Abstract
This paper investigates the possibility for suppression of the head–tail instability in an electron storage ring using a bunch-by-bunch transverse feedback system. General conditions are found whereby the Gaussian bunch profile may be modeled by a two-particle system which interacts with the vacuum chamber broadband impedance. We choose the kick factor received by a Gaussian bunch with the rms bunch length σt, from a broadband impedance with the resonance frequency ωr and quality factor Qr, as the relevant parameter and explain why the kick factor depends on ωrσt∕Qr. Finally, we demonstrate that a Gaussian bunch can be modeled by a two-particle system when the parameter ωrσt∕Qr is sufficiently small.
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