Strong suppression of Coulomb corrections to the cross section of e+e- pair production in ultrarelativistic nuclear collisions

Abstract

The Coulomb corrections to the cross section of $e^{+}{e}^{-}$ pair production in ultrarelativistic nuclear collisions are calculated in the next-to-leading approximation with respect to the parameter $L=\ln {\gamma }_A{\gamma }_B$ (${\gamma }_{A,B}$ are the Lorentz factors of colliding nuclei). We found considerable reduction of the Coulomb corrections even for large ${\gamma }_A{\gamma }_B$ due to the suppression of the production of $e^{+}{e}^{-}$ pair with the total energy of the order of a few electron masses in the rest frame of one of the nuclei. Our result explains why the deviation from the Born result were not observed in the experiment at SPS.

4 pages, RevTeX

References in corpus (8)

• The Physics of Ultraperipheral Collisions at the LHC
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Production of QED pairs at small impact parameter in relativistic heavy ion collisions
• High-energy expansion of Coulomb corrections to the e+e- photoproduction cross section
• Revisiting unitarity corrections for electromagnetic processes in collisions of relativistic nuclei
• Impact parameter dependence of heavy ion e+ e- pair production to all orders in Z alpha
• Calculation of heavy ion e+ e- pair production to all orders in Z alpha
• Lepton pair production in relativistic ion collisions to all orders in $Z\alpha$ with logarithmic accuracy

Cited by in corpus (4)

• Report on Progress in Physics: Observation of the Breit-Wheeler Process and Vacuum Birefringence in Heavy-Ion Collisions
• Energy Dependence of the Breit-Wheeler process in Heavy-Ion Collisions and its Application to Nuclear Charge Radius Measurements
• Bound-free pair production in relativistic nuclear collisions from the NICA to the HE LHC colliders
• Integrated cross sections of high-energy $e^{+}{e}^{-}$ electroproduction by an electron in an atomic field