Electron positron pair production accompanied by giant dipole resonance at RHIC and LHC

In ultra-peripheral heavy ion collisions (UPCs), the broad energy spectrum of photons enables a variety of physical processes, ranging from lepton pair production to giant dipole resonances (GDRs). In this work, we evaluate production of electron-positron pair production cross section with GDR. Specifically, we focus on Au+Au collisions at a center of mass energy of $\sqrt{s_{NN}}=$ 200 GeV and Pb+Pb collisions of $\sqrt{s_{NN}}=$ 2.76 TeV per nucleon. We calculate cross sections while taking into account with and without the kinematic restrictions relevant to STAR detectors. We also present the differential cross sections in terms of the variables rapidity $(y)$, transverse momentum ($p_\perp$) and invariant mass ($M$) to compare them with respect to RHIC and LHC energies.