利用谐波滑移叠加增强动力学稳定性
Enhanced Dynamical Stability with Harmonic Slip-stacking
摘要：
我们发展了一种射频腔的配置，以大幅改善滑移堆叠的效能。滑移堆积是费米实验室使用的一种积累技术，通过在同一个储存环中保持两个不同动量的光束，使质子强度几乎加倍。两个粒子束在回收器中通过两个53 MHz 100 kV射频腔纵向聚焦，两个腔之间的频率差很小。我们提出了一个额外的106 MHz的20千伏射频腔的频率在两倍的平均值的上限和下限的主要射频频率。我们发现谐波射频腔抵消了两个主射频腔之间产生的谐振，我们推导出谐波射频电压和主射频电压之间的关系。我们找到的面积因子，可以用来计算可用的相空间面积的任何一组光束参数，而无需单独的模拟。我们建立了助推器光束质量要求，以实现99%的滑移堆叠效率。我们测量的助推器光束的纵向分布，并使用它来生成一个真实的梁模型滑移堆叠模拟。我们证明了谐波射频腔不仅可以减少粒子在滑移堆积过程中的损耗，而且可以降低最终的纵向发射度。
英文摘要：
We develop a configuration of radio-frequency (rf) cavities to dramatically improve the performance of slip-stacking. Slip-stacking is an accumulation technique used at Fermilab to nearly double proton intensity by maintaining two beams of different momenta in the same storage ring. The two particle beams are longitudinally focused in the Recycler by two 53 MHz 100 kV rf cavities with a small frequency difference between them. We propose an additional 106 MHz 20 kV rf cavity with a frequency at the double the average of the upper and lower main rf frequencies. We show the harmonic rf cavity cancels out the resonances generated between the two main rf cavities and we derive the relationship between the harmonic rf voltage and the main rf voltage. We find the area factors that can be used to calculate the available phase space area for any set of beam parameters without individual simulation. We establish Booster beam quality requirements to achieve 99\% slip-stacking efficiency. We measure the longitudinal distribution of the Booster beam and use it to generate a realistic beam model for slip-stacking simulation. We demonstrate that the harmonic rf cavity can not only reduce particle loss during slip-stacking, but also reduce the final longitudinal emittance.
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