Abstract
In the presence of the electron beam in the cooling solenoid, both longitudinal and transverse instability could take place for the circulating Au beam. A threshold of the electron beam density has been derived for RHIC gold ion beam longitudinal instability to take place. The transversal instability growth rate has been calculated for magnetized cooling scheme, which shows strong dependence on the neutralization factor, η, of the cooling solenoid. The instability thresholds for the non‐magnetized electron cooling scheme have been calculated both in the longitudinal direction and the transverse direction. While the longitudinal instability threshold for the designed parameters is quite similar as the magnetized cooling case, the transversal instability threshold is two orders of magnitude bigger than the magnetized cooling scheme and a coherent damping effect is introduced to the ion beam by the two beam transversal interaction in the cooling section.
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