Theoretical Investigation of Linear Polarization Effects on Electron—Positron Pair Production in the Electromagnetic Field of Be49 Nucleus

Electron–positron pair production is one of the fundamental quantum electrodynamical (QED) processes and provides an important framework for investigating photon–matter interactions. In this work, the influence of linear photon polarization on electron–positron pair production in the electromagnetic field of the Be49 nucleus is investigated using both the conventional Bethe–Heitler formalism and its polarization-dependent extension. The differential cross sections are evaluated deterministically in Wolfram Mathematica 13.3 over the intermediate photon-energy range of 400–600 MeV and emission angles between 30° and 90°. The numerical results show that the largest differential cross sections are obtained at an incident photon energy of 400 MeV and an emission angle of 30°. A detailed examination of the angular distributions reveals a local change in the vicinity of 60°, which is interpreted because of the kinematic structure of the Bethe–Heitler formalism rather than a distinct production mechanism. A direct comparison with the conventional Bethe–Heitler model demonstrates that linear photon polarization consistently enhances the differential cross section throughout the investigated kinematic range. These leading-order theoretical results provide a systematic analysis of the combined energy and angular dependence of polarized pair production in the Be49 nucleus and contribute to a deeper understanding of polarization effects in intermediate-energy QED processes.