Impact parameter dependence of the effect of background field on coupling constant in heavy ion collisions

We investigated the impact parameter dependence of the background field’s effect on the coupling constant of the $\gamma \gamma \to l^{+}{l}^{-}\gamma$ process in heavy-ion collisions. The peripheral electric fields of heavy ions collide, and after photon annihilation into lepton pairs, the subsequent emission of radiation photons will be affected by the background field. Numerical estimates indicate that the dependence of this effect on the impact parameter is significant during this process.