Systematic study of incomplete-fusion dynamics below 8 MeV/nucleon energy

Abstract

An attempt has been made to provide crucial information about the dependence of incomplete-fusion dynamics on various entrance channel parameters below 8 MeV/nucleon energy. The forward recoil range distributions of several evaporation residues produced in the $^{13}\mathrm{C}+^{175}\mathrm{Lu}$ system have been measured at $\ensuremath{\approx}88$-MeV energy and examined in the framework of the code SRIM. Owing to the fractional linear momentum transfer from the projectile to the target nucleus, incomplete-fusion (ICF) products are observed to be trapped at lower cumulative thickness than that of complete fusion products. In order to study the incomplete-fusion behavior with various entrance channel parameters, the incomplete-fusion fraction (${F}_{\mathrm{ICF}}$) has also been deduced and compared with those obtained for the systems available in the literature. The reinvestigation of the Coulomb factor $({Z}_{P}{Z}_{T})$ dependence of incomplete fusion indicates that it is somehow projectile structure dependent. No systematic trend is observed with the target deformation parameter $({\ensuremath{\beta}}_{2})$ dependent study of ICF. A systematic linear growth in the incomplete-fusion probability function (${F}_{\mathrm{ICF}}$) is observed with increasing the parameters ${Z}_{P}{Z}_{T}{\ensuremath{\beta}}_{2}$ and ${Z}_{P}{Z}_{T}/(1\ensuremath{-}{\ensuremath{\beta}}_{2})$, but separately for $\ensuremath{\alpha}$- and non-$\ensuremath{\alpha}$-cluster structured projectiles with different targets. The present findings explore the role of Coulomb interaction on ICF dynamics more effectively. Moreover, the projectile $\ensuremath{\alpha}\ensuremath{-}Q$ value is found to be a suitable parameter which explains effectively the observed trend in the study of ICF with the above-mentioned parameters. The incomplete-fusion existence below critical angular momentum (${\ensuremath{\ell}}_{\mathrm{crit}}$), i.e., $\ensuremath{\ell}\phantom{\rule{0.16em}{0ex}}\ensuremath{\le}\phantom{\rule{0.16em}{0ex}}{\ensuremath{\ell}}_{\mathrm{crit}}$, is also observed for the present $^{13}\mathrm{C}+^{175}\mathrm{Lu}$ system.