Lepton pair production in relativistic ion collisions to all orders in $Z\alpha$ with logarithmic accuracy

Abstract

The problem of summation of the perturbation series for the process of lepton pair production in relativistic ion collisions is investigated. We show that the amplitude of this process can be obtained in the compact analytical form, if one confines to the terms growing as a powers of logarithm energy in the cross section, the approximation of which is completely justified for such colliders as RHIC and LHC. Using this result we calculate the Coulomb corrections to the cross section of the process under consideration.

arXiv comment11 pages, 3 figures

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Cited by in corpus (6)

• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Double scattering production of two positron-electron pairs in ultraperipheral heavy-ion collisions
• Ultraperipheral nuclear interactions
• Multiple exchanges in lepton pair production in high--energy heavy ion collisions
• Strong suppression of Coulomb corrections to the cross section of e+e- pair production in ultrarelativistic nuclear collisions
• Ultraperipheral vs ordinary nuclear interactions