滑移堆积粒子的动力学稳定性
Dynamical Stability of Slip-stacking Particles
摘要：
我们研究了费米实验室中用于使质子束流强度增加近一倍的滑移堆积结构中粒子的稳定性。我们引入通用的面积因子来计算任何一组光束参数的可用相空间面积，而无需单独的模拟。我们找到稳定粒子轨迹的微扰解。我们建立了助推器光束质量要求，以实现97%的滑移堆叠效率。我们表明，滑移叠加动力学直接对应于驱动摆和两个驻波陷阱相对于彼此移动的系统。
英文摘要：
We study the stability of particles in slip-stacking configuration, used to nearly double proton beam intensity at Fermilab. We introduce universal area factors to calculate the available phase space area for any set of beam parameters without individual simulation. We find perturbative solutions for stable particle trajectories. We establish Booster beam quality requirements to achieve 97\% slip-stacking efficiency. We show that slip-stacking dynamics directly correspond to the driven pendulum and to the system of two standing-wave traps moving with respect to each other.
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