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The same-position scattering (SPS) of more than two electrons in a onedimensional model of two-band electrons with spin-exchange interaction is discussed. The boundary conditions of three-and four-particle SPS are given. It is shown that the conditions can be fulfilled by the two-particle boundary conditions for the Bethe ansatz (BA) wavefunction. Consequently, the definition of the BA wavefunction can be extended to those cases of more than two particles occupying the same position. Therefore,doi:10.1088/0305-4470/34/18/318 fatcat:iqws5xbqsndexirlcuagnynu7q