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Acceleration of polarized hadron beams to high energy requires the use of Siberian snakes. In most long-term tracking simulations, Siberian snakes are represented by an instantaneous spin rotation with no orbital effect. This captures the primary effect on the spin motion, but it is not a realistic representation of the helical-dipole magnets which serve as Siberian snakes in BNL’s AGS and RHIC, and which will be used in the EIC’s Hadron Storage Ring (HSR). This is exemplified by the fact that the closed orbit through these magnets is on the order of one centimeter and that they create many optical distortions which must be compensated. Tracking through these magnets is complicated by the fact that even the simplest helical dipole includes a nontrivial transverse vector potential which prohibits explicit symplectic integration. One option for particle propagation is the use of a non-symplectic, explicit Runge-Kutta method, but this is not suitable for long-term tracking. A more suitable option is implicit symplectic integration. In this paper, SciBmad’s implicit symplectic integrators are used to analyze the effects of realistic Siberian snake models on spin motion.
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