The dynamics of the N-Y system with S = -1 is re-solved, and the spuri
ous resonances in the previous calculation are removed. By performing
the double Fourie transformation, the GCM kernels are transformed to t
he RGM kernels. The equivalent local N-Y potentials for S = -1 systems
are then calculated. It is shown that the obtained potentials are sim
ilar to Yamamoto's results obtained by using the OBE model where the p
henomenological hard cores were adopted. With these potentials, the ph
ase shifts and cross sections for S = -1 systems can be re-produced.