Abstract
An electron cloud causes various effects in high intensity positron storage rings. Positron beam and electron cloud can be considered a typical two stream system with a plasma frequency. Beam-beam effect is also an important issue for high luminosity circular colliders. Colliding two beams are considered as a two-stream system with another plasma frequency. We study combined phenomena of the beam-electron cloud and beam-beam effects from a viewpoint of two complex ''two stream effects'' with two plasma frequencies.
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