Numerical Spin Tracking in a Synchrotron Computer Code SPINK - Examples (RHIC)

Spin Resonances for Stored Deuteron Beams in COSY. Vector Polarization. Tracking with Spink

“…Spink is a spin tracking code through the lattice of a synchrotron [2], [3]. In this code each machine element is treated as "thin" for spin motion and the spin angle rotation µ is then calculated by a "flattened" version of the BMT spin equation [4] …”

Spin rotation formalism for spin tracking (REVISED)

“…Spin tracking in a polarized particle accelerator is done in Spink [1] by moving the beam through transport maps created by MAD and rotating the spin at each element by means of 3 × 3 matrices. This is the case of vector polarization of, typically, protons or deuterons.…”

“…(1) suggests that the coefficient for spin rotation in a field parallel to the trajectory should proportional to 1 + G and that the coefficient for a field perpendicular to the trajectory should be proportional to 1 + Gγ. We will see that this is NOT the case.…”

Accurate and efficient spin integration for particle accelerators

“…Hoffstätter and Berz did the same for COSY-Infinity in 1993 [11]. Luccio developed SPINK in the mid-1990s to support the goal of accelerating polarized protons in RHIC [39,41]. Hoffstätter and Vogt created SPRINT to study the feasibility of attaining proton polarization at very high energy in HERA [61,36].…”