Systematic study on the isotopic behavior of fusion barrier using the density-dependent nucleon–nucleon interactions

Abstract

By changing the neutron and nuclear matter incompressibility constant [Formula: see text], we investigate the isotopic behavior of the fusion barriers for the collision of large number of different isotopes with condition of [Formula: see text]. Here, the double folding (DF) model which is accompanied by density-dependent (DD) versions of M3Y interactions is adopted as a basic heavy ion–ion potential. We show that the selected DD potentials predict a linear behavior for the calculated fusion barrier heights as a function of [Formula: see text] for both proton- and neutron-rich systems. Moreover, the results indicate that the isotopic behavior of these values depend linearly on the change in the [Formula: see text] constant. The isotopic studies conducted on the fusion cross-section also shows that the properties of the nuclear matter in the range of energy which is below the fusion barrier will quite affect the fusion process.