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Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia
At very high energies, the pair production formation through (Photon with Nucleus produce Leptons and Anti-Leptons) exhibits a variety of intriguing properties. Our present objective was to study the electromagnetic fields (DCS) of sulfur nuclei and their effects on high energy lepton pair production. Analytically and quantitatively, the formation of Leptonic pairs in the Electromagnetic field of light (sulfur) nuclei was calculated by the Beth-Hitler equation for the leptonic pair production process. In Ultra-Relativistic (UR) areas of incident photon energy, applying the resulting formulas to the energy distribution of the leptonic pair production process. When we compare the results, we can observe that the Magnetic field of the target nucleus is more efficacious than the Electric field of the nucleus in the leptonic pair production process. Furthermore, we can show that in Pair Production process, the Differential Cross Section (DCS) owing to the target nucleus's Electric Quadrupole (EQ) and Magnetic Octupole (MO) are bigger than the Differential Cross Section (DCS) attributable to the target nucleus's Electric Charge (EC) distribution and Magnetic Dipole (MD). A lighter-mass nucleus is more effective than a higher-mass nucleus. From this, we conclude that the lower the mass number, the better the production of the pair.
Pair Production, Positron, Differential Cross Section, The Bethe-Hitler Equation
Sadah Abdullah Alkhateeb, Aisha Abdu Alshaery, Rawan Ali Aldosary. (2022). Leptonic Pair Production in Electro Magnetic Field. Nuclear Science, 7(2), 34-38. https://doi.org/10.11648/j.ns.20220702.12
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