In a theoretical approach, the complete and incomplete fusions are investigated by considering the 8 Li + 208 Pb reaction. By decreasing the projectile ground-state binding energy ε b from its known experimental value, the complete fusion is shown to have insignificant dependence on such variations, whereas the incomplete fusion strongly depends on that. The complete and incomplete fusion cross sections are calculated by using a combination of both continuum-discretized coupled-channel and sum-rule models. To this end, an incident-energy dependent cut-off angular momentum L c is first obtained by using the available complete fusion experimental data, within an approach which is extended to model results obtained for other incident-energies. An approximated fitted expression linking L c to the well-known critical value L crit derived by Wilczyński [Nucl. Phys. A 216 (1973) 386] suggests a generalization of the corresponding sum-rule model to energies around and below the Coulomb barrier.
We use the continuum discretized coupled channels method to study the 11Be+208Pb breakup reaction. We investigate the effects of the continuum–continuum couplings (ccc) on the breakup cross sections. We find that high partial waves strengthen the ccc. Using the breakup cross sections of this reaction, we analyze the penetrability of the Coulomb barrier and show that this penetrability is reduced when the ccc are included.
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