Finite size effect on the strong absorption radius and the barrier parameters of the heavy-ion potential.

Abstract

The finite size effect of interacting heavy ions on the strong absorption radius of the heavy-ion potential is examined. The inclusion of the finite size contribution to the dynamic moment of inertia yields smaller values for the strong absorption radius for a given value of the grazing angular momentum. The weak energy dependence seems to be an inherent property of the strong absorption radius parameter irrespective of the size consideration of the interacting heavy ions. The finite size effect has been quantitatively demonstrated for the $^{40}\mathrm{Ca}$${+}^{40}$Ca heavy-ion system. The interaction potential for the system is a sum of the Coulomb interaction term and the nuclear interaction part obtained from the unified nuclear potential approach of Krappe, Nix, and Sierk. The strength of the potential is calculated for separation distances greater than the contact radius of interacting heavy ions with sharp spherical ion shapes. The Coulomb interaction term outside the contact radius corresponds to two point charge interacting ions.