Decomposing the linear momentum transfer components in break-up fusion reactions: An experimental study of the F19+Tb159 system

Abstract

In the present work, measurement and analysis of forward recoil range distribution of various reaction residues populated in the interaction of $^{19}\mathrm{F}$ projectile with $^{159}\mathrm{Tb}$ target nucleus have been performed. The aim is to disentangle the contribution of complete fusion (CF) and incomplete fusion (ICF) components at two different above-barrier energies $\ensuremath{\approx}83$ and 94 MeV. The recoil-catcher technique with off-line $\ensuremath{\gamma}$-ray spectroscopy has been performed. The complete and incomplete fusion events have been identified by full and partial linear momentum transfer, respectively. A single Gaussian distribution has been observed in case of residues populated via complete fusion processes. However, the recoil range distribution for $\ensuremath{\alpha}$-emitting channels was found to be deconvoluted into more than one Gaussian peak indicating the involvement of both full and partial linear momentum transfer components due to the presence of CF and ICF processes. The analysis of data suggests that projectile breaks up as soon as it comes near the vicinity of target nuclear field leading to different linear momentum transfer components. Further, the analysis done within the framework of universal fusion function indicates a significant break-up fusion probability of $^{19}\mathrm{F}$ projectile. As such, at lower energies $^{19}\mathrm{F}$ is found to behave similar to other $\ensuremath{\alpha}$-cluster beams.