The lepton pair production in heavy ion collisions in perturbation theory

Abstract

We derive the first terms in the amplitude of lepton pair production in the Coulomb fields of two relativistic heavy ions. Using the Sudakov technique, which very simplify the calculations in momentum space for the processes at high energies, we get the compact analytical expressions for differential cross section of the process under consideration in the lowest order in fine structure constant (Born approximation) valid for any momentum transfer and in a wide kinematics region for produced particles. Exploiting the same technique we consider the next terms of perturbation series (up to fourth order in fine structure constant) and investigate their energy dependence and limiting cases. It has been shown that taking in account all relevant terms in corresponding order one obtains the expressions which are gauge invariant and finite. We estimate the contribution of the Coulomb corrections to the total cross section and discuss the cancellations of the different terms which holds in the total cross section.

LaTeX2e, 18 pages, 4 eps figures

References in corpus (4)

• 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
• Coulomb corrections and multiple e+e- pair production in ultra-relativistic nuclear collisions
• Multiple lepton pair production in relativistic ion collisions

Cited by in corpus (13)

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• Double scattering production of two positron-electron pairs in ultraperipheral heavy-ion collisions
• Nonlinear pair production in scattering of photons on ultra-short laser pulses at high energy
• Photoproduction of relativistic QED bound states in hadronic collisions
• Lepton pair production in relativistic ion collisions to all orders in $Z\alpha$ with logarithmic accuracy
• Multiple exchanges in lepton pair production in high--energy heavy ion collisions
• Enhancement of low-mass dileptons in ultraperipheral collisions
• Multi-photon interactions in lepton photo-production on nuclei at high energies
• Coulomb corrections to photon and dilepton production in high energy pA collisions
• Production of $e^{+}{e}^{-}$ in proton-lead collision: photon-photon fusion
• Process 3 -> 3 and crossing symmetry violation