Design of solenoid snake for Super Tau-Charm Facility based on particle swarm optimization algorithm
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摘要: 在环形对撞机中等方位角间隔安装奇数个西伯利亚蛇是用来获得纵向极化束对撞的通常方案。根据超级陶粲装置的特点，选取螺线管型西伯利亚蛇作为维持束流极化的装置。详细介绍了如何把粒子群优化算法与螺线管蛇去耦合和光学匹配问题相结合，对它进行快速优化设计，并对设计结果进行了展示。结果显示，基于粒子群算法的螺线管蛇优化设计有效且高效。Abstract: Installing an odd number of Siberian snakes at equal azimuth intervals in a circular collider is a common scheme for obtaining longitudinally polarized beam collisions. In this paper, the solenoid Siberian snake is selected as the device to preserve beam polarization in the Super Tau-Charm Facility according to its characteristics. The paper introduces in detail how to combine particle swarm optimization algorithm with decoupling and optical matching problem of solenoid snake to design it quickly and optimally, and presents the design results. The results show that the optimization design of solenoid snake based on particle swarm optimization algorithm is effective and efficient.
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图 2 粒子群算法优化设计蛇装置流程图
Figure 2. Flow chart of snake device design by particle swarm optimization
图 3 粒子群分布随算法迭代进展的变化情况
Figure 3. Change of particle swarm distribution with the progress of algorithm iteration
图 5 蛇装置内β函数在螺线管开启和关闭时的对比
Figure 5. Comparison of the betatron functions in the snake device when the solenoid is turned on and turned off
图 6 稳定自旋方向（n轴）各分量沿环分布情况
Figure 6. Distribution of the components of the stable spin direction (n axis) along the ring
图 7 ±I蛇和±L蛇装置的自旋透明特性对比
Figure 7. Comparison of spin transparency characteristics of ±I snake and ±L snake devices
图 8 蛇装置打开和关闭时的动力学孔径比较
Figure 8. Comparison of dynamic aperture when snake is turned on and off
表 1 ±I螺线管蛇装置主要设计参数
Table 1. Main design parameters of ±I solenoid snake
solenoid ks /m−1 solenoid L/m K1/m−2 Q1 Q2 Q3 Q4 snake on 0.8722 1.8×2 2.38494523 − 1.78215169 0.12879834 2.08811998 snake off 0 1.8×2 2.24210204 − 2.69629201 2.93748997 0.07303464 
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