Halo nuclei shows unique structures that differ drastically from ordinary nuclear matter. Among these, 11Be is the most studied one and has gained great interest due to its well-established one-neutron halo structure and low neutron separation energy Sn = 0.501 MeV. In this study, the fusion reaction 11Be + 209Bi is investigated using the Multibody Three-stage Classical Molecular Dynamics (3S-CMD) model where 11Be is constructed as a cluster of tightly bound 10Be and one neutron where the separation between 10Be and neutron is adjusted to set the ion-ion potential between them equal to the experimental neutron separation energy. Complete fusion cross sections are calculated using Wong’s formula. At higher energies, the contributions from higher partial waves become significant and cannot be ignored. To account this, the CF cross-section is calculated for non-central collisions (b>0) at critical impact parameter (b = bcr). This calculations revel that fusion cross section for non-central collision at this critical impact parameter is enhanced.

Heavy-ion Collisions, Classical Molecular Dynamics, Halo nuclei, Fusion cross-sections, Weakly bound nuclei

The complete fusion (CF) cross-section, σCF, is significantly influenced by the rigidity constraints applied to both the target and the projectile. Using the multibody 3S-CMD model calculation for 11Be+209Bi reaction, the importance of incorporating various degrees of freedom in fusion cross section calculations is highlighted. Notably, the relaxation of the bond between the projectile core and the neutron results in a substantial enhancement of the fusion cross-section. However, to account for the contribution of higher partial waves, fusion cross section is calculated at critical impact parameter which shows further enhancement of complete fusion cross sections compared to fusion cross section calculated for central collision for both the cases. Over all, with the multibody 3S-CMD model we can understand role of different parameters, offering better understanding of the fusion dynamics

V.B. Katariya and P.H. Jariwala (2025). Fusion Cross Section for Non-central Collision in 11Be + 209Bi Reaction using Multi-body Three-Stage Classical Molecular Dynamics Approach. International Journal of Theoretical & Applied Sciences, 17(1): 75–79