Equation of spin motion in storage rings in a cylindrical coordinate system

Abstract

The exact equation of spin motion in a cylindrical coordinate system with allowance for electric dipole moments of particles has been derived. This equation is convenient for analytical calculations of spin dynamics in circular storage rings when the configuration of main fields is simple enough. The generalized formula for the influence of a vertical betatron oscillation on the angular velocity of spin rotation has been found. This formula agrees with the previously obtained result and contains an additional oscillatory term that can be used for fitting. The relative importance of terms in the equation of spin motion is discussed.

arXiv comment14 pages

References in corpus (6)

• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• A new method of measuring electric dipole moments in storage rings
• All electromagnetic form factors
• Theoretical Expectations for the Muon's Electric Dipole Moment
• Supersymmetric Relations Among Electromagnetic Dipole Operators
• Measurement of the Muon Anomalous Magnetic Moment to 0.7 ppm

Cited by in corpus (25)

• Derivation of Generalized Thomas-Bargmann-Michel-Telegdi Equation for a Particle with Electric Dipole Moment
• Equivalence principle and experimental tests of gravitational spin effects
• Neutrino coupling to cosmological background: A review on gravitational Baryo/Leptogenesis
• Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
• Manipulating twisted electron beams
• Manifestations of the rotation and gravity of the Earth in high-energy physics experiments
• High-precision description and new properties of a spin-1 particle in a magnetic field
• Comprehensive Symmetric-Hybrid ring design for pEDM experiment at below $10^{-29}e\cdot$cm
• Comparison of Spin Dynamics in the Cylindrical and Frenet-Serret Coordinate Systems
• Tensor electric polarizability of the deuteron in storage-ring experiments
• Potential for measurement of the tensor polarizabilities of nuclei in storage rings by the frozen spin method
• Relativistic spin dynamics conditioned by dark matter axions
• Relativistic quantum mechanics of a Proca particle in Riemannian spacetimes
• General classical and quantum-mechanical description of magnetic resonance: An application to electric-dipole-moment experiments
• GSI anomaly and spin-rotation coupling
• General description of spin motion in storage rings in presence of oscillating horizontal fields
• Quantum-Mechanical Description of Spin-1/2 Particles and Nuclei Channeled in Bent Crystals
• Analytical Estimations of the Chromaticity and Corrections to the Spin Precession Frequency in Weak Focusing Magnetic Storage Rings
• Potential for a new muon g-2 experiment
• Systematic error studies for the charged particle EDM measurement proposal
• Field of a moving locked charge as applied to beam-beam interactions in storage rings
• Equation of spin motion for a particle with electric and magnetic charges and dipole moments
• Corrections for a constant radial magnetic field in the g-2 and electric-dipole-moment experiments with muons in storage rings
• Dynamics of a tensor polarization of particles and nuclei and its influence on the spin motion in external fields
• New method of probing an oscillating EDM induced by axionlike dark matter using an RF Wien Filter in storage rings