Investigation of spin resonance crossing in proton circular accelerators

Author

Balandin, V. ; Golubeva, N.

Author_Institution

Inst. of Nucl. Res., Acad. of Sci., Moscow, Russia

fYear

1993

fDate

17-20 May 1993

Firstpage

444

Abstract

The general approach to the problem of the symplectic integration of Hamilton´s equations and which uses only the common properties of Lie groups, is developed to obtain the numerical tracking methods for both orbital and spin motions. The integration step of these methods is an explicit canonical map (we use the term “canonical” instead “symplectic” for the systems with the spin Poisson brackets). Some methods are realized in the computer code VasiLIE. With help of this code it is possible to study the dynamics of the polarization during acceleration. The numerical simulation of crossing the depolarizing resonances depending on the different parameters was performed for a lattice under study for the TRIUMF KAON Factory Booster. The effect of nonlinear elements is also discussed

Keywords

Lie groups; numerical analysis; partial differential equations; particle beam diagnostics; physics computing; polarimetry; proton accelerators; Hamilton´s equations; Lie groups; TRIUMF KAON Factory Booster; VasiLIE; canonical map; depolarizing resonance crossing; nonlinear elements; numerical tracking methods; orbital motion; proton circular accelerators; spin motion; spin resonance crossing; symplectic integration; Acceleration; Lattices; Mesons; Numerical simulation; Poisson equations; Polarization; Production facilities; Protons; Resonance; Tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.308887

Filename

308887