A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang; Chen Siyu

Chinese Physics C> 1988, Vol. 12> Issue(S2) : 181-188

A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang ,
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
The betatron tune spread caused by magnetic field errors in accelerators is an important parameter. In this paper, an expression of middle-plane-asymmetri-cal magnetic field errors is obtained based on the Maxwell equations, and a general of tune spread is derived starting from the transverse equations of motion.

[1]	N. Amangeldi , N. Burtebayev , G. Yergaliuly , Maulen Nassurlla , B. Balabekov , Abylay Tangirbergen , Awad A. Ibraheem , Mohamed A. Dewidar , Sh. Hamada . Breakup of ⁷Li in the field of ^118,120Sn nuclei and its effect on the elastic scattering channel. Chinese Physics C, 2026, 50(2): 1-12.
[2]	. Rephasing invariant formulae for CP phases in general parameterizations of flavor mixing matrix and exact sum rules with unitarity triangles. Chinese Physics C, 2026, 50(2): 1-5.
[3]	Minghui Ding , Fei Gao , Sebastian M. Schmidt . Anisotropic quark propagation and Zeeman effect in an external magnetic field. Chinese Physics C, 2026, 50(2): 1-19.
[4]	Tetsuaki Moriguchi , Momo Mukai , Naoto Kaname , Akira Ozawa , Shinji Suzuki , Yasushi Abe , Hiroki Arakawa , Tomoya Fujii , Daiki Hamakawa , Sakumi Harayama , Shun Hosoi , Yasuto Inada , Kumi Inomata , Reo Kagesawa , Daisuke Kajiki , Daiki Kamioka , Masanori Kanda , Atsushi Kitagawa , Takaaki Kobayashi , Daisuke Nagae , Sarah Naimi , Kunimitsu Nishimuro , Shunichiro Omika , Misaki Otsu , Mamoru Sakaue , Shinji Sato , Hibiki Seki , Naru Shinozaki , Takeshi Suzuki , Keisuke Tomita , Takayuki Yamaguchi , Yoshitaka Yamaguchi , Asahi Yano , Kenjiro Yokota . Improvements of time-of-flight detector utilizing a thin foil and crossed static electric and magnetic fields. Chinese Physics C, 2025, 49(10): 104001. doi: 10.1088/1674-1137/ade95b
[5]	Qing Wu , Wei-Feng Li , Zhong-Ming Niu , Hao-Zhao Liang , Min Shi . Improvement of nuclear semi-empirical mass formula by including shell effect. Chinese Physics C, 2025, 49(11): 114103. doi: 10.1088/1674-1137/ade954
[6]	Ning Wang . Refinement of an analytical capture cross section formula. Chinese Physics C, 2025, 49(12): 124106. doi: 10.1088/1674-1137/adfe53
[7]	Xiaocong Ai , Stefan Antusch , Peter Athron , Yunxiang Bai , Shou-Shan Bao , Daniele Barducci , Xiao-Jun Bi , Tianji Cai , Lorenzo Calibbi , Junsong Cang , Junjie Cao , Wei Chao , Boping Chen , Gang Chen , Long Chen , Mingshui Chen , Shanzhen Chen , Xiang Chen , Huajie Cheng , Huitong Cheng , Yaodong Cheng , Kingman Cheung , Min-Huan Chu , João Barreiro Guimarães da Costa , Xinchen Dai , Arindam Das , Zhi-fu Deng , Frank F. Deppisch , P. S. Bhupal Dev , Yabo Dong , Marco Drewes , Xiaokang Du , Yong Du , Jun Fan , Yaquan Fang , Cunfeng Feng , Andrew Fowlie , Hao-fei Gao , Jie Gao , Lin-Qing Gao , Meisen Gao , Yu Gao , Yuanning Gao , Bruce Mellado Garcia , Shao-Feng Ge , Ti Gong , Jiayin Gu , Lei Guo , Pei-Hong Gu , Yu-Chen Guo , Zhi-Hui Guo , Jan Hajer , Rabia Hameed , Chengcheng Han , Shuo Han , Tao Han , Xiqing Hao , Hong-Jian He , Xiaogang He , Yangle He , Sven Heinemeyer , Zhaoxia Heng , Xiao-Hui Hu , Fa Peng Huang , Fei Huang , Yanping Huang , Jianfeng Jiang , Xu-Hui Jiang , Hong-Bo Jin , Mingjie Jin , Shan Jin , Wenyi Jin , Mussawir Khan , Honglei Li , Jiarong Li , Jinmian Li , Liang Li , Lingfeng Li , Qiang Li , Shu Li , Tianjun Li , Tong Li , Weidong Li , Xin-Qiang Li , Ying Li , Yuhui Li , Zhao Li , Shiyi Liang , Zhijun Liang , Chengxin Liao , Hongbo Liao , Jiajun Liao , Hai Lin , Bo Liu , Hang Liu , Jia Liu , Jianbei Liu , Jianglai Liu , Tao Liu , Wei Liu , Yang Liu , Zhaofeng Liu , Zhen Liu , Zuowei Liu , Xinchou Lou , Chih-Ting Lu , Feng Lyu , Kai Ma , Lianliang Ma , Farvah Mahmoudi , Sanjoy Mandal , Yajun Mao , Ying-nan Mao , Manimala Mitra , Roberto A. Morales , Michael Ramsey-Musolf , Miha Nemevšek , Takaaki Nomura , C.J. Ouseph , Yusi Pan , Junle Pei , Fazhi Qi , Huirong Qi , Zan Ren , Craig D. Roberts , Manqi Ruan , Liangliang Shang , Dingyu Shao , Yue-Long Shen , Yu-Ji Shi , Sujay Shil , Huayang Song , Shufang Su , Wei Su , Hao Sun , Xiaohu Sun , Zheng Sun , Zhijia Sun , Jin-Xin Tan , Van Que Tran , Bin Wang , Dayong Wang , En Wang , Fei Wang , Guang-Yu Wang , Hengyu Wang , Jianchun Wang , Jin Wang , Jin-Wei Wang , Kechen Wang , Kun Wang , Sai Wang , Wei Wang , Wenyu Wang , Xiao-Ping Wang , Yi Wang , Yifang Wang , You-kai Wang , Yuexin Wang , Yu-Ming Wang , Zeren Simon Wang , Zheng Wang , Lei Wu , Peiwen Wu , Yongcheng Wu , Yusheng Wu , Guotao Xia , Ligang Xia , Rui-Qing Xiao , Ke-Pan Xie , Ye Xing , Zhi-zhong Xing , Da Xu , Fang Xu , Ji Xu , Bin Yan , Qi Yan , Haijun Yang , Jin-Min Yang , Shuo Yang , Jingbo Ye , Peng-Fei Yin , Zhengyun You , Zhao-Huan Yu , Jiarong Yuan , Xing-Bo Yuan , Chongxing Yue , Yuanfang Yue , Jun Zeng , Hao Zhang , Hong Zhang , Hong-Hao Zhang , Huaqiao Zhang , Kaili Zhang , Mengchao Zhang , Mu-Hua Zhang , Qi-An Zhang , Xinmin Zhang , Yang Zhang , Ying Zhang , Yongchao Zhang , Yu Zhang , Yu Zhang , Qiang Zhao , Shuai Zhao , Chen Zhou , Haijing Zhou , Ye-Ling Zhou , Bin Zhu , Jingya Zhu , Jing-Yu Zhu , Pengxuan Zhu , Qianteng Zhu , Rui Zhu , Xuai Zhuang . New Physics Search at the CEPC: a General Perspective. Chinese Physics C, 2025, 49(12): 1-108.
[8]	Xiaocong Ai , Wolfgang Altmannshofer , Peter Athron , Xiaozhi Bai , Lorenzo Calibbi , Lu Cao , Yuzhi Che , Chunhui Chen , Ji-Yuan Chen , Long Chen , Mingshui Chen , Shanzhen Chen , Xuan Chen , Shan Cheng , Cheng-Wei Chiang , Andreas Crivellin , Hanhua Cui , Olivier Deschamps , Sébastien Descotes-Genon , Xiaokang Du , Shuangshi Fang , Yu Gao , Yuanning Gao , Li-Sheng Geng , Pablo Goldenzweig , Jiayin Gu , Feng-Kun Guo , Yuchen Guo , Zhi-Hui Guo , Tao Han , Hong-Jian He , Jibo He , Miao He , Xiaogang He , Yanping Huang , Gino Isidori , Quan Ji , Jianfeng Jiang , Xu-Hui Jiang , Jernej F. Kamenik , Tsz Hong Kwok , Gang Li , Geng Li , Haibo Li , Haitao Li , Hengne Li , Honglei Li , Liang Li , Lingfeng Li , Qiang Li , Qiang Li , Shu Li , Xiaomei Li , Xin-Qiang Li , Yiming Li , Yubo Li , Yuji Li , Zhao Li , Hao Liang , Zhijun Liang , Libo Liao , Zoltan Ligeti , Jia Liu , Jianbei Liu , Tao Liu , Yi Liu , Yong Liu , Zhen Liu , Xinchou Lou , Peng-Cheng Lu , Alberto Lusiani , Hong-Hao Ma , Kai Ma , Farvah Mahmoudi , Yajun Mao , Yaxian Mao , David Marzocca , Juan-Juan Niu , Soeren Prell , Huirong Qi , Sen Qian , Zhuoni Qian , Qin Qin , Ariel Rock , Jonathan L. Rosner , Manqi Ruan , Dingyu Shao , Chengping Shen , Xiaoyan Shen , Haoyu Shi , Liaoshan Shi , Zong-Guo Si , Cristian Sierra , Huayang Song , Shufang Su , Wei Su , Zhijia Sun , Michele Tammaro , Dayong Wang , En Wang , Fei Wang , Hengyu Wang , Jian Wang , Jianchun Wang , Kun Wang , Lian-Tao Wang , Wei Wang , Xiaolong Wang , Xiaoping Wang , Yadi Wang , Yifang Wang , Yuexin Wang , Xing-Gang Wu , Yongcheng Wu , Rui-Qing Xiao , Ke-Pan Xie , Yuehong Xie , Zijun Xu , Haijun Yang , Hongtao Yang , Lin Yang , Shuo Yang , Zhongbao Yin , Fusheng Yu , Changzheng Yuan , Xing-Bo Yuan , Xuhao Yuan , Chongxing Yue , Xi-Jie Zhan , Hong-Hao Zhang , Kaili Zhang , Liming Zhang , Xiaoming Zhang , Yang Zhang , Yanxi Zhang , Ying Zhang , Yongchao Zhang , Yu Zhang , Zhen-Hua Zhang , Zhong Zhang , Mingrui Zhao , Qiang Zhao , Xu-Chang Zheng , Yangheng Zheng , Chen Zhou , Daicui Zhou , Pengxuan Zhu , Yongfeng Zhu , Xuai Zhuang , Xunwu Zuo , Jure Zupan . Flavor physics at the CEPC: a general perspective. Chinese Physics C, 2025, 49(10): 103003. doi: 10.1088/1674-1137/adf1f0
[9]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[10]	Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz . Rotating and non-linear magnetic-charged black hole with an anisotropic matter field. Chinese Physics C, 2025, 49(10): 105106. doi: 10.1088/1674-1137/ade0a9
[11]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[12]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[13]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[14]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

Access

Get Citation

Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188.

Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-08-18

Article Metric

Article Views(1148)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

Received Date: 1987-08-18

Abstract: The betatron tune spread caused by magnetic field errors in accelerators is an important parameter. In this paper, an expression of middle-plane-asymmetri-cal magnetic field errors is obtained based on the Maxwell equations, and a general of tune spread is derived starting from the transverse equations of motion.