Impact of interfermionic forces on the pair-creation process

Using a simplistic model in one spatial dimension, we estimate the impact of the electron-electron, positron-positron, and electron-positron forces on the yield of the pair-creation process triggered by an external superstrong force. We separate the scalar and vector potentials in the Dirac equation into external and internal parts, where the dynamics of the internal potentials are governed by the Maxwell equations with the Dirac charge and current densities as source terms. In order to explore the impact of the interfermionic forces, we compute the number of created pairs, the time evolution of the charge, and current density as well as the electronic and positronic spatial probability density. We find that once the particle pair is created, the electron-positron attraction keeps the particles from being accelerated out of the interaction zone and the resulting Pauli blocking suppresses the pair-creation process. On a longer time scale, however, the forces lead to an enhancement of pair creation.