Phys. Rev. ST Accel. Beams 9, 034003 (2006) [7 pages]

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

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Alexander J. Silenko
Institute of Nuclear Problems, Belarusian State University, 220080 Minsk, Belarus

Received 23 January 2004; revised 14 December 2004; published 29 March 2006

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.


©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.9.034003
DOI: 10.1103/PhysRevSTAB.9.034003
PACS: 29.27.Hj, 41.75.−i

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