With the growing interest in ultracold dilute atomic gases and the fast development of experimental technology in the past decade,the quantum degenerate gases for a number of atomic species have been created at extremely low temperaturcs in many laboratories,and a variety of two condensates of different atomic species have also been realized and studied intensively.[1] Meanwhile,the properties of quantum degenerate gases such as a BEC or a degenerate Fermi gas (DFG) of fermionic atoms in different spin states also attract a great deal of theoretical and experimental research.[1] Almost all of these applied elastic collisions between cold atoms play a very important role.[2]At a sufficiently low temperature the kinetic energy of colliding atoms becomes less than the centrifugal barrier,and the interaction between two bosonic atoms or two non-idential fermionic atoms can be characterized by their s-wave scattering length a.