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The differential cross-section as a function of rapidity has been measuredfor the exclusive production of $J/\psi$ and $\psi(2S)$ mesons in proton-protoncollisions at $\sqrt{s}=7$ TeV, using data collected by the LHCb experiment,corresponding to an integrated luminosity of 930 pb$^{-1}$. The cross-sectionstimes branching fractions to two muons having pseudorapidities between 2.0 and4.5 are measured to be $$\begin{array}{rl} \sigma_{pp\rightarrowJ/\psi\rightarrow{\mu^+}{\mu^-}}(2.0<\eta_{\mu^\pm }<4.5)=&291\pm 7\pm19 {\rm \pb},\\\sigma_{pp\rightarrow\psi(2S)\rightarrow{\mu^+}{\mu^-}}(2.0<\eta_{\mu^\pm}<4.5)=&6.5\pm0.9\pm 0.4 {\rm \ pb},\end{array}$$ where the first uncertainty is statisticaland the second is systematic. The measurements agree with next-to-leading orderQCD predictions as well as with models that include saturation effects.

Updated measurements of exclusive $J/\psi$ and $\psi(2S)$ production cross-sections in $pp$ collisions at $\sqrt{s}=7$ TeV