1–6 Jun 2025
Taipei International Convention Center (TICC)
Asia/Taipei timezone

Computing spin-polarization in electron storage rings by solving the Stochastic ODE system of the bunch particles

WEPS094
4 Jun 2025, 16:00
2h
Exhibiton Hall A _Salmon (TWTC)

Exhibiton Hall A _Salmon

TWTC

Poster Presentation MC5.D02 Nonlinear Single Particle Dynamics Resonances, Tracking, Higher Order, Dynamic Aperture, Code Developments Wednesday Poster Session

Speaker

Klaus Heinemann (University of New Mexico)

Description

Our work focuses on estimating the spin-polarization in high-energy electron/positron storage rings in machines like EIC, FCC-ee and CEPC.
We report on an approach to this problem where spin and orbit motion are modeled by the recently discovered system of stochastic ODEs () in the Lab Frame. This captures key effects like radiative depolarization,
Sokolov-Ternov effect, Baier-Katkov effect, kinetic polarization effect and intrabeam scattering effect. This work is focused on analyzing the poorly understood correction terms to the Derbenev-Kondratenko formula for the radiative depolarization time. These correction terms describe the so-called uncorrelated resonance crossings which were proposed by Derbenev and Kondratenko in the early 1970s shortly after they proposed the Derbenev-Kondratenko formula. They are of special interest for circular colliders with very high electron energies like the FCC-ee and the CEPC.
This work includes transforming the system of stochastic ODEs in
from the Cartesian lab frame coordinates to accelerator coordinates as summarized for the orbital motion in the Handbook article by Ellison, Heinemann and Mais **.

Footnotes

  • K. Heinemann, D. Appelo, D.P. Barber, O. Beznosov, J.A. Ellison, Int. Journal of Mod. Phys. A, Vol. 34, 1942032 (2019). See also: arXiv:2101.08955 [physics.acc-ph]
    ** Jim Ellison, K. Heinemann, H. Mais. Handbook of Accelerator Physics and Engineering (Third Edition, 2023), pp. 109-113.

Funding Agency

Supported by U.S. Department of Energy, Office of Science, under Award Numbers
DE-SC0018008 and DE-SC0025476

Region represented America
Paper preparation format LaTeX

Author

Klaus Heinemann (University of New Mexico)

Co-authors

Desmond Barber (Deutsches Elektronen-Synchrotron DESY) James Ellison (University of New Mexico) Jose Agudelo (University of New Mexico) Oleksii Beznosov (Los Alamos National Laboratory)

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