Pitch correction in (g-2) experiments

How to Reach a Thousand-Second in-Plane Polarization Lifetime with0.97−GeV/cDeuterons in a Storage Ring

“…The a i and b i are coefficients for the sextupole currents determined by the emittance and dispersion at the location of the sextupole magnets. The B term also includes contributions from the so-called pitch effect [28] since these also depend on θ 2 y . A linear function serves to describe the measurements in the lower panel of Fig.…”

THE MUON g – 2 EXPERIMENTS

“…Early evaluations of the pitch correction by Wilkinson and Crane [19], Henry and Silver [20], and Fierz and Telegdi [18] were superseded by the analysis of Granger and Ford [21] which, for the first time, took proper account of the changes in pitch angle. Farley [22] obtained the same results with a different approach, and extended the analysis to include both electric and magnetic focusing. (See also Field and Fiorentini [23]).…”

Muon g − 2 and Tests of Relativity

“…26 For n = 0.135, v = 4 cm, r = 700 cm, the pitch correction was 0.5 ppm. The statistical error in the mean radius was typically 0.1−0.2 mm.…”