TITLE:
𝒆−𝒆+ Pair Production Using High Energy
AUTHORS:
Yara Owaidh Althurwi, Sadah Abdullah Alkhateeb, Nada Ahmad Almuallem
KEYWORDS:
Pair Production, Bethe-Heitler Equation, Energy Distribution, Cross Section
JOURNAL NAME:
World Journal of Mechanics,
Vol.15 No.6,
June
30,
2025
ABSTRACT: This work studies the energy distribution of pair production for 𝐵𝑒49 and Al1325 using the Bethe-Heitler equation. We use the mathematics program “Mathematica” to compare the electromagnetic effects of photons interacting with beryllium and aluminum nuclei. We compare the impact of electric and magnetic cross-sections on pair generation. Using graphs, we investigate how electric and magnetic fields affect the production of 𝒆−𝒆+. We also study the impact of atomic mass on 𝒆−𝒆+ emission. Our results indicate that harnessing magnetic interactions can produce 𝒆−𝒆+ with specific properties at high energies (MeV) and for lighter nuclei, the efficiency of electron-positron pair production increases significantly. We will now discuss this phenomenon in detail, illustrating the impact of energy and nuclear mass on pair production, as well as the role of multipole interactions in enhancing production efficiency. These ideas are crucial to PET technology, because regulated e−e+ pair formation and annihilation are fundamental to imaging efficacy. These ideas are particularly relevant to positron emission tomography (PET), because regulated electron-positron pair formation and extinction are fundamental to imaging efficacy.