A light-fronts approach to electron-positron pair production in ultrarelativistic heavy-ion collisions

Abstract

We perform a gauge-transformation on the time-dependent Dirac equation describing the evolution of an electron in a heavy-ion collision to remove the explicit dependence on the long-range part of the interaction. We solve, in an ultra-relativistic limit, the gauged-transformed Dirac equation using light-front variables and a light-fronts representation, obtaining non-perturbative results for the free pair-creation amplitudes in the collider frame. Our result reproduces the result of second-order perturbation theory in the small charge limit while non-perturbative effects arise for realistic charges of the ions.

39 pages, Revtex, 7 figures, submitted to PRA

References in corpus (1)

• Exact Dirac equation calculation of ionization and pair production induced by ultrarelativistic heavy ions

Cited by in corpus (32)

• The Physics of Ultraperipheral Collisions at the LHC
• Physics of Ultra-Peripheral Nuclear Collisions
• Coherent gamma-gamma and gamma-A interactions in very peripheral collisions at relativistic ion colliders
• Photon-Photon Physics in Very Peripheral Collisions of Relativistic Heavy Ions
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Two Center Light Cone Calculation of Pair Production Induced by Ultrarelativistic Heavy Ions
• Coulomb corrections to $e^{+}{e}^{-}$ production in ultra-relativistic nuclear collisions
• Large Coulomb corrections to the $e^{+}{e}^{-}$ pair production at relativistic heavy ion colliders
• Impact parameter dependence of the azimuthal asymmetry in lepton pair production in heavy ion collisions
• On the nature of Coulomb corrections to the e^+e^- pair production in ultrarelativistic heavy-ion collisions
• Coulomb Effects on Electromagnetic Pair Production in Ultrarelativistic Heavy-Ion Collisions
• Structure of the Coulomb and unitarity corrections to the cross section of $e^{+}{e}^{-}$ pair production in ultra-relativistic nuclear collisions
• Exact $Z^2$ scaling of pair production in the high-energy limit of heavy-ion collisions
• Calculation of Higher Order Effects in Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Evidence for higher order QED in e+ e- pair production at RHIC
• Coulomb corrections and multiple e+e- pair production in ultra-relativistic nuclear collisions
• Double scattering production of two positron-electron pairs in ultraperipheral heavy-ion collisions
• Revisiting unitarity corrections for electromagnetic processes in collisions of relativistic nuclei
• Coulomb corrections in the calculation of ultrarelativistic heavy ion production of continuum e+ e- pairs
• Asymptotic channels and gauge transformations of the time-dependent Dirac equation for extremely relativistic heavy-ion collisions
• Studying Coulomb correction at EIC and EicC
• Higher Order QED Calculation of Ultrarelativistic Heavy Ion Production of mu+ mu- Pairs
• Photoproduction of relativistic QED bound states in hadronic collisions
• 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
• 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
• e+e- pair production in ultrarelativistic heavy-ion collisions at intermediate impact parameters
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions
• Integrated cross sections of high-energy $e^{+}{e}^{-}$ electroproduction by an electron in an atomic field
• Photon Exchange in Nucleus-Nucleus Collisions