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In the context of the cluster model applied to the nuclear reaction d þ 6Li at a laboratory energy of 171 MeV, the nucleus 6Li was examined within the framework of an a þ p þ n cluster model. The three-body model concept was incorporated into the interaction potential for the d þ 6Li system through the construction of a double-folding potential based on the three-body model. The computed double-folding potential was employed as the real component of the optical potential for analyzing the experimental differential cross-section of elastic scattering in the d þ 6Li nuclear reaction at 171 MeV laboratory energy. Meanwhile, the imaginary component was chosen as the Woods-Saxon potential. The parameters of the optical potential were adjusted to optimize agreement with experimental data. This study includes comparisons between the calculated semi-microscopic potential and a phenomenological potential, accomplished through differential cross-section analysis. Additionally, parameters of the potentials are presented in tabular form. The best agreement with experimental differential cross-sections was achieved using the computed folding potential, based on the three-body model, which clearly indicates the a þ p þ n cluster structure within the 6Li nucleus. [ABSTRACT FROM AUTHOR]