Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings

Understanding beam and spin dynamics are fundamental in accelerator-based experiments concerning polarized beams. And there has been growing interest in having more precise estimations of the beam and spin dynamics variables, as more high precision particle physics experiments in the intensity front...

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Main Authors: On Kim, Yannis K. Semertzidis
Format: Article
Language:English
Published: American Physical Society 2022-02-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.25.024001
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author On Kim
Yannis K. Semertzidis
author_facet On Kim
Yannis K. Semertzidis
author_sort On Kim
collection DOAJ
description Understanding beam and spin dynamics are fundamental in accelerator-based experiments concerning polarized beams. And there has been growing interest in having more precise estimations of the beam and spin dynamics variables, as more high precision particle physics experiments in the intensity frontier appear. This paper provides analytical estimations of some of the important variables such as beam transverse chromaticities and corrections to the spin precession frequency in the simplest type of particle accelerator: a circular magnetic storage ring with weak vertical focusing. We attempt to precisely obtain the next order approximations from the small betatron oscillations or the momentum dispersion, verified by high precision spin tracking simulation. We also discuss a potential way to suppress the corrections to the spin precession frequency, which relevant experiments may find beneficial.
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spelling doaj.art-1ceb42a61e91439eba1dfa86a5c54ea62022-12-22T00:00:03ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882022-02-0125202400110.1103/PhysRevAccelBeams.25.024001Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage ringsOn KimYannis K. SemertzidisUnderstanding beam and spin dynamics are fundamental in accelerator-based experiments concerning polarized beams. And there has been growing interest in having more precise estimations of the beam and spin dynamics variables, as more high precision particle physics experiments in the intensity frontier appear. This paper provides analytical estimations of some of the important variables such as beam transverse chromaticities and corrections to the spin precession frequency in the simplest type of particle accelerator: a circular magnetic storage ring with weak vertical focusing. We attempt to precisely obtain the next order approximations from the small betatron oscillations or the momentum dispersion, verified by high precision spin tracking simulation. We also discuss a potential way to suppress the corrections to the spin precession frequency, which relevant experiments may find beneficial.http://doi.org/10.1103/PhysRevAccelBeams.25.024001
spellingShingle On Kim
Yannis K. Semertzidis
Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
Physical Review Accelerators and Beams
title Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
title_full Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
title_fullStr Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
title_full_unstemmed Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
title_short Analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
title_sort analytical estimations of the chromaticity and corrections to the spin precession frequency in weak focusing magnetic storage rings
url http://doi.org/10.1103/PhysRevAccelBeams.25.024001
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