Inclusive breakup cross sections in reactions induced by the nuclides He 6 and Li 6 , 7 in the two-body cluster model

Calculations of inclusive $\ensuremath{\alpha}$ particle production are performed to interpret reaction experimental data induced by the two-neutron halo $^{6}\mathrm{He}$ and the isotopes $^{6,7}\mathrm{Li}$ on different target nuclei. We have implemented the zero-range post-form distorted-wave Born approximation (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 $^{6}\mathrm{He}$ as $\ensuremath{\alpha}+\text{dineutron}$ and $^{6}\mathrm{Li}$ ($^{7}\mathrm{Li}$) are interpreted as $\ensuremath{\alpha}+\text{deuteron}$ (triton). The S\~ao Paulo optical potential is employed in the calculation of the distorted wave functions for the incident channels, while standard phenomenological interactions are taken for the fragment-target interactions. Calculations for $^{6}\mathrm{Li}$ and $^{7}\mathrm{Li}$ furnish a good description of the data, while the reaction involving $^{6}\mathrm{He}$ is found to be more complicated, where interpretation of the data must still be considered incomplete. The present analysis identifies an overall large contribution from inclusive breakup emission for all the cases studied.