Effects of surface diffuseness parameter on quasi-elastic scattering have been studied using the nuclear potential Woods-Saxon (WS) for 6He+64Zn, 7Li+64Zn and 8Li+90Zr systems. The effect of rotational deformation was included for the nuclei 64Zn with ground state rotational band up to the 4+ states. We have been carried out the single (SC) and coupled-channels (CC) calculations to obtain the best compatibility between the notional accounts of dσqel/dσR with experimental data for systems studied. we find that the best fitted value of the diffuseness parameter which obtained through a coupled- channel calculation with inert target and excited projectile for In the current work, the singlechannel (SC) and the coupled- channels (CC) calculations, which were between the relative motion of the colliding nuclei and their intrinsic motions, were conducted to study its influence on calculation, the ratio of the quasi-elastic to the Rutherford cross sections and probe the surface diffuseness find that the best fitted value of the diffuseness parameter which obtained through a coupled- channel calculation with inert target and excited projectile for the 6He+64Zn, 7Li+64Zn and 8Li+90Zr.

Quasielastic Scattering, Woods-Saxon Potential, Single Channel, Coupled Channels, Surface Diffuseness Parameter, Heavy-ion System.