Analysis of the dynamics of Li7 -induced fusion with natZr up to 44 MeV

Abstract

An experimental study on the fusion dynamics of the $^{7}\mathrm{Li}+^{\text{nat}}\mathrm{Zr}$ reaction has been carried out within the 4.0 to 6.3 MeV/nucleon energy range by measuring cross sections of the populated residues with the help of $\ensuremath{\gamma}$-ray spectrometry. The equilibrium and pre-equilibrium reaction models have been used in the framework of empire3.2.2 to analyze the measured residual cross sections to shed light on the reaction mechanism involved in it. It indicates that the complete and incomplete fusion of $^{7}\mathrm{Li}$ contribute to the residual cross sections. Thus, the strength of incomplete fusion has been derived and is compared with other $^{7}\mathrm{Li}$-induced reactions in the similar mass range. Further, coupled channel (CC) calculations have been carried out to understand the effect of couplings in the fusion process. It has been observed that the fusion cross section is suppressed in $^{7}\mathrm{Li}+^{\text{nat}}\mathrm{Zr}$ reaction as compared to CC calculations far above the Coulomb barrier. The isomeric cross-section ratio has also been obtained from the measured cross sections of the isomeric pairs of $^{93,95}\mathrm{Tc}$ that describes the role of angular momentum and relative spins of the ground and isomeric states with the variation of bombarding energy.