Nonlinear Compton scattering and nonlinear Breit-Wheeler pair production including the damping of particle states

TL;DR

This paper analyzes how particle state decay affects nonlinear Compton scattering and Breit-Wheeler pair production probabilities in intense electromagnetic fields, emphasizing the importance of damping effects for accurate probability calculations.

Contribution

It provides analytical and numerical results for spin- and polarization-resolved probabilities including damping, demonstrating their impact on the probabilities' behavior and scaling.

Findings

Damping ensures probabilities remain below unity.

Probabilities scale with field intensity and pulse duration.

Total probability in Compton scattering approximates a Poisson distribution.

Abstract

In the presence of an electromagnetic background plane-wave field, electron, positron, and photon states are not stable, because electrons and positrons emit photons and photons decay into electron-positron pairs. This decay of the particle states leads to an exponential damping term in the probabilities of single nonlinear Compton scattering and nonlinear Breit-Wheeler pair production. In this paper we investigate analytically and numerically the probabilities of nonlinear Compton scattering and nonlinear Breit-Wheeler pair production including the particle states' decay. For this we first compute spin- and polarization-resolved expressions of the probabilities, provide some of their asymptotic behaviors and show that the results of the total probabilities are independent of the spin and polarization bases. Then, we present several plots of the total and differential probabilities for different pulse lengths and for different spin and polarization quantum numbers. We observe that it is crucial to take into account the damping of the states in order for the probabilities to stay always below unity and we show that the damping factors also scale with the intensity and pulse duration of the background field. In the case of nonlinear Compton scattering we show numerically that the total probability behaves like a Poissonian distribution in the regime where the photon recoil is negligible. In all considered cases, the kinematic conditions are such that the final particles momenta transverse to the propagation direction of the plane wave are always much smaller than the particles longitudinal momenta and the main spread of the momentum distribution on the transverse plane is along the direction of the plane-wave electric field.