Abstract
Background
CEPC is a 100-kilometer-long electron-position collider, aiming to produce Higgs, W and Z-pole. Double ring (DR) is the baseline design of its main ring, and advanced partial double ring (APDR) is the alternative one.
Purpose
The purpose of this paper is to study the beam loading effects and the corresponding longitudinal beam dynamics of CEPC DR and APDR.
Methods
The phase shift of the bunches modulated by the bunch gap is calculated with the approximation formulas and simulated with the program. All these methods are compared, and the application conditions of them are also elaborated. In addition, the longitudinal coupled-bunch instability in CEPC main ring is calculated by analytical formulas.
Results
In CEPC DR high-lumi Z, the phase shift can be reduced to 0.51 deg(\(^\circ \)). Besides, the total number of unstable longitudinal modes is 15 in CEPC DR high-lumi Z when no feedback system is added.
Conclusion
The phase shift of the bunches in CEPC can be reduced to an acceptable value if the optimal filling pattern is chosen. For CEPC APDR, the RF parameters are calculated and the beam loading effects are tolerable.
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Acknowledgements
The authors would like to thank the ILC group members in IHEP, N. Wang and Y. Zhang in IHEP, Dmitry Teytelman, Haipeng Wang in JLAB.
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This study was supported by National Key Programme for S&T Research and Development (Grant No.: 2016YFA0400400), National Natural Science Foundation of China (No. 11575218), Key research Program of Frontier Science, CAS (Grant No.: QYZDJ-SSW-SLH004).
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Gong, D., Gao, J., Zhai, J. et al. Cavity fundamental mode and beam interaction in CEPC main ring. Radiat Detect Technol Methods 2, 17 (2018). https://doi.org/10.1007/s41605-018-0048-0
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DOI: https://doi.org/10.1007/s41605-018-0048-0