CONVERGENCE OF BOUND-ELECTRON-POSITRON PAIR PRODUCTION CALCULATIONS FOR RELATIVISTIC HEAVY-ION COLLISIONS

Large-basis coupled-channel Dirac-equation calculations of bound-electronpositron pair production in relativistic heavy-ion collisions are presented. The relative importance of the enhancement of the coupled-channel calculations over corresponding calculations performed in perturbation theory is shown to decrease with increasing basis size, indicating a systematic reduction of this effect of nonperturbative enhancement with improving convergence of the calculations. The total nonperturbative enhancement of the cross section is shown to be about 7 b for Pb82+ on Pb82+ at the Brookhaven Relativistic Heavy-Ion Collider, only some 6% over perturbation theory. © 1994 The American Physical Society.