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

TL;DR

This paper models inclusive alpha particle production in reactions involving $^6$He and $^{6,7}$Li, using a two-body cluster approach and DWBA calculations to interpret experimental data and identify breakup contributions.

Contribution

It introduces a detailed two-body cluster model with DWBA calculations to analyze inclusive breakup cross sections for halo and stable isotopes.

Findings

Good agreement with data for $^{6}$Li and $^{7}$Li reactions.

Complex interpretation needed for $^6$He reactions due to data challenges.

Inclusive breakup emissions are a significant contribution in all studied cases.

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 S\~ao 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.