Re-evaluation of Spin-Orbit Dynamics of Polarized e+ e- Beams in High Energy Circular Accelerators and Storage Rings: an approach based on a Bloch equation

TL;DR

This paper reviews analytical and numerical methods for understanding spin polarization in high-energy electron storage rings, focusing on the Bloch equation approach to evaluate polarization possibilities for future colliders like CEPC and FCC-ee.

Contribution

It introduces a comprehensive analysis of the Bloch equation method for spin dynamics, offering insights into polarization in next-generation circular accelerators.

Findings

Assessment of polarization feasibility for CEPC and FCC-ee

Comparison of Bloch equation approach with standard formulas

Potential improvements in polarization control techniques

Abstract

We give an overview of our current/future analytical and numerical work on the spin polarization in high-energy electron storage rings. Our goal is to study the possibility of polarization for the CEPC and FCC-ee. Our work is based on the so-called Bloch equation for the polarization density introduced by Derbenev and Kondratenko in 1975. We also give an outline of the standard approach, the latter being based on the Derbenev-Kondratenko formulas.