Abstract: Due to the limits of the intensity and quality of the radioactive ion beams, it is difficult to extract the reliable optical potentials of halo nuclei directly from elastic scattering measurements. Therefore, it is still a challenging task to study the properties of the optical potentials of halo nuclear systems. The optical potentials of ⁶He halo nuclear systems were extracted by measuring the transfer reactions with stable beams. The angular distributions of elastic scattering and one-proton transfer reactions of ⁷Li+⁶³Cu and ²⁰⁸Pb were measured at energies around the Coulomb barrier. The optical potentials of ⁶He+⁶⁴Zn and ²⁰⁹Bi systems in the exit channel were extracted by fitting the transfer reaction data with the distorted-wave Born approximation (DWBA) and coupled reaction channels (CRC) methods, respectively. The derived potential parameters can reproduce the existing experimental elastic scattering data at the corresponding energies, which verifies the validity of the transfer reaction method. According to the energy dependence of the optical potentials, it’s found that the dispersion relation, which is based on the causality principle, is not applicable for the ⁶He+²⁰⁹Bi system. The possible explanations for such a peculiar behavior were discussed, but further study is still desired for the underlying physics.