Author(s)

Sadah A. Alkhateeb, Aisha Abdu Alshaery, Rawan Ali Aldosary

Mathematics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia.

At very high energies, pair production formation (γ + N → e⁺e^-) exhibits a variety of intriguing properties. Analytically and quantitatively, the formation of Electron-Positron pairs in the Electro-Magnetic field of light nuclei has been calculated. In Ultra-Relativistic (UR) areas of incident photon energy, applying the resulting formulas to the energy distribution of the (e^-, e⁺) operation. 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 (e^-, e⁺) operation. Furthermore, we can show that in Pair Production operation, 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).

Pair Production, Positron, Differential Cross Section, The Bethe-Hitler Equation

Alkhateeb, S. , Alshaery, A. and Aldosary, R. (2022) Electron-Positron Pair Production in Electro-Magnetic Field. Journal of Applied Mathematics and Physics, 10, 237-244. doi: 10.4236/jamp.2022.102017.