Double scattering production of two $ρ^0$ mesons in UPC

We review our recent results for double-scattering mechanism in the exclusive $AA \to AA ρ^0ρ^0$ reaction in ultrarelativistic ultraperipheral heavy ion collisions. The cross section for single and double-$ρ^0$ production is calculated in the impact parameter space equivalent photon approximation. We compare the results of our calculation with the STAR and ALICE Collaboration results on one $ρ^0(770)$ meson and four-charged-pion production.

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