Quasi-elastic scattering angular distributions for the \(^{10,11}\) B+ \(^{232}\) Th systems have been measured over a broad range of bombarding energies spanning from below to above the Coulomb barrier. The experimental data were analyzed within the optical-model framework using the density-dependent double-folding São Paulo potential (SPP), in contrast to the phenomenological Woods–Saxon approach employed in earlier studies of these systems. The extracted energy-dependent normalization parameters \(N_R\) and \(N_I\) of the real and imaginary parts of the SPP exhibit the characteristic behavior of the threshold anomaly, consistent with the tightly bound nature of both \(^{10}\) B and \(^{11}\) B projectiles. A dispersion-relation analysis shows that the extracted real and imaginary potentials are mutually consistent near the Coulomb barrier, supporting the occurrence of threshold anomaly in both systems within the SPP framework. Total reaction cross sections were deduced from the optical-model fits to the quasi-elastic angular distributions. A comparative analysis reveals an enhancement of the reaction cross section for the \(^{10}\) B+ \(^{232}\) Th system relative to the \(^{11}\) B+ \(^{232}\) Th system at sub-barrier energies. This behavior is attributed to the lower breakup threshold energy of \(^{10}\) B (4.46 MeV) compared to \(^{11}\) B (8.66 MeV), leading to stronger coupling effects near the barrier. A comparison with earlier measurements for the \(^{6,7}\) Li+ \(^{232}\) Th systems reveals a systematic increase in reduced reaction cross sections with decreasing breakup threshold energy, indicating a strong correlation between projectile breakup properties and near-barrier reaction dynamics.
