TITLE:
The Angular Distribution Effect of Electron-Positron Pair Production
AUTHORS:
Yara Owaidh Althurwi, Sadah Abdullah Alkhateeb, Nada Ahmed Almuallem
KEYWORDS:
Pair Production, Bethe-Heitler Equation, Angular Distribution, Cross Section
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.6,
June
18,
2026
ABSTRACT: This study investigates the theoretical aspects of electron-positron pair production in light and medium nuclei using quantum electrodynamics (QED) formulations. By employing computational tools such as Mathematica, we analyze the dependence of pair generation rates on nuclear charge, angular distribution, and interaction cross-sections. Special attention is given to the comparative roles of electric and magnetic multipole contributions in shaping production probability. Graphical results are presented to illustrate how the pair production threshold and efficiency vary with both the incident photon angle and nuclear mass. Our findings suggest that lighter nuclei exhibit enhanced pair production efficiency, while higher photon energies amplify the influence of multipole effects. These insights provide useful implications not only for fundamental nuclear physics but also for applied fields such as medical imaging, where precise control of electron-positron pair dynamics is central to technologies like positron emission tomography (PET).