BAGELS：一种最小化电子储存环中辐射退极化率的通用方法
BAGELS: A General Method for Minimizing the Rate of Radiative Depolarization in Electron Storage Rings
AI总结：
针对电子储存环辐射退极化问题，提出基于响应矩阵奇异值分解筛选高效垂直校正线圈组的BAGELS方法，并在18 GeV ESR模拟中显著提升极化。
摘要：
我们提出了一种通过在弧区中使用垂直轨道凸轨来最小化电子储存环中辐射退极化效应的新方法。电子极化由弯转磁铁中所谓自旋轨道耦合函数的均方根直接表征。在电子-离子对撞机（EIC）的电子储存环（ESR）中，正如在HERA中的情况一样，该函数由自旋旋转器激发。弧区中的各个垂直校正线圈对该函数在全局范围内可能具有不同影响。在该方法中，我们利用自旋-轨道耦合函数对每个线圈的响应矩阵进行奇异值分解，以定义数量最少且最有效的线圈组，这促成了“Best Adjustment Groups for ELectron Spin”（BAGELS，电子自旋最佳调整组）方法这一名称。BAGELS方法可用于最小化理想晶格中的退极化效应，并获得微调旋钮，以在具有实际闭轨畸变的环中恢复这种最小化。此外，在不希望影响极化的其他应用中，例如全局耦合补偿或垂直发射度产生，可以转而选择效果最差的组。BAGELS方法的应用在18 GeV ESR的模拟中显著提高了极化，超过了传统方法可实现的水平。
英文摘要：
We present a novel method for minimizing the effects of radiative depolarization in electron storage rings by use of vertical orbit bumps in the arcs. Electron polarization is directly characterized by the RMS of the so-called spin orbit coupling function in the bends. In the Electron Storage Ring (ESR) of the Electron-Ion Collider (EIC), as was the case in HERA, this function is excited by the spin rotators. Individual vertical corrector coils in the arcs can have varying impacts on this function globally. In this method, we use a singular value decomposition of the response matrix of the spin-orbit coupling function with each coil to define a minimal number of most effective groups of coils, motivating the name "Best Adjustment Groups for ELectron Spin" (BAGELS) method. The BAGELS method can be used to minimize the depolarizing effects in an ideal lattice, and to obtain fine-tuning knobs to restore the minimization in rings with realistic closed orbit distortions. Furthermore, the least effective groups can instead be chosen for other applications where no impact on polarization is desirable, e.g. global coupling compensation or vertical emittance creation. Application of the BAGELS method has significantly increased the polarization in simulations of the 18 GeV ESR, beyond achievable with conventional methods.
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