K. Hencken et al., Calculation of higher-order effects in electron-positron pair production in relativistic heavy ion collisions, PHYS REV C, 59(2), 1999, pp. 841-844
We present a calculation of higher order effects for the impact-parameter-d
ependent probability for single and multiple electron-positron pairs in (pe
ripheral) relativistic heavy ion collisions. Also total cross sections are
given for SPS and RHIC energies. We make use of the expression derived rece
ntly 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 c
ross 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 transla
te to large effects for the cross section for multiple pair production. [S0
556-2813(99)06302-5].