Study of beam decoherence in the presence of head-tail instability using a two-particle model

摘要

The decoherence behavior of a beam centroid motion after a kick is studied using a two-particle model. A simple theory based on averaging of the governing equation is developed. The effects of a finite chromaticity and synchrotron motion are taken into account. Increasing the tune spread in the beam, a transition from a head-tail instability to a stable decay of an initial kick is explicitly demonstrated.