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arXiv 2205.03462physics.acc-ph
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局部蟹状交叉方案对撞机中蟹状弥散和动量弥散的联合效应

Combined effects of Crab Dispersion and Momentum Dispersion in Colliders with Local Crab Crossing Scheme

Derong Xu, Yun Luo, Yue Hao

摘要:

本文研究了当横向偏转与色散轨道在相互作用点(IP)附近相互作用时,横向-纵向线性耦合对碰撞机IP处束流尺寸的影响。导出了蟹状体色散和动量色散的解析传播公式和闭合轨道形式。详细讨论了蟹状腔处的非零动量色散和蟹状腔到IP的非理想相位,并推导了传输公式,用于预测IP处有无束-束相互作用时的束尺寸畸变。线性结果与非线性模拟使用弱-强梁-梁代码进行比较。

英文摘要:

In this paper, we present the effects of linear transverse-longitudinal coupling on beam size at Interaction Point (IP) of a collider with local crab crossing scheme, when time dependent transverse deflection (crab kicks) and dispersive orbit intertwine near IP. The analytic propagation formula and the closed orbit form of the crab dispersion and momentum dispersion are derived. The non-zero momentum dispersion at crab cavities and the non-ideal phase from crab cavities to IP are detailed with the derived propagation formula to predict the beam size distortion at IP with or without the beam-beam interaction. The linear results are compared with nonlinear simulation using the weak-strong beam-beam code.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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