Effect of super-Gaussian pulse shape on pair production in chirped electric field with spatial inhomogeneity

TL;DR

This paper studies how super-Gaussian pulse shapes in spatially inhomogeneous chirped electric fields affect pair production, revealing that pulse shape influences particle yield and spectrum oscillations, with super-Gaussian pulses nearly doubling production compared to Gaussian pulses.

Contribution

It introduces the impact of super-Gaussian pulse envelopes on pair production in inhomogeneous fields, providing insights for optimizing external field configurations.

Findings

Momentum spectrum oscillations increase with super-Gaussian exponent.

Total particle yield rises with super-Gaussian exponent in certain fields.

Super-Gaussian pulses nearly double the particle yield compared to Gaussian pulses.

Abstract

Pair production in spatially inhomogeneous chirped electric fields with super-Gaussian pulse shape is investigated using the Dirac-Heisenberg-Wigner formalism, and the effect of super-Gaussian pulse shapes on the reduced momentum spectrum and the reduced total yield of created particles is mainly concerned. It is found that with the variation of the super-Gaussian envelope exponent, the momentum spectrum exhibits the more pronounced oscillations, shifting and broadening. The total yield of created particles increases monotonically with the increase of the super-Gaussian envelope exponent in the high-frequency fields with small chirp and low-frequency fields with any chirp. Meanwhile, the total yield of created particles under the super-Gaussian pulse electric fields is approximately twice that produced with the usual Gaussian pulse envelope. These results can provide theoretical guidance for optimizing the form of external field to enhance the vacuum pair production rate.