Effect of entrance-channel parameters on incomplete fusion reactions

Abstract

In order to disentangle the contribution of complete and incomplete fusion components and to study their dependence on various entrance-channel observables, the measurement and analysis of forward recoil ranges, which is the direct measure of linear momentum transfer from projectile to the target nuclei, has been done in the interaction of ${}^{12}$C beam with ${}^{159}$Tb target nucleus at three distinct above-barrier energies $\ensuremath{\approx}74$, 80, and 87 MeV. The recoil-catcher technique followed by off-line $\ensuremath{\gamma}$-ray spectroscopy has been used. The complete and incomplete fusion events have been tagged by full and partial linear momentum transfer components, respectively. The observed incomplete fusion events have been explained on the basis of the breakup fusion model where these events may be attributed to the fusion of ${}^{8}$Be and/or ${}^{4}$He from ${}^{12}$C projectile to the target nucleus. Analysis of the data indicates that the incomplete fusion has significant contribution at the studied energies and its contribution has been found to increase with the beam energy. An attempt has also been made to understand the projectile structure effect on the underlying reaction dynamics.