Algebraic solutions of an sl-boson system in the U(2l + 1) ↔ O(2l + 2) transitional region

Feng Pan, Liaoning Normal University
Xin Zhang, Liaoning Normal University
J. P. Draayer, Louisiana State University


Exact eigen-energies and the corresponding wavefunctions of an interacting sl-boson system in a U (2l +1) ↔ O(2l + 2) transitional region are obtained by using the Bethe ansatz within an infinite-dimensional Lie algebra. A numerical algorithm for solving the Bethe ansatz equations is introduced. As an example, spectra for the U(3) ↔ O(4) transitional region of the U(4) Vibron model are analysed.