Scattering and fusion reaction dynamics of O + Zr system around Coulomb barrier

A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential.The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for σr.This is equated to the sum of the cross-sections due to absorption in different regions of the potential where the imaginary part is actively present.The potential is taken as energy independent and features a weakly absorbing nature,which supports the resonance states in various partial wave trajectories.Therefore,these resonances show oscillatory behavior changes with respect to energy D(Ec.m.)=d2(Ec.m.σfus)/dEc.m.2.In this paper,we discuss elastic scattering and fusion cross-sections in conjunction with the results of D(Ec.m.) for the16O+92Zr system.