Motivated by recent experimental developments, the Pomeron constituent quark model (Pom-CQM) of the $\gamma +N\to J/\psi +N$ reaction of Lee et al. [Eur. Phys. J. A 58, 252 (2022)] and Sakinah et al. [Phys. Rev. C 109, 065204 (2024)] is applied to predict the exclusive $J/\psi$ photoproduction on nuclei $\left(A\right)$. Within the multiple scattering theory, the calculations are performed by including the impulse amplitude $T_{J/\psi A,\gamma A}^{\mathrm{IMP}}$ and the $J/\psi$-nucleus final state interaction (FSI) amplitude $T_{J/\psi A,\gamma A}^{\mathrm{FSI}}$. For the deuteron target, $T_{J/\psi d,\gamma d}^{\mathrm{IMP}}$ is calculated exactly using the wave function generated from the realistic nucleon-nucleon potentials. It is found that, near the threshold region, the $J/\psi$ photoproduction cross sections depend sensitively on the $d$ state of the deuteron wave function. The FSI amplitude $T_{J/\psi A,\gamma A}^{\mathrm{FSI}}$ is calculated using the first-order optical potential constructed from the $J/\psi \text{−}N$ scattering amplitude generated from the employed Pom-CQM. It turns out that the FSI has significant effects in the large momentum-transfer region. By using the conventional fixed scatter approximation (FSA) and the nuclear form factors from the variational Monte Carlo (VMC) calculations of Lonardoni et al. [Phys. Rev. C 96, 024326 (2017)], the cross sections of the $J/\psi$ photo production on ${}^4\mathrm{He}$, ${}^{16}\mathrm{O}$, and ${}^{40}\mathrm{Ca}$ are also predicted for future experimental investigations at Jefferson Lab and the Electron-Ion Collider.

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• Elastic scattering reactions
• Lepton induced nuclear reactions
• Nuclear reactions
• A ≤ 5
• Optical, coupled-channel & distorted wave models