Effect of space charge on transverse instabilities in synchrotrons

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Abstract
The effect of space charge on transverse instabilities in synchrotrons is considered. In addition to the coherent forces produced by image currents on the vacuum chamber walls, there are direct particle-particle forces that can significantly decrease the incoherent tune. Both types of space-charge force are a function of longitudinal position within a bunch, being proportional to the instantaneous current. In the low- and very-high-intensity regimes we find that the space-charge forces tend to reduce growth rates. A technique for the intermediate-intensity range, which includes the effect of incoherent space-charge tune spread, is introduced.

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