Abstract

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.

Highlights

  • IntroductionRelativistic beam dynamics is a fundamental concept in accelerator physics, for storing the charged beam in particle accelerators and to conduct particle physics experiments, and has been naturally well described in many studies [1–5]

  • 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

  • Relativistic beam dynamics is a fundamental concept in accelerator physics, for storing the charged beam in particle accelerators and to conduct particle physics experiments, and has been naturally well described in many studies [1–5]

Read more

Summary

Introduction

Relativistic beam dynamics is a fundamental concept in accelerator physics, for storing the charged beam in particle accelerators and to conduct particle physics experiments, and has been naturally well described in many studies [1–5]. In certain cases, such as in extremely high precision experiments in the intensity frontier, it becomes crucial to anatomize the beam and spin motions of a polarized beam with much higher accuracy to understand and control the systematic effects. Examples of such experiments are the muon g − 2 experiments [6–8], the storage ring proton/deuteron electric dipole moment (EDM) experiment [9,10] ( high precision tools that were developed to control and measure the spin motions in JEDI collaboration [11–14]) or several recently proposed storage ring experimental concepts seeking for exotic dark matter signals [15–17]

Objectives
Findings
Discussion
Conclusion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.