Coherent betatron instability driven by electrostatic separators-stability analysis of the Tevatron

Possible intensity limits due to the coherent betatron motion are outlined for the upgraded Tevatron with electrostatic separators. Numerical simulations show that this new vacuum chamber structure dominates the high-frequency part of the coupling impedance spectrum and is likely to excite a slow head-tail instability. A simple stability analysis yields the characteristic growth time of the unstable modes.<>