Study of threshold anomaly in elastic scattering of $^{14}$N by $^{56}$Fe and $^{90}$Zr

Abstract

We use a phenomenological nucleus-nucleus optical potential constructed in the light of a potential developed by Ginocchio to study the elastic angular distributions of different nuclear systems near Coulomb barrier. The differential cross section ratios of elastic to Rutherford are studied for systems $^{14}$N+$^{56}$Fe and $^{14}$N+$^{90}$Zr for several colliding energies. Our theoretical predictions are well competitive with the experimental data, and the significantly small imaginary part of the potential explains the elastic scattering cross section and threshold anomaly in both systems.