China Spallation Neutron Source(CSNS)is a high power proton accelerator-based facility.Uncontrolled beam loss is a major concern in designing the CSNS to control the radioactivation level.For the Rapid Cycling Synchrotron(RCS)of the CSNS,the repetition frequency is too high for the longitudinal motion to be fully adiabatic.Significant beam loss happens during the RF capture and initial acceleration of the injection period.To reduce the longitudinal beam loss,beam chopping and momentum offset painting methods are used in the RCS injection.This paper presents detailed studies on the longitudinal motion in the RCS by using the ORBIT simulations,which include different beam chopping factors,momentum offsets and RF voltage optimization.With a trade-off between the longitudinal beam loss and transverse incoherent tune shift that will also result in beam losses,optimized longitudinal painting schemes are obtained.
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