Double-scattering mechanism in exclusive $AA\to AA{\rho }^0{\rho }^0$ reaction at ultrarelativistic collisions

Abstract

We calculate, for the first time, differential distributions for double ${\rho }^0$ meson production in exclusive ultraperipheral, ultrarelativistic collisions via a double scattering mechanism. The calculations are done in impact parameter space. The cross section for $\gamma A\to {\rho }^{0}A$ is parametrized based on an existing calculation. Smearing of ${\rho }^0$ masses is taken into account. The results of our calculations are compared at the RHIC energy to the contribution of the two-photon mechanism discussed previously in the literature. The cross section for the double scattering mechanism is found to be an order of magnitude larger at $M_{\rho \rho }<$ 2 GeV and more than two orders of magnitude at $M_{\rho \rho }>$ 3 GeV, than that for the photon-photon mechanism. Compared to the two-photon mechanism the double scattering mechanism populates somewhat larger ${\rho }^0{\rho }^0$ invariant masses and larger rapidity distances between the two ${\rho }^0$ mesons and gives a significant contribution to the $AA\to AA{\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ reaction. Some observables related to charged pions are presented too. We compare the results of our calculation with the STAR collaboration results on four charged pion production. While the shape in invariant mass of the four-pion system is very similar to the measured one, the predicted cross section constitutes only 20% of the measured one. We discuss a possibility of identifying the double scattering mechanism at the LHC.

18 pages, 12 figures, 1 table

References in corpus (6)

• The Physics of Ultraperipheral Collisions at the LHC
• J/Psi production in ultraperipheral Pb+Pb and p+Pb collisions at energies available at the CERN Large Hadron Collider
• Production of $c\bar{c}c\bar{c}$ in double-parton scattering within $k_t$-factorization approach -- meson-meson correlations
• Exclusive production of rho^0 rho^0 pairs in gamma-gamma collisions at RHIC
• Photoproduction of ${\rho }^0$ mesons in ultraperipheral heavy ion collisions at energies available at the BNL Relativistic Heavy Ion Collider (RHIC) and CERN Large Hadron Collider (LHC)
• ${\pi }^{+}{\pi }^{-}$ and ${\pi }^0{\pi }^0$ pair production in photon-photon and in ultraperipheral ultrarelativistic heavy ion collisions

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• Exclusive diffractive production of ${\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ via the intermediate $\sigma \sigma$ and $\rho \rho$ states in proton-proton collisions within tensor pomeron approach
• Double vector meson production in photon - hadron interactions at hadronic colliders
• Double scattering production of two positron-electron pairs in ultraperipheral heavy-ion collisions
• Single- and double-scattering production of four muons in ultraperipheral PbPb collisions at the Large Hadron Collider
• Ultra-peripheral Collisions at RHIC: An Experimental Overview
• New opportunities at the photon energy frontier
• Associated $\varphi$ and $J/\Psi$ photoproduction in ultraperipheral $PbPb$ collisions at the Large Hadron Collider and Future Circular Collider
• Probing Quantum Phenomena through Photoproduction in Relativistic Heavy-Ion Collisions
• Photoproduction of vector mesons: from ultraperipheral to semi-central heavy ion collisions