Design study on slow beam extraction in the 1 GeV rapid cycling synchrotron at the PEFP

We studied third-order resonance effects in a slow extraction system for a future 1-GeV proton synchrotron the Proton Engineering Frontier Project. This paper describes the properties of the optics design and optimizations for slow extraction in the synchrotron. The effects of the third integer resonance in Rapid Cycle Synchrotron were investigated. We performed beam tracking simulations to observe the motions of particles in phase space by using the Methodical Accelerator Design 8 program. Finally, we performed beam trace simulations at the designed slow extraction line and showed that the proton beam could be stably extracted by using the RCS.