Complete and incomplete fusion cross-sections for 7Li+119Sn reaction using different approaches

Abstract

In reference to complete fusion (CF) and incomplete fusion (ICF) processes, the analysis of ⁷Li+¹¹⁹Sn reaction forming ¹²⁶I compound nucleus (CN) is carried out at incident energies spread across the Coulomb barrier. Firstly, the total fusion (TF) cross-sections are calculated using the Wong formula. Since, it overestimates the experimental data, so ℓ-summed Wong approach is employed to address the TF cross-section, which limits the contribution of partial waves up to ℓ _max value. Within ℓ-summed Wong model, the energy dependent selection function is used to separate out the contributions of CF and ICF from the TF cross-sections. This phenomenological selection function seems to give adequate distribution of CF and ICF cross-sections at higher energies. Beside this, the CF and ICF contributions are also separated out on the basis of angular momentum window and by using the energy correction formula. In the angular momentum distribution case, CF and ICF cross-sections are estimated in view of ℓ-windows, 0≤ℓ<ℓ_critical(for CF) and ℓ_critical≤ ℓ ≤ℓ_max(For ICF). Finally, in energy normalization case, the incident energy of ⁷Li beam (⁷Li→⁴He + ³H) is distributed among alpha and tritium fragments, and the ICF cross-sections for ³H+¹¹⁹Sn ICF channel are estimated using the ℓ-summed Wong model.