Self-consistent model of the electron-positron pair production in the collision of laser pulses

TL;DR

This paper presents a self-consistent model for electron-positron pair production during laser pulse collisions, incorporating backreaction effects and analyzing plasma oscillations through numerical solutions of kinetic and Maxwell equations.

Contribution

It introduces a novel self-consistent approach combining Boltzmann and Maxwell equations to model pair production with backreaction effects in laser collisions.

Findings

Identifies three stages: acceleration, deceleration, and plasma oscillations.

Derives a linear equation for plasma oscillations and relates frequency to plasma quasinormal modes.

Shows oscillation frequency is approximately equal to the plasma frequency.

Abstract

Pair production due to the Schwinger mechanism is modeled in a self-consistent approach taking into account the backreaction of the created particles on the field. The model uses the Boltzmann kinetic equation for the electrons and positrons and the Maxwell equations for the electromagnetic field, which are solved numerically in a certain approximation for the case of the linearly polarized plane wave collision. The results indicate three main stages of the collision process: the acceleration of particles, the deceleration of particles, and plasma oscillations. A linear equation describing the oscillations is obtained, the oscillation frequency is related to the frequency of the quasinormal mode of the plasma with the least damping. It is also shown that the oscillation frequency is of the order of the plasma frequency.