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We make predictions for cross sections of $\rho$ and $\phi$ vector mesonphotoproduction in ultraperipheral Xe-Xe collisions at $\sqrt{s_{NN}}=5.44$TeV. Analyzing the momentum transfer distribution of $\rho$ mesons in thisprocess, we explore the feasibility of extracting the nuclear density of$^{129}$Xe, which is needed in searches for dark matter with Xenon-baseddetectors.

Photoproduction of light vector mesons in Xe-Xe ultraperipheral collisions at the LHC and the nuclear density of Xe-129