Space charge effects on coupled-bunch instability in high-intensity proton rings
Kazuhito Ohmi, Liangsheng Huang, Hanyang Liu, and Li Rao
Phys. Rev. Accel. Beams 28, 070101 (2025) - Published 7 July, 2025
The bunch-coupled instability of a beam moving under the influence of space charge forces and narrow-band impedance is analyzed through eigenvalue analysis of the Vlasov equation. When the space charge force is weak compared to synchrotron oscillations, chromaticity suppresses the bunch-coupled instability. However, as the space charge force becomes dominant, the oscillation mode of the bunch transitions from synchro-beta oscillations to a mode dependent solely on the longitudinal coordinate z, independent of momentum deviation, resulting in a weakening of the instability suppression effect.













