Large Coulomb corrections to the $e^{+}{e}^{-}$ pair production at relativistic heavy ion colliders

Abstract

We consider the Coulomb correction (CC) to the $e^{+}{e}^{-}$ pair production related to multiphoton exchange of the produced $e^{\pm }$ with nuclei. The contribution of CC to the energy distribution of $e^{+}$ and $e^{-}$ as well as to the total pair production cross section are calculated with an accuracy of the order of 1%. The found correction to the total Born cross section is negative and equal to -25% at the RHIC for Au--Au and -14% at the LHC for Pb--Pb collisions.

4 pages, 2 figures, REVTEX, some changes in presentation, discussion on structure of amplitude added, references updated

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