We analyse the systematic errors on the spin precession of particles in the storage ring, especially in the muon g-2/EDM project. There particles have both anomalous magnetic moments (g-2) and elctric dipole moments(EDM), and their positions and velocity directions have both O(10−3−10−4)≡O(ϵ) extensions. In order to measure these dipole moments up to 0.1ppm or more we determine the precession frequency up to O(ϵ2). Our analytical formulation includes the Farley's pitch correction in the special case and can be applied to more general experimental setups.
@article{arxiv.1804.06247,
title = {Systematic Errors in General Spin Precession in Storage Ring},
author = {Takeshi Fukuyama},
journal= {arXiv preprint arXiv:1804.06247},
year = {2026}
}
Comments
13pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1608.05784