强空间电荷的头尾模
Head-Tail Modes for Strong Space Charge
摘要：
头尾模式描述的空间电荷的调谐偏移显着超过同步加速器调谐。导出了该模式的一般方程。的模式，它们的频率，和相干增长率的空间形状进行了探索。还发现了朗道阻尼率，解释了空间电荷对横模耦合不稳定性的抑制作用。
英文摘要：
The head-tail modes are described for the space charge tune shift significantly exceeding the synchrotron tune. A general equation for the modes is derived. The spatial shapes of the modes, their frequencies, and coherent growth rates are explored. The Landau damping rates are also found. The suppression of the transverse mode coupling instability by the space charge is explained.
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