Abstract
AbstractA theoretical investigation of the resonant elastic scattering of laser photons by ultra‐relativistic partially stripped ions, that is the core process of the Gamma Factory project, is presented. Special emphasis in the study is placed on the angular distribution and polarization of scattered photons as observed in the collider and ion‐rest reference frames. In order to describe these (angular and polarization) properties for arbitrary relativistic many‐electron ion, the general approach, based on the application of irreducible polarization tensors, is laid down. By making use of the polarization tensors, the scattering of both conventional plane‐wave‐ and twisted (or vortex) photons is explored in detail. For the former case, it is shown how the propagation directions and polarization states of incident and outgoing photons are related to each other for the , , and resonant transitions. For the scattering of initially twisted light that carries non‐zero orbital angular momentum, the angular distribution of secondary photons is explored and the conditions under which they are also twisted are discussed.
Highlights
A large number of studies in various branches of physics have been performed during the last years within the framework of the Physics Beyond Colliders initiative, whose goal is to further exploit the unique potential of the CERN facility [1]
In the heart of the Gamma Factory proposal is the fundamental process of the resonant photon scattering in which a fast moving ion (i) is excited by a head–on incident photon and (ii) later decays with the emission of a secondary photon
Thanks to to the Lorentz transformation between the collider and ion–rest reference frames, this scattering process will lead to the production of high–energy and well– collimated secondary photon beams that can be used in a variety of experiments [3]
Summary
A large number of studies in various branches of physics have been performed during the last years within the framework of the Physics Beyond Colliders initiative, whose goal is to further exploit the unique potential of the CERN facility [1]. In order to present the theory of the resonant photon scattering we need to agree first about the geometry and kinematics of the process It provides a set of theoretical tools that can be employed to calculate the polarization and angular properties of scattered photons for any setup of future Gamma Factory experiments The analysis of such experiments will generally require the use of the density matrix approach to account for a partial decoherence in the system “ions + light”.
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