Pair production in asymmetric Sauter potential well

TL;DR

This paper investigates electron-positron pair production in an asymmetric Sauter potential well, analyzing how asymmetry affects momentum spectra, distribution, and total pair numbers, and compares findings with the symmetric case.

Contribution

It introduces a study of pair production in asymmetric potential wells, extending previous symmetric models and validating the approximation relating electron energy, bound states, and photon energy.

Findings

Asymmetry influences the momentum spectrum and location distribution of created pairs.

The study confirms the validity of the approximation relating electron energy, bound states, and photon energy.

Asymmetric wells can optimize pair production compared to symmetric wells.

Abstract

Electron-positron pair production in asymmetric Sauter potential well is studied, where the potential well has been built as the width of the right edge fixed but the left side of the well is changeable at different values. We study the momentum spectrum, the location distribution and the total pair numbers in this case of asymmetric potential well and compare them with the symmetric case. The relationship between created electron energy, the level energy in the bound states and the photon energy in the symmetric potential well is used to the studied problem for the created electrons in the asymmetric potential well and its validity is confirmed by this approximation. By the location distribution of the electrons we have also shown the reason why the momentum spectrum has an optimization in the asymmetric well compared with the symmetric one.