Abstract
We present calculations of the electron pair production cross sections in relativistic heavy-ion collisions. The electron pairs arise from the decay of vacuum excitations induced by the very strong and sharply pulsed electromagnetic fields near nuclei which collide at relativistic velocities. We present an exact Monte Carlo evaluation of the two-photon terms describing this process, and we discuss at length the inadequacies of the approximation schemes that are inherent to the usual virtual-photon approaches. Typical results for collisions corresponding to experiments at the BNL Alternating Gradient Synchrotron, CERN, and the Relativistic Heavy Ion Collider are discussed.
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