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Exclusive and inclusive muon pair production in collisions of relativistic nuclei
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abstract
The exclusive production of one $\mu^+\mu^-$ pair in collisions of two ultra-relativistic nuclei is considered. We present a simple method for the calculation of the Born cross section for this process based on an improved equivalent photon approximation. We find that the Coulomb corrections to this cross section (corresponding to multi-photon exchange of the produced $\mu^{\pm}$ with the nuclei) are small while the unitarity corrections (corresponding to the exchange of light-by-light blocks between nuclei) are large. This is in sharp contrast to the exclusive $e^+e^-$ pair production where the Coulomb corrections to the Born cross section are large while the unitarity corrections are small. We calculate also the cross section for the production of one $\mu^+\mu^-$ pair and several $e^+e^-$ pairs in the leading logarithmic approximation. Using this cross section we find that the inclusive production of $\mu^+\mu^-$ pair coincides in this approximation with its Born value.
Forward citations
Cited by 2 Pith papers
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Modelling Coincident Particle Production in Ultraperipheral Heavy Ion Collisions
A new SuperChic Monte Carlo implementation reproduces the ATLAS-observed rate and kinematic dependence of coincident rho meson and dimuon production in ultraperipheral PbPb collisions.
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Exclusive dimuon production and coherent charmonium photoproduction at forward rapidity in ultra-peripheral Pb$-$Pb collisions at $\mathbf{\sqrt{s_{\rm NN}}=5.36}$ TeV
ALICE reports new rapidity-differential cross sections for coherent J/ψ and ψ(2S) photoproduction and exclusive dimuons in forward rapidity UPC Pb-Pb collisions at 5.36 TeV, showing nuclear shadowing ratios of approxi...
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