Influence of feedbacks in the RF accelerating system and feeders between RF power generators and accelerating resonators on the in-phase dipole oscillations of bunches in cyclic accelerators

In cyclic accelerators, interaction of the beam with the RF accelerating system may generate inphase dipole oscillations of bunches, which govern the limiting current of charged particles in the accelerator. A method of calculating the influence of the parameters of the RF system on the limit current is suggested. It is shown that feedbacks stabilizing the performance of the RF system considerably influence the limiting current in the accelerator. Moreover, the length of feeders through which the power of RF generators is applied to accelerating resonators also has an effect on the limiting current. The efficiency of the method is demonstrated by calculating the limiting electron current in a Sibir'-2 storage ring installed at the Russian Research Centre Kurchatov Institute.