A brief overview is given of the recent work done by the beam-physics group of Hiroshima University on resonant beam instabilities in high-intensity hadron rings. Emphasis is placed upon two essentially different instability mechanisms, namely, coherent and incoherent resonances that occur respectively in the beam core and in the beam tail. On the basis of a semi-empirical coherent resonance condition, a simple rule is introduced to construct a new type of stability map. The proposed diagram enables one to find the optimum operating region of any circular machine in the betatron tune space very easily and quickly.

中文翻译：

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高强度强子环中的相干和非相干空间电荷效应

简要概述了广岛大学的束流物理学小组最近所做的有关高强度强子环中共振束不稳定性的工作。重点放在两个本质上不同的不稳定机制上，即分别发生在束芯和束尾中的相干和不相干共振。在半经验相干共振条件的基础上，引入简单的规则来构造新型的稳定性图。拟议的图表使人们能够非常轻松，快速地找到电子感应加速器调谐空间中任何圆形机器的最佳工作区域。