Modeling the Production of Electron-Positron Pairs

When studying particles with masses between 1 MeV to 100 MeV, the lack of high precision theory coupled with difficulties in experimental measurements makes studying particles with masses less than 1 MeV of significant importance. This lack of understanding promotes interesting questions in the production of these particles. Particular to this research, the study of electron-positron-pair production in the strong field has the ability to provide insight into particle production with masses less than 1 MeV. Studying electron-positron production requires kinematic modeling of collisions of non-relativistic ions such as \(^{238}U\) and \(^{12}C\). This research works to create dynamic kinematic models to track the motion and momentum of all atoms and leptons in the system. Due to the changing Coulomb potential between the colliding ions during electron-positron pair production, this sort of kinematic modeling is carried out numerically, employing standard integration and modeling algorithms such as Taylor expansion integrations and Monte-Carlo sampling.