Inclusive Breakup Cross Sections in Reactions Induced by the Nuclides ${}^6$He and ${}^{6,7}$Li in the Two-Body Cluster Model

Abstract

Calculations of inclusive $\alpha$ particle production are performed to interpret reaction experimental data induced by the two-neutron halo ${}^6$He and the isotopes ${}^{6,7}$Li on different target nuclei. We have implemented the zero-range post-form DWBA to compute the elastic and nonelastic breakup cross sections. Integrated cross sections, angular distributions and spectra are presented. Projectiles are approximated as two-body clusters, namely ${}^6$He as $\alpha$+dineutron and ${}^6$Li (${}^7$Li) interpreted as $\alpha$+deuteron(triton). The São Paulo optical potential is employed in the calculation of the distorted wave functions for the incident channels, while standard phenomenological interactions are used for the fragment-target interactions. Calculations for ${}^6$Li and ${}^7$Li furnish a good description of the data, while the reaction involving ${}^6$He is found to be a complicated case, where data interpretation is still considered a major obstacle. The present analysis identifies an overall large contribution from inclusive breakup emissions for all the cases studied.

Comments: 12 pages, 12 figures