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Description
Collective beam instabilities are a key limiting factor for the intensity and quality of accelerator beams, arising from the interplay of impedance and space charge effects. We investigate the influence of bunch length and beam velocity on beam impedance in the presence of space charge effects, as well as methods for suppressing transverse single-bunch instabilities. It is found that the instability threshold first increases and then decreases as the space charge strength grows. Adjusting chromaticity and introducing a feedback system are also shown to be effective mitigation measures. The High Intensity Heavy-ion Accelerator Facility (HIAF) in China has been successfully commissioned and is now in operation. In this work, we focus on the Booster Ring (BRing) at HIAF and carry out simulations using its beam parameters. A series of simulations are performed to verify the theoretical analysis and numerical calculations.