Longitudinal particle tracking of J-PARC RCS for synchronization

We have performed particle tracking simulation of J- PARC RCS to study the synchronization process. A frequency offset is added to the original rf frequency pattern to shift the bunch center, under the condition that the offset value should be 'adiabatic' with respect to the synchrotron motion. Since the synchrotron frequency of the J-PARC RCS is substantially changed during acceleration, the particle tracking simulation helps to decide the limit of the frequency offset which can be employed.