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.

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