  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.
