\begin{document}$ J/\psi $\end{document} production at very low transverse momenta were recently observed by the ALICE and STAR collaborations in peripheral hadronic A+A collisions. The anomalous excess points to coherent photon-nucleus interactions in violent hadronic heavy-ion collisions, which were conventionally studied only in ultra-peripheral collisions. Assuming that the coherent photoproduction is the underlying mechanism responsible for the excess observed in peripheral A+A collisions, its contribution in p+p collisions with nuclear overlap, i.e. non-single-diffractive collisions, is of particular interest. In this paper, we perform a calculation of exclusive \begin{document}$ J/\psi $\end{document} photoproduction in non-single-diffractive p+p collisions at the RHIC and LHC energies based on the pQCD motivated parametrization using the world-wide experimental data, which could be further employed to improve the precision of the phenomenological calculations for photoproduction in A+A collisions. The differential rapidity and transverse momentum distributions of \begin{document}$ J/\psi $\end{document} from photoproduction are presented. In comparison with the \begin{document}$ J/\psi $\end{document} production from hadronic interactions, we find that the contribution of photoproduction is negligible."> Photoproduction of <inline-formula><tex-math id="M1">\begin{document}$ {{J/\psi}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/9b0f2dc3-b923-4cd2-a9e0-a5adbbcbe335/CPC-2018-0382_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/9b0f2dc3-b923-4cd2-a9e0-a5adbbcbe335/CPC-2018-0382_M1.png"/></alternatives></inline-formula> in non-single-diffractive p+p collisions -
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