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The cross sections for exclusive muon pair production in nucleus - nucleuscollisions are calculated and several differential distributions are shown.Realistic (Fourier transform of charge density) charge form factors of nucleiare used and the corresponding results are compared with the cross sectionscalculated with monopole form factor often used in the literature and discussedrecently in the context of higher-order QED corrections. Absorption effects arediscussed and quantified. The cross sections obtained with realistic formfactors are significantly smaller than those obtained with the monopole formfactor. The effect is bigger for large muon rapidities and/or large muontransverse momenta. The predictions for the STAR and PHENIX collaborationmeasurements at RHIC as well as the ALICE and CMS collaborations at LHC arepresented.

Exclusive muon-pair productions in ultrarelativistic heavy-ion collisions: Realistic nucleus charge form factor and differential distributions