In the investigation of exploring the “island of stability” and its superheavy elements, scientists have regularly synthesized new elements to the periodic table. This article is a consistent and systematical study performed for the synthesis of $Z=126$ via two incoming channels, i.e., ${}^{60}\mathrm{Fe}+{}^{250}\mathrm{Fm}$ and ${}^{64}\mathrm{Ni}+{}^{249}\mathrm{Cf}$. This work establishes a test bench to check the compatibility for the synthesis of $Z=126$ via two incoming channels within the framework of the dynamical cluster-decay model (DCM). Element 126, also known as unbihexium, is a hypothetical chemical element. This element is thought to be a possible member of the island of stability, where some nuclei are predicted to have increased stability. It is proposed to be stable for its size, possibly due to the island-of-stability effect. This article is the extension of the previous study of $Z=120$ [S. Chopra and P. O. Hess, Phys. Rev. C 110, 014615 (2024)]. The focal point of this work is to compare the cross sections of both reactions in order to understand their compatibility. In the process of compound nucleus formation, two heavy nuclei touch and engage in strong competition with the fission and quasifission processes. This study is absolutely contingent on the ideas taken from the previously studied superheavy elements using the dynamical cluster-decay model. In this study, we include the deformation effects up to hexadecupole (${\beta }_{4i}$) and with compact orientations ${\theta }_i$ for non-coplanar degrees of freedom. The only parameter of the model is the neck-length parameter, which varies smoothly with the temperature of the compound nucleus, and its value remains within the range of validity ($\sim 2\mathrm{fm}$) of the proximity potential. We extend the DCM calculations to three energies, i.e., $E^{*}=37$, 40, and 43 MeV. Two different sets of $\mathrm{\Delta }R\text{'}\mathrm{s}$ are adjusted to the observed data for ${\sigma }_{\mathrm{ER}}$ and ${\sigma }_{\mathrm{ff}}$ for Ni- and Fe-induced reactions.

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• Low & intermediate energy heavy-ion reactions
• Models & methods for nuclear reactions
• Nuclear reactions
• Synthesis of new superheavy elements
• A ≥ 220
• Cluster models