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在线性近似下讨论了束流晶化过程中的周期冷却效应和电子屏蔽效应,控制离子运动的方程均为熟知的Mathieu方程。讨论了系统的稳定性和离子穿越共振线的动力学行为,并以联邦德国GSI的实验储存环为例,导出了离子穿越不同共振线的时间和束流冷却时间。In the linear approximation the effects of periodic cooling and electron screening have been discussed, the equation of motion for ions has been reduced to the well-know Mathieus equation. Stability of the system and dynamical behaviour of cross over resonances by ions have been discussed also. Taking ESR at GS1 in FRG as example, the characteristic time for cross over resonances and the cooling time for the beam have been derived.
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