Abstract

A numerical simulation of a possible coherent beam-beam instability of the head-tail type is presented. The studied model employs a linearized coherent beam-beam interaction and takes complete account of the bunch length, including the deformation of the colliding bunches during their overlap. Measured head-tail mode spectra from the VEPP-2M collider are compared with the results of the analytical model and tracking. A computer code for evaluation of the coherent mode increments, which was used for analysis of possible ways to stabilize the beam-beam system, is described.

Highlights

  • Beam-beam effects, which are the main phenomena limiting the luminosity of modern colliders, have been the focus of accelerator physicists’ attention for a long time [1]

  • The residual coherent beam-beam interaction from separated e1e2 beams is known to enhance the head-tail instability caused by the transverse impedance in the LEP collider [8], and numerical studies of this combined effect were done using a model where the bunch length was neglected in calculating the beam-beam kick, i.e., for the case of a bunch much shorter than the beta-function value, b‫ء‬, at the interaction point (IP) [9]

  • The ring is divided into N mesh elements, each characterized by its transverse dipole moment and its synchrotron phase

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Summary

INTRODUCTION

Beam-beam effects, which are the main phenomena limiting the luminosity of modern colliders, have been the focus of accelerator physicists’ attention for a long time [1]. A computer simulation using particle tracking becomes an important tool for analysis of the beam-beam system Another way to solve the problem is by system simplification; in particular, for small betatron oscillation amplitudes, it is often allowable to linearize the transverse force exerted by the beams on each other. The residual coherent beam-beam interaction from separated e1e2 beams is known to enhance the head-tail instability caused by the transverse impedance in the LEP collider [8], and numerical studies of this combined effect were done using a model where the bunch length was neglected in calculating the beam-beam kick, i.e., for the case of a bunch much shorter than the beta-function value, b‫ء‬, at the interaction point (IP) [9].

CIRCULANT MATRIX METHOD
Tracking algorithm
Dipole moment storage
Data postprocessing
SYNCHROBETATRON MODES OF THE BEAM-BEAM SYSTEM
IMPEDANCE
LINAC-RING COLLISIONS
Findings
CONCLUSIONS

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