Abstract
We show that under certain conditions a longitudinal mismatch between an electron and a hadron beam in a coherent electron cooling (CeC) scheme creates a circular attractor in the longitudinal phase space of the cooled hadrons. Formation of an attractor completely stops the cooling and results in anticooling (“heating”) causing small synchrotron amplitudes to grow to the attractor’s radius, rather than being damped. We present a theory of this effect, compare the analytical results with simulations and derive tolerances to possible sources of the longitudinal mismatch. We further show that under certain conditions a “weak” attractor, affecting hadrons with large synchrotron amplitudes, can appear in the hadrons’ longitudinal phase space and explain that formation of such an attractor does not require the presence of any mismatches.
- Received 20 August 2021
- Accepted 6 May 2022
DOI:https://doi.org/10.1103/PhysRevAccelBeams.25.054403
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Published by the American Physical Society