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We present a new investigation of elastic and inelastic positron-sodium scattering by using the coupled-channel optical method(CCO)at an incident energy region of 2-100eV.The ionization continuum and positronium formation channels have been included via a complex equivalent-local optical potential.The present calculations are compared with available theoretical data and our investigation indicates that the inclusion of ionization and Ps-formation channels in the present calculations has a significant effect on the cross sections of elastic and inelastic positron-sodium scattering at lower energies.