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This document delves into the stability criterion of electron clouds in the SNS (Spallation Neutron Source) as outlined by Ohmi and Pivi. It presents the dispersion relation, indicating that when U > 0, the system becomes unstable. For specific parameters, UL is set at 0.1 and UH at 4.0. The analysis also covers the wake field effects influenced by the electron cloud, contributing to an understanding of the complexities in stability within accelerator physics.
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