DocumentCode
345558
Title
DA method and symplectification for field map generated matrices of Siberian Snake in RHIC
Author
Xiao, M. ; Katayama, T. ; Forest, E.
Author_Institution
Tokyo Univ., Japan
Volume
1
fYear
1999
fDate
1999
Firstpage
404
Abstract
The simulation of spin precession and orbital motion in Siberian Snakes in RHIC based on the calculated or measured numerical magnetic field has been done. DA (Differential Algebraic) approach was introduced to calculate the orbital map of full Siberian Snakes to second order in the phase space variables. The symplectification was done for the maps obtained by DA. The symplectified maps that satisfy exactly the symplectic conditions are presented in this paper
Keywords
beam handling equipment; colliding beam accelerators; matrix algebra; particle beam stability; proton accelerators; storage rings; synchrotrons; RHIC; Siberian Snake; differential algebraic approach; field map generated matrices; orbital motion; phase space variables; spin precession; symplectified maps; Acceleration; Algebra; Extraterrestrial measurements; Magnetic field measurement; Magnetic fields; Motion measurement; Orbital calculations; Particle beams; Physics; Polarization;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location
New York, NY
Print_ISBN
0-7803-5573-3
Type
conf
DOI
10.1109/PAC.1999.795717
Filename
795717
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