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The effect of the breakup channel on the fusion reaction of weakly bound systems by means of a quantum mechanical approach has been discussed. The total fusion reaction cross-section σfus, the fusion barrier distribution Dfus and the mean angular momentum ⟨L⟩ for the systems He+ Zn, He+ Bi, B+ Ni and Be+ U have been calculated. The inclusion of the breakup channel is found to be very essential in the calculations of the fusion reaction for systems involving light halo nuclei especially below the Coulomb barrier Vb. The results of the calculations of σfus, Dfus and ⟨L⟩ agrees quite well with the corresponding experimental data. K e yw o r d s: fusion cross-section, fusion barrier distribution, quantum mechanical approach, breakup channel.

Quantum Mechanical Calculations of a Fusion Reaction for Some Selected Halo Systems