Double bremsstrahlung from high-energy electron in the atomic field

TL;DR

This paper derives the differential cross section for double bremsstrahlung from high-energy electrons in atomic fields, accounting exactly for Coulomb corrections and screening effects, advancing theoretical understanding of radiation processes in atomic fields.

Contribution

It provides an exact derivation of the double bremsstrahlung cross section including Coulomb corrections using quasiclassical methods, improving upon previous approximations.

Findings

Coulomb corrections are linked to small momentum transfers.

The correction factor matches that of single bremsstrahlung.

Spectrum corrections are universal at small momentum transfer.

Abstract

The differential cross section of double bremsstrahlung from high-energy electron in the electric field of heavy atoms is derived. The results are obtained with the exact account of the atomic field by means of the quasiclassical approximation to the wave functions and the Green's function in the external field. It is shown that the Coulomb corrections to the differential cross section (the difference between the exact result and the result obtained in the leading Born approximation) correspond to small momentum transfers. The Coulomb corrections to the differential cross section of double bremsstrahlung are accumulated in the factor, which coincides with the corresponding factor in the differential cross section of single bremsstrahlung. At small momentum transfer, this factor is very sensitive to the parameters of screening while the Coulomb corrections to the spectrum have the universal form.