Abstract
Theoretical elucidation of space charge effects on the coupled-bunch instability at the 3 GeV rapid cycling synchrotron at the Japan Proton Accelerator Research Complex
Highlights
The 3 GeV Rapid Cycling Synchrotron (RCS) at the Japan Proton Accelerator Research Complex [1] aims to achieve a megawatt-class beam
There has been some concern that the kicker impedance limits the beam intensity of the RCS [14] by exciting beam instabilities [6]
We demonstrate that the RCS is a kicker-impedancedominated machine; we show this by suppressing the beam growth rate in accordance with the reduction of the kicker impedance [12,13]
Summary
The 3 GeV Rapid Cycling Synchrotron (RCS) at the Japan Proton Accelerator Research Complex [1] aims to achieve a megawatt-class beam. The conventional Sacherer formula [18,19] estimates the beam growth rate by using the impedances as an input parameter Such estimation differs significantly from the measured results at the RCS. We develop a new theory that includes coupled-bunch and head-tail instabilities with space charge effects based on the Vlasov equation [6,23]. Using this theory, we try to understand the parameter dependence (the transverse emittance dependence, the beam peak current dependence, the tune dependence, etc.) of the beam instability observed at the RCS. In Appendix B, we explain canonical transformations to derive the Hamiltonian describing nonlinear betatron oscillation by using action-angle variables from the original Hamiltonian given by Eq (1)
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