Transverse impedances and collective instabilities in a heavy ion accelerator

Evaluation of transverse impedances and collective instabilities is important for determining whether a transverse feedback system or damping schemes should be prepared in the BRing (Booster Ring) at the HIAF (High Intensity Heavy-ion Accelerator Facility). In this paper, some dominant transverse impedances are estimated to build a transverse impedance model of the BRing. With this model, all potential transverse instabilities and their growth times or rates are analyzed by analytical methods or simulations, and the results agree with each other. The growth times of some instabilities are shorter than the duration times of corresponding manipulations, which shows transverse instabilities may have many detrimental impacts on the BRing. To cure the transverse instabilities, a transverse feedback system will be proposed in the design of the BRing. Besides, this paper not only shows the transverse instabilities in the BRing, but also provides the whole method for estimating them in the design of a new accelerator facility.