Impact-parameter dependence of multiple lepton-pair production from electromagnetic fields.

In relativistic heavy-ion collisions, the strong Lorentz-contracted electromagnetic fields are capable of producing copious numbers of lepton pairs through the two-photon mechanism. Monte Carlo techniques have been developed that allow the exact calculation of production by this mechanism when a semi-classical approximation is made to the motion of the two ions. Here, we develop a hybrid Monte Carlo technique that enables us to calculate the impact parameter dependence of the two-photon mechanism for lepton-pair production, and by using this result, we obtain the probability distribution for multiple-pair production as a function of impact parameter. Computations are performed for S+Au and Pb+Pb systems at 200 A GeV and 160 A GeV, respectively. We also compare our results with the equivalent photon approximation and elucidate the differences. 25.75.+r, 34., 12.20.Ds, 02.70.Jn Typeset using REVTEX New address: Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138