A boson-fermion model with two bands of different masses is formulated. The exact eigenstates of the model Hamiltonian are constructed by using the Bethe ansatz. The Bethe ansatz equations are obtained from the periodic boundary conditions. Only bound states like Cooper-pairs exist in this system. It is concluded that this model is completely integrable only when the two masses are the same.
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china ctr adv sci & technol,world lab,beijing 100080,peoples r china. acad sinica,inst theoret phys,beijing 100080,peoples r china. acad sinica,int ctr mat phys,shenyang 110015,peoples r china. shanxi univ,inst theoret phys,taiyuan 030006,peoples r china.;liu, wm (reprint author), acad sinica,inst phys,pob 63099,beijing 100080,peoples r china
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