Total Born cross section of $e^{+}{e}^{-}$-pair production in relativistic ion collisions from differential equations

Abstract

We apply the differential equation method to the calculation of the total Born cross section of the process $Z_1{Z}_2\to Z_1{Z}_2{e}^{+}{e}^{-}$. We obtain explicit expression for the cross section exact in the relative velocity of the nuclei.

5 pages, 2 figures, ancillary file MastersExpansion.m attached to submission

References in corpus (5)

• Multiloop integrals in dimensional regularization made simple
• The Physics of Ultraperipheral Collisions at the LHC
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Electromagnetic production of electron and positron in collisions of heavy nuclei

Cited by in corpus (4)

• Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
• Transforming differential equations of multi-loop Feynman integrals into canonical form
• Quadrupole radiation and $e^{+}{e}^{-}$ pair production in the collision of nonrelativistic nuclei
• Electron-positron pair production in ion collisions at low velocity beyond Born approximation