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We study the lepton pair photoproduction in peripheral heavy-ion collisions based on the formalism in our previous work R. -j. Wang, S. Pu, and Q. Wang, Phys. Rev. D 104, 056011 (2021). We present the numerical results for the distributions of the transverse momentum, azimuthal angle and invariant mass for e^+e^- and ^+^- pairs as functions of the impact parameter and other kinematic variables in Au+Au collisions. Our calculation incorporates the information on the transverse momentum and polarization of photons which is essential to describe the experimental data. We observe a broadening effect in the transverse momentum for lepton pairs with and without smear effects. We also observe a significant enhancement in the distribution of cos (2) for ^+^- pairs. Our results provide a baseline for future studies of other higher order corrections beyond Born approximation and medium effects in the lepton pair production.
Wang et al. (Tue,) studied this question.