Title :
Taylor map and calculation of equilibrium polarization direction for proton storage rings
Author :
Balandin, V. ; Golubeva, N.
Author_Institution :
Inst. of Nucl. Res., Acad. of Sci., Moscow, Russia
Abstract :
The spin-orbital motion in proton storage rings is investigated with help of the methods of Lie operators and computer algebra. The one-turn transfer map is used to obtain the orbital and spin tunes, the invariant functions of the orbital motion and the equilibrium polarization direction
Keywords :
Lie algebras; particle beam diagnostics; polarimetry; proton accelerators; storage rings; symbol manipulation; Lie operator; Taylor map; computer algebra; equilibrium polarization direction; invariant functions; one-turn transfer map; orbital tune; proton storage rings; spin tune; spin-orbital motion; Accelerated aging; Algebra; Differential algebraic equations; Differential equations; Linearity; Magnetic fields; Optical polarization; Poisson equations; Protons; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.308888
