Complete and incomplete fusion cross-sections for ⁷Li+¹¹⁹Sn reaction across the Coulomb barrier

In reference to complete (CF) and incomplete fusion (ICF) processes, the analysis of ⁷Li + ¹⁹Sn reaction forming ¹²⁶I compound nucleus (CN) is done at incident energies spread across the Coulomb barrier. Initially, the total fusion (TF) cross-sections are calculated using the Wong formula. Since, it overestimate the experimental data, so ℓ-summed Wong approach is used to address the TF cross-section, which limits the contribution of partial waves to ℓ_max value. Within both approaches, the energy dependent function is used to separate out the contributions of CF and ICF cross-sections from the TF cross-sections. The phenomenological energy function seems to give adequate distribution of CF and ICF cross-sections, particularly for ℓ-summed Wong model. Also, an attempt is made to distinguish the CF and ICF on the basis of excitation energy and angular momentum bins. The incident energy of ⁷Li beam (⁷Li → ⁴He + ³H) is distributed among alpha and tritium fragments, and the fusion cross-sections of ³H + ¹¹⁹Sn reaction are estimated using the ℓ-summed Wong model. Also, CF and ICF contributions are estimated in view of ℓ-windows assigned for CF (ℓ =0 to ℓ_critical) and ICF (ℓ_critical-ℓ_max) components. (author)