Calculation of Higher Order Effects in Electron-Positron Pair Production in Relativistic Heavy Ion Collisions

Abstract

We present a calculation of higher order effects for the impact parameter dependent probability for single and multiple electron-positron pairs in (peripheral) relativistic heavy ion collisions. Also total cross sections are given for SPS and RHIC energies. We make use of the expression derived recently by several groups where the summation of all higher orders can be done analytically in the high energy limit. An astonishing result is that the cross section, that is, integrating over all impact parameters, is found to be identical to the lowest-order Born result for symmetric collisions. For the probability itself on the other hand we find rather large effects at small impact parameters compared to the lowest order results, which translate to large effects for the cross section for multiple pair production.

9 pages, 4 figures

References in corpus (5)

• Exact Dirac equation calculation of ionization and pair production induced by ultrarelativistic heavy ions
• Two Center Light Cone Calculation of Pair Production Induced by Ultrarelativistic Heavy Ions
• A light-fronts approach to electron-positron pair production in ultrarelativistic heavy-ion collisions
• Coulomb Effects on Electromagnetic Pair Production in Ultrarelativistic Heavy-Ion Collisions
• Electron Propagation in the Field of Colliding Nuclei at Ultrarelativistic Energies

Cited by in corpus (14)

• The Physics of Ultraperipheral Collisions at the LHC
• Coherent gamma-gamma and gamma-A interactions in very peripheral collisions at relativistic ion colliders
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Coulomb corrections to $e^{+}{e}^{-}$ production in ultra-relativistic nuclear collisions
• Structure of the Coulomb and unitarity corrections to the cross section of $e^{+}{e}^{-}$ pair production in ultra-relativistic nuclear collisions
• Evidence for higher order QED in e+ e- pair production at RHIC
• Discovery of higher order QED effect for the vacuum pair production
• Higher Order QED Calculation of Ultrarelativistic Heavy Ion Production of mu+ mu- Pairs
• 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
• Strong suppression of Coulomb corrections to the cross section of e+e- pair production in ultrarelativistic nuclear collisions
• e+e- pair production in ultrarelativistic heavy-ion collisions at intermediate impact parameters
• Simultaneous Production of Lepton Pairs at Ultra-peripheral Relativistic Heavy Ion Collisions
• Coherent electromagnetic heavy ion reactions: (1) exact treatment of pair production and ionization; (2) mutual Coulomb dissociation