Exact eigen-energies and the corresponding wavefunctions of the interacting sl-boson system in U(2l+1) transitional region are obtained by using an algebraic Bethe ansatz with the infinite dimensional Lie algebraic technique.

• 利用无穷维李代数方法得到了相互作用sl玻色子体系在U( 2l+ 1 ) O( 2l+ 2 )过渡区的能谱和波函数的严格解 .