Author: Jagasia, R.
Paper Title Page
THADC2
Precision Nonlinear Dynamics in Electrostatic Rings for EDM Studies  
 
  • M. Berz, R. Jagasia, K. Makino
    MSU, East Lansing, Michigan, USA
 
  Funding: US Department of Energy
Recent interest electric dipole moments of hadrons and light nuclei necessitates the design of storage ring designs relying on electrostatic elements for deflection and focusing. Since the effects of interest are exceedingly small and difficult to extract from the dynamics, unusually high precision in the understanding of the linear and nonlinear optics is required. This leads to the need of precise treatment of a various effects that are often of subdued importance, including the detailed shape of fringe fields and their influence on steering, spin flip devices, and rf cavities out of synch with the frequency of the ring. In all studies, it is important to perform symplectic tracking for the full spin-orbit dynamics. At the same time it is necessary to preserve the particle’s energy during transversal of electric potentials, errors in which are similarly detrimental as errors in symplecticity. Unfortunately it is known that schemes to preserve symplecticity do not simultaneously preserve energy and vice versa. We present some hybrid approaches based on high-order maps that minimize the violations of either invariant while minimally impacting spin-orbit motion.