A microscopic framework that combines the Hartree-Fock-Bogoliubov (HFB) approach with the fusion by diffusion model is proposed to investigate the synthesis mechanism of superheavy nuclei (SHN). For the reaction ${}^{48}\mathrm{Ca}+{}^{208}\mathrm{Pb}$, the calculated evaporation-residue cross section reproduces the experimental data reasonably well. The method enables self-consistent extraction of the fusion injection point and inner barrier from HFB potential-energy surfaces (PES), thereby incorporating nuclear structure effects while eliminating phenomenological tuning at the fusion stage. For cold-fusion reactions, the PES features a hyperasymmetric valley driven by shell effects. This ${}^{208}\mathrm{Pb}$ anchored valley connects the entrance channel to compound nucleus formation and provides an exit channel for cluster decay. We further investigate the cold-fusion reactions ${}^{54}\mathrm{Cr}+{}^{208}\mathrm{Pb}$ and ${}^{58}\mathrm{Fe}+{}^{208}\mathrm{Pb}$, obtaining a near-exponential decrease of $P_{\text{CN}}$ with compound nucleus charge $Z$, consistent with established systematics. This approach demonstrates a self-consistent framework that can reduce uncertainties in the fusion stage of SHN production.

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• Fusion evaporation reactions
• Low & intermediate energy heavy-ion reactions
• Nuclear reactions
• Synthesis of new superheavy elements
• Nuclear density functional theory