6D ionization cooling channel with resonant dispersion generation

Y. Alexahin, K. Yonehara
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引用次数: 8

Abstract

For muons with preferable for ionization cooling momentum <300MeV/c the longitudinal motion is naturally undamped. In order to provide the longitudinal damping a correlation between muon momentum and transverse position - described in terms of the dispersion function - should be introduced. In the present report we consider the possibility of dispersion generation in a periodic sequence of alternating solenoids (FOFO channel) by choosing the tune in the second passband (i.e. above half-integer per cell) and tilting the solenoids in adjacent cells in the opposite direction. Analytical estimates for equilibrium emittances and cooling rates are presented.
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具有共振色散产生的6D电离冷却通道
对于电离冷却动量<300MeV/c的μ子,其纵向运动自然是无阻尼的。为了提供纵向阻尼,应该引入介子动量和横向位置之间的相关性——用色散函数来描述。在本报告中,我们考虑了在交替螺线管(FOFO通道)周期序列中色散产生的可能性,方法是选择第二通带中的调谐(即每个单元高于半整数)并将相邻单元中的螺线管向相反方向倾斜。给出了平衡辐射和冷却速率的分析估计。
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