Abstract
We investigate the exclusive photoproduction of $J/\psi$-mesons in ultraperipheral heavy ion collisions in the color dipole approach. We first test a number of dipole cross sections fitted to inclusive $F_2$-data against the total cross section of exclusive $J/\psi$-production on the free nucleon. We then use the color-dipole formulation of Glauber-Gribov theory to calculate the diffractive amplitude on the nuclear target. The real part of the free nucleon amplitude is taken into account consistent with the rules of Glauber theory. We compare our results to recent published and preliminary data on exclusive $J/\psi$ corrections in ultraperipheral lead-lead collisions at $\sqrt{s_{NN}}=2.76 \, \rm{TeV}$ and $\sqrt{s_{NN}} = 5.02 \, \rm{TeV}$. Especially at high $\gamma A$ energies there is room for additional shadowing corrections, corresponding to triple-Pomeron terms or shadowing from large mass diffraction.
Highlights
Following the early theoretical work [1] and the recent measurements [2,3,4,5,6], there has been recently much interest in the coherent exclusive production of vector mesons in ultraperipheral heavy-ion collisions at the Large Hadron Collider (LHC)
The production of vector mesons composed of heavy quarks, such as the J/ψ is of special interest and the exclusive production of J/ψ in ultraperipheral heavy-ion collisions has been investigated using a number of different theoretical approaches [8,9,10,11,12,13,14,15,16,17,18]
II, we review the formalism and main formulas for diffractive vector meson production on nucleons and nuclei in the color dipole approach
Summary
Following the early theoretical work [1] and the recent measurements [2,3,4,5,6] (see the review [7]), there has been recently much interest in the coherent exclusive production of vector mesons in ultraperipheral heavy-ion collisions at the Large Hadron Collider (LHC). The production of vector mesons composed of heavy quarks, such as the J/ψ is of special interest and the exclusive production of J/ψ in ultraperipheral heavy-ion collisions has been investigated using a number of different theoretical approaches [8,9,10,11,12,13,14,15,16,17,18].
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