The experimental differential cross-section (CS) and analyzing power (AP) data of the ${}^6\mathrm{Li}+{}^{12}\mathrm{C}$ elastic scattering over a wide laboratory energy scale ($4.5\mathrm{MeV}\le E_{\text{lab}}\le 600\mathrm{MeV}$) are analyzed within the framework of the optical model (OPM) using nonmonotonic (NM) nucleus–nucleus potentials. The real part of the NM potentials is derived from the Pauli-embodied energy density-functional (EDF) formalism with the sudden approximation. The real part of the noncentral spin-orbit and tensor terms, as well as the imaginary parts, are treated phenomenologically. The effect of the radius of sensitivity on the CS and AP data is found to be more important at lower energies. The diffractive and refractive scattering with Airy structures in the whole angular region of the elastic scattering across the studied energy range is successfully described within the OPM using the NM ${}^6\mathrm{Li}+{}^{12}\mathrm{C}$ potential. The near- and far-side (N and F) decomposition of the total elastic-scattering amplitudes has also been studied using our NM potentials. The evolution of the Airy minima in the angular distributions, coupled with the fitting of the AP data, provides an accurate description of Airy minima of different orders. The OPM calculations with the NM potentials describe exceptionally well the CS, vector analyzing power (VAP), and tensor analyzing power data at $E_{\text{lab}}=9.0,19.24,20,30,$ and $50\mathrm{MeV}$. In agreement with our previous successful descriptions of CS and the opposite signs of the VAP data for the ${}^6\mathrm{Li}$ and ${}^7\mathrm{Li}$ elastic scattering using NM potentials in OPM, the present results appear to provide a better fit, so far, than those obtained from the coupled-channels method. The fusion cross sections of ${}^6\mathrm{Li}+{}^{12}\mathrm{C}$ have been predicted in the energy range ($4.5\mathrm{MeV}\le E_{\text{lab}}\le 20\mathrm{MeV}$), fitting the experimental data well in the range $E_{\text{lab}}=2.97–11.77\mathrm{MeV}$. The EDF potential without any energy dependence and renormalization is also found to describe satisfactorily the experimental CS and AP data at energies up to several hundreds of MeV.

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• Elastic scattering reactions
• Nuclear density functional theory
• Nuclear forces
• Nuclear reactions
• Polarization phenomena
• 6 ≤ A ≤ 19