Abstract

Vertical instability with transient characteristics in KEK-Photon Factory electron storage ring

Highlights

  • In the Photon Factory (PF) electron storage ring, a vertical instability has been observed in a multibunch mode, in which a series of bunches followed by a series of empty buckets is stored in the ring

  • 1027͞bunch at the same condition shown in Because ions at a certain location in the storage ring are affected by a periodic focusing force with a period of trev corresponding to a configuration of the bunch train, ion motion can be discussed with a method similar to the theory of the betatron oscillation in circular accelerators

  • We calculated the theoretical values of the tune shifts along the train taking into account the modulation of ion density using Eq (12)

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Summary

INTRODUCTION

In the Photon Factory (PF) electron storage ring, a vertical instability has been observed in a multibunch mode, in which a series of bunches followed by a series of empty buckets (bunch gap) is stored in the ring. A possible cause of the phenomenon seems to be a transient ion related effect, such as the fast beam-ion instability (FBII) [2]; the measured bunch position dependence of the vertical tune was much larger than that predicted by the theory of FBII. In order to explain the phenomenon, we developed a model that shows that density of trapped ions is modulated by passage of the bunch train. The dependence was calculated using a method similar to the theory of the betatron oscillation in circular accelerators, and the tune shifts of individual bunches were estimated. The symbols in the table will be used without further notice in this paper

Bunch-by-bunch beam diagnostic system
Tune measurement
THEORY
Ion motion
Tune shifts due to trapped ions
DISCUSSION
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