Sensitivity of low-energy incomplete fusion to various entrance-channel parameters

Abstract

The disentangling of incomplete fusion dependence on various entrance channel parameters has been made from the forward recoil range distribution measurement for the 12C+175Lu system at $\approx 88$ MeV energy. It gives the direct measure of full and/or partial linear momentum transfer from the projectile to the target nucleus. The comparison of observed recoil ranges with theoretical ranges calculated using the code SRIM infers the production of evaporation residues via complete and/or incomplete fusion process. Present results show that incomplete fusion process contributes significantly in the production of $\alpha xn$ and $ 2\alpha xn$ emission channels. The deduced incomplete fusion probability ( $F_{ICF}$ ) is compared with that obtained for systems available in the literature. An interesting behavior of $F_{ICF}$ with $Z_{P} Z_{T}$ is observed in the reinvestigation of incomplete fusion dependency with the Coulomb factor ( $Z_{P}Z_{T}$ ), contrary to the recent observations. The present results based on ( $Z_{P}Z_{T}$ ) are found in good agreement with recent observations of our group. A larger $F_{ICF}$ value for 12C induced reactions is found than that for 13C, although both have the same $Z_{P}Z_{T}$ . A nonsystematic behavior of the incomplete fusion process with the target deformation parameter ( $\beta_{2}$ ) is observed, which is further correlated with a new parameter ( $Z_{P} Z_{T} . \beta_{2}$ ). The projectile $ \alpha$ -Q-value is found to explain more clearly the discrepancy observed in incomplete fusion dependency with parameters ( $ Z_{P}Z_{T}$ ) and ( $Z_{P} Z_{T} . \beta_{2}$ ). It may be pointed out that any single entrance channel parameter (mass-asymmetry or ( $Z_{P}Z_{T}$ ) or $\beta_{2}$ or projectile $\alpha$ -Q-value) may not be able to explain completely the incomplete fusion process.