Stimulation and Measurement of Radial Betatron Oscillations in the Bevatron Using the RF Accelerating System

Recent activity in resonant extraction of the circulating proton beam at the Bevatron spurred interest in accurately measuring the radial betatron oscillation frequency. Calculations indicated that it would be practical to use the existing RF system tuned to the betatron-oscillation frequency for excitation of the desired oscillations. Measurement of the proton rotational frequency and the betatron oscillation frequency has been carried out with the aid of a small digital data processor. The system we have used allows dynamic on-line presentation of beam radius, betatron frequency, and rotational frequency to precision of approximately one part in 10 000.