Nuclear shadowing in photoproduction of $\rho$ mesons in ultraperipheral nucleus collisions at RHIC and the LHC

Abstract

We argue that with an increase of the collision energy, elastic photoproduction of $\rho$ mesons on nuclei becomes affected by the significant cross section of photon inelastic diffraction into large masses, which results in the sizable inelastic nuclear shadowing correction to ${\sigma }_{\gamma A\to \rho A}$ and the reduced effective $\rho$-nucleon cross section. We take these effects into account by combining the vector meson dominance model, which we upgrade to include the contribution of high-mass fluctuations of the photon according to QCD constraints, and the Gribov-Glauber approximation for nuclear shadowing, where the inelastic nuclear shadowing is included by means of cross section fluctuations. The resulting approach allows us to successfully describe the data on elastic $\rho$ photoproduction on nuclei in heavy ion UPCs in the $7\mathrm{GeV}<W_{\gamma p}<46$ GeV energy range and to predict the value of the cross section of coherent $\rho$ photoproduction in Pb-Pb UPCs at $\sqrt{s_{NN}}=5.02$ TeV in Run 2 at the LHC, $d{\sigma }_{PbPb\to \rho PbPb}(y=0)/dy=560\pm 25$ mb.

19 pages, 6 figures

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