In this study, the Continuum Discretized Coupled Channels (CDCC) method is employed to investigate the breakup dynamics of neutron- and proton-halo nuclei in reactions involving \(^{8}\) Be \(\rightarrow ^{7}\) Be+n and \(^{8}\) B \(\rightarrow ^{7}\) Be+p on light ( \(^{28}\) Si) and heavy ( \(^{120}\) Sn and \(^{236}\) U) targets. To ensure a consistent comparison, all systems are modeled with the same ground-state separation energy of \(S_{p,n}\) =0.137 MeV. The total, nuclear, and Coulomb breakup cross sections are analyzed with the inclusion of continuum-continuum couplings (CCC). The results show that neutron-halo breakup cross sections, particularly the total and nuclear components, are generally larger than those of the proton-halo system, especially at forward angles. The inclusion of continuum-continuum couplings leads to a noticeable suppression of the total and nuclear breakup cross sections, most prominently in the proton-halo case, while the Coulomb breakup cross section remains relatively unaffected. In addition, differential elastic scattering cross sections are calculated and compared with available experimental data for the \(^{7}\) Be+ \(^{28}\) Si and \(^{8}\) B+ \(^{120}\) Sn systems, showing good agreement and confirming the reliability of the adopted model.
