Exploring contributions from incomplete fusion in ${}^{6,7}$Li+${}^{209}$Bi and ${}^{6,7}$Li+${}^{198}$Pt reactions

Abstract

We use the breakup absorption model to simultaneously describe the measured cross-sections of the Complete fusion (CF), Incomplete fusion (ICF), and Total fusion (TF) in nuclear reactions induced by weakly bound nuclei ${}^{6,7}$Li on ${}^{209}$Bi and ${}^{198}$Pt targets. The absorption cross-sections are calculated using the Continuum Discretized Coupled Channels (CDCC) method with different choices of short range imaginary potentials to get the ICF, CF and TF cross-sections. It is observed that the cross-sections for deuteron-ICF/deuteron-capture are of similar magnitude as the $\alpha$-ICF/$\alpha$-capture, in case of ${}^6$Li projectile, while the cross-sections for triton-ICF/triton-capture is more dominant than $\alpha$-ICF/$\alpha$-capture in case of ${}^7$Li projectile. Both these observations are also corroborated by the experimental data. The ratio of ICF to TF cross-sections, which defines the value of fusion suppression factor is found to be in agreement with the data available from the literature. The cross-section ratio of CF/TF and ICF/TF show opposite behavior, the former decreases while the latter increases as the energy is lowered, which shows the dominance of ICF at below barrier energies. We have also studied the correlation of the ICF cross-sections with the non-capture breakup (NCBU) cross-sections as a function of energy, which shows that the NCBU is more significant than ICF at below barrier energies.

Accepted in Phys. Rev. C (6 pages, 5 figures)

References in corpus (5)

• Suppression of complete fusion due to breakup in the reactions ${}^{10,11}$B + ${}^{209}$Bi
• Reexamining closed-form formulae for inclusive breakup: Application to deuteron and ${}^6$Li induced reactions
• Influence of projectile <alpha>- breakup threshold on complete fusion
• Fusion of ${}^6$Li with ${}^{159}$Tb} at near barrier energies
• Probing transfer to unbound states of the ejectile with weakly bound 7Li on 93Nb

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• Incomplete fusion analysis of ${}^7$Li-induced reaction on ${}^{93}$Nb within 3-6.5 MeV/nucleon
• Unraveling the reaction mechanism for large alpha production and incomplete fusion in reactions involving weakly bound stable nuclei
• Fusion of ${}^7$Li with ${}^{205}$Tl at near barrier energies
• Theoretical analysis of ${}^8$Li + ${}^{208}$Pb reaction and the critical angular momentum for complete fusion
• Continuum-discretized coupled-channel calculations for ${}^6$Li fusion reactions with closed channels
• Semi-classical approaches to heavy-ion reactions: fusion, rainbow, and glory