\begin{document}${J}/{\psi}$\end{document} production combined with the dipole amplitude in the target rapidity representation. We determined that virtuality takes effect on a number of hotspots, thus providing a better description of the \begin{document}${J}/\mathrm{\psi}$\end{document} production data at HERA. The collinear improved Balitsky-Kovchegove equation in the target rapidity representation is numerically solved and used to fit the \begin{document}${J}/\mathrm{\psi}$\end{document} experimental data with a series of hotspot sizes. We infer that virtuality significantly influences the number and size of hotspots. The expression \begin{document}$\chi^2/d.o.f=1.0183$\end{document} resulting from the fit with the collinear improved dipole amplitude in the target rapidity representation is more reasonable than the corresponding \begin{document}$\chi^2/d.o.f=1.3995$\end{document} originating from the leading order fit, which indicates that the collinear improved evolution equation in the target rapidity representation can provide a relatively good depiction of the exclusive and dissociative HERA data."> Exclusive and dissociative <i>J</i>/<i>ψ</i> production with collinear-improved Balitsky-Kovchegov equation -
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