Coulomb effects in the spin-dependent contribution to the intra-beam scattering rate

TL;DR

This paper develops a method to accurately account for Coulomb effects in intra-beam scattering, enabling precise calculation of spin-dependent beam loss rates for polarized electron and positron beams at very small energy change ratios.

Contribution

It introduces a novel approach to include Coulomb effects in intra-beam scattering calculations, improving the accuracy for polarized beams at small energy variations.

Findings

Accurate calculation of spin-dependent beam loss rates.

Method applicable to polarized $e^{\pm}$ beams at small energy change ratios.

Enhanced understanding of Coulomb effects in intra-beam scattering.

Abstract

Coulomb effects in the intra-beam scattering are taken into account in a way providing correct description of the spin-dependent contribution to the beam loss rate. It allows one to calculate this rate for polarized $e^{\pm}$ beams at arbitrarily small values of the ratio $\delta \varepsilon/\varepsilon$, characterizing relative change of the electron energy in the laboratory system during scattering event.