Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-01-22
Published in Phys.Rev. ST Accel. Beams 9:034003,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages
Scientific paper
10.1103/PhysRevSTAB.9.034003
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.
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