Instabilities in the Proposed TRIUMF KAON Factory Synchrotrons
The essential specifications of the TRIUMF KAON Factory beam is 100 A at 30 GeV. The TRIUMF proposal consists of 5 rings: an Accumulator feeding a 50 Hz Booster synchrotron which raises the energy to 3 GeV. The Booster injects into a 5 times larger accumulator called the Collector which, when it has collected 5 Booster pulses, feeds them into the 10 Hz, 30 GeV synchrotron (the Driver). The fifth ring (the Extender) is a stretcher to meet the requirement for a slow extracted beam. Rings A and B have a radius of 34 m while rings C, D, and E have a radius of 170 m. The distinguishing features of the two synchrotrons (B and D) are that they operate below transition, they have high circulating currents, and relatively high harmonic numbers. Thus, there is the possibility of many unstable coupled bunch modes but this is mitigated by the fact that the synchrotrons are rapid cycling (50 Hz and 10 Hz). There is, therefore, less time for any instabilities to grow.