Exclusive and inclusive muon pair production in collisions of relativistic nuclei

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.

arXiv comment16 pages, 4 figures

References in corpus (8)

• Coherent gamma-gamma and gamma-A interactions in very peripheral collisions at relativistic ion colliders
• Large Coulomb corrections to the $e^{+}{e}^{-}$ pair production at relativistic heavy ion colliders
• Multiphoton Exchange Processes in Ultraperipheral Relativistic Heavy Ion Collisions
• Photon-Photon Luminosities in Relativistic Heavy Ion Collisions at LHC Energies
• Localized Beampipe Heating due to $e^{-}$ Capture and Nuclear Excitation in Heavy Ion Colliders
• Lepton pair production by a high energy photon in a strong electromagnetic field
• Structure of the Coulomb and unitarity corrections to the cross section of $e^{+}{e}^{-}$ pair production in ultra-relativistic nuclear collisions
• Multiple lepton pair production in relativistic ion collisions

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