Abstract
| Many proposals to measure a possible small Electric Dipole Moment (EDM) of charged particles are based on the magic energy concept. Without EDM and for a ring without imperfections, an initial longitudinal polarization of a bunch is maintained in electro-static bendings by operation at a particular energy called the magic energy. A finite EDM generates a spin rotation into the vertical direction. The initial proposal foresaw focusing with electro-static quadrupolar components, whereas the hybrid ring uses magnetic quadrupoles. This study investigates the vertical spin build- up in magic energy charged particle (cpEDM) rings caused by imperfections, focusing on the effects caused by vertical offsets in both magnetic and electric quadrupoles and their interplay with horizontal betatron oscillations. Through a comprehensive analysis that compares analytical estimates with simulation models, the research highlights discrepancies between the results. |