Dirac-Coulomb scattering with plane wave energy eigenspinors on de Sitter expanding universe

TL;DR

This paper calculates the lowest order Dirac-Coulomb scattering amplitude in de Sitter spacetime, demonstrating energy conservation and using exact plane wave eigenspinors for initial and final states.

Contribution

It introduces a method to compute scattering amplitudes in de Sitter spacetime using exact energy eigenspinors, highlighting energy conservation in this curved background.

Findings

Energy is conserved in Dirac-Coulomb scattering on de Sitter spacetime.

The amplitude is computed using exact solutions of the Dirac equation.

The approach confirms the validity of scattering calculations in curved spacetime.

Abstract

The lowest order contribution of the amplitude of Dirac-Coulomb scattering in de Sitter spacetime is calculated assuming that the initial and final states of the Dirac field are described by exact solutions of the free Dirac equation on de Sitter spacetime with a given energy and helicity. We find that the total energy is conserved in the scattering process.