Speaker
Description
Spin motion in an accelerator is governed by the Thomas-Bargmann-Michel-Telegdi (T-BMT) equation, which describes how electromagnetic fields affect a particle’s spin. Although the fields experienced by a particle are determined by its orbital trajectory through a magnet, there is no analytical solution to the T-BMT equation, even for simple elements like dipoles and quadrupoles. However, if one linearizes the T-BMT equation in the phase-space coordinates, the resulting equation can be solved exactly for common magnets. This process traditionally involves linearization around the center of the magnet, but in the current model of the Electron-Ion Collider’s Hadron Storage Ring (HSR), there are some magnets where the orbit deviates significantly from the center of the magnet. In this paper, we instead linearize the T-BMT equation around the closed orbit and show how this leads to more accurate spin transfer through the HSR with numerical integration as the baseline. We then use our new formulae to optimize spin polarization in the HSR by numerically filtering the possible Siberian snake axis configurations, a process which is not feasible with slow numerical integration.
| Region represented | America |
|---|---|
| Paper preparation format | LaTeX |
