Multiple lepton pair production in relativistic ion collisions

Abstract

We apply the Sudakov technique to description of the multiple production of lepton pairs in peripheral collisions of ultrarelativistic heavy ions. For heavy ions with $Z_1\alpha \sim Z_2\alpha \ll 1$ one needs a careful treatment of the multiple Coulomb exchange between colliding ions and screening effects, whereas interaction of real or virtual lepton pairs with colliding ions can be neglected. We demonstrate that while the inclusive spectra are modified by multiple Coulomb exchange between the colliding ions, the Coulomb corrections to the momentum integrated multiplicity distributions do vanish. After transformation to the impact parameter representation the probability of $n$ lepton pair production is shown to obey the Poisson distribution. The relevant cross section is obtained.

LaTeX2e, 12 pages, 3 eps figures

References in corpus (1)

• Structure of the Coulomb and unitarity corrections to the cross section of $e^{+}{e}^{-}$ pair production in ultra-relativistic nuclear collisions

Cited by in corpus (12)

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• The lepton pair production in heavy ion collisions in perturbation theory
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• Multiple exchanges in lepton pair production in high--energy heavy ion collisions
• Electromagnetic interaction of low transverse momentum electrons and positrons with heavy nuclei in ultra-peripheral ultra-relativistic heavy-ion collisions
• Process 3 -> 3 and crossing symmetry violation
• Testing the RRPP vertex of effective Regge action