Binary l-matched reactions in 14N + 159Tb collisions

Low energy incomplete fusion: Observation of a significant incomplete fusion fraction atℓ< ℓcrit

“…-8] have shown that the results of sum rule model calculation [3] are not consistent for the study of low energy incomplete fusion reaction dynamics. In this model, it is assumed that ICF channels open only for those partial waves which have values equal or greater than crit .…”

“…On the other hand partial waves which have values less than crit , contributes to CF processes. The model contains three free parameters: the effective temperature T, the effective Coulomb interaction radius R C , and diffuseness in distribution Δ. Wilczynski et al [3], to fit the experimental data in the 14 N + 159 T b reaction at Elab = 140 MeV, used T = 3.5 MeV, R c /(A 1/3 P + A 1/3 T ) = 1.5, and Δ = 1.7 . In the present work, it has been observed that the experimental cross section for fusion-evaporation channels agree reasonably well with the predictions of the sum rule model.…”

“…The underestimation of the ICF cross section by the sum rule model may be due to the assumption in the model that a major contribution to the ICF reactions comes from the collision trajectories with the angular momentum ( ) greater than the critical angular momentum for complete fusion ( crit ). For a better perception about the diffuseness in distribution at low incident energies, the critical angular momentum crit for 16 O + 165 Ho system, at which the pocket in the entrance-channel potential disappears, has been calculated using the prescription of Wilzyanski et al [3].…”

“…However, in recent years at low projectile energies i.e., near and/or above the Coulomb barrier (CB), the ICF sets in, where the CF is supposed to play a key role to the total fusion cross-section. The distinction between CF and ICF can be made on the basis of driving input angular momenta [3,4] as suggested by Wilczynski et al [3] in their sumrule model hypothesis. In this hypothesis they asummed a sharp cut-off approximation, according to which the probability of CF is asummed to be unity for = crit and expected to be zero for > crit .…”

Effect of the Target Deformation on Incomplete Fusion Dynamics

“…Various dynamical models viz. Break-Up Fusion (BUF) [7], Sumrule [8], Promptly Emitted Particles (PEPs) [9], Hot Spot [10], Multistep Direct Reaction theory [10] …”