Collective effects of beam-beam interaction in a synchrotron collider

Abstract

The effects of the beam‐beam interaction on particle dynamics in a synchrotron collider are investigated. The main highlight of this work is the investigation of collective effects of the beam‐beam interaction in a self‐consistent approach that naturally incorporates the correct single particle dynamics. The most important target of this simulation is to understand and predict the long‐time (108–109 rotations) behavior of the beam luminosity and lifetime.For this task a series of computer codes in one spatial dimension have been developed in increasing order of sophistication. They are: the single particle dynamics tracking code, the strong‐strong particle‐in‐cell (PIC) code, and the particle code based on the δ f algorithm. The latter two include the single particle dynamics of the first. The third approach is used to understand beam lifetime by improving the numerical noise problem in the second.Scans in tune ν0 and tune shift Δν0 show regions of stability and instability that correspond to the regions ...