Theoretical analysis of 8Li + 208Pb reaction and the critical angular momentum for complete fusion
Abstract
In a theoretical approach, the complete and incomplete fusions are investigated by considering the 8Li +208 Pb reaction, within a three-body model where the projectile is described as n -7 Li with binding energy ɛb. By decreasing ɛb from its known experimental value, the complete fusion is shown to have no meaningful 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 Lc 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 Lc to the well-known critical value Lcrit derived by Wilczyński (1973) [28] suggests that the sum-rule model could be generalized to energies around and below the Coulomb barrier.
- Publication:
-
Nuclear Physics A
- Pub Date:
- April 2020
- DOI:
- 10.1016/j.nuclphysa.2020.121700
- arXiv:
- arXiv:1910.11978
- Bibcode:
- 2020NuPhA.99621700M
- Keywords:
-
- Nuclear fusion reactions;
- Cross sections;
- One-neutron halo nuclei;
- Lithium-8;
- Pb-208;
- Critical angular momentum;
- Nuclear Theory;
- Nuclear Experiment
- E-Print:
- 11 pages with 8 figures