Probing the influence of incomplete fusion in the Li6+Y89 reaction up to 7.2 MeV/nucleon energy

The nuclear reaction study with weakly bound heavy nuclei is an enduring open question due to the scarcity of experimental data. In view of this, an experiment has been performed to study the fusion dynamics of weakly bound $^{6}\mathrm{Li}$ projectile in $^{6}\mathrm{Li}+^{89}\mathrm{Y}$ reaction at energies slightly above the Coulomb barrier. The off-beam $\ensuremath{\gamma}$-spectroscopic technique has been used to measure the cross sections of populated residues in $^{6}\mathrm{Li}+^{89}\mathrm{Y}$ reaction, and the data are analyzed using equilibrium and pre-equilibrium models in the framework of the empire3.2.2 code. It has been found that complete fusion (CF) and incomplete fusion (ICF) of $^{6}\mathrm{Li}$ play a substantial role in producing the residues. Subsequently, the ICF cross section, which is a model-dependent quantity, has been extracted. The strength of incomplete fusion has been deduced and compared with the existing data from $^{7}\mathrm{Li}+^{89}\mathrm{Y}$ reaction. The ICF strength is found to be higher for $^{6}\mathrm{Li}+^{89}\mathrm{Y}$ as compared with the $^{7}\mathrm{Li}+^{89}\mathrm{Y}$ system, which possibly indicates the role of the projectile's structure on the ICF occurrence probability. The occurrence of ICF below a critical angular momentum is also anticipated for both $^{6}\mathrm{Li}$ and $^{7}\mathrm{Li}$ interaction with $^{89}\mathrm{Y}$.