresponding experimental data.