Efficiency of feedbacks for suppression of transverse instabilities of bunched beams

TL;DR

This paper investigates optimal feedback gain, phase, and chromaticity settings for suppressing transverse instabilities in bunched beams using three different models, including a two-particle model and advanced Vlasov solvers.

Contribution

It provides a comparative analysis of feedback parameters and chromaticity effects across multiple models for beam stability enhancement.

Findings

Optimal gain and phase settings depend on the model and beam conditions.

Chromaticity plays a crucial role in instability suppression.

Results guide the tuning of feedback systems in particle accelerators.

Abstract

Which gain and phase have to be set for a bunch-by-bunch transverse damper, and at which chromaticity it is better to stay? These questions are considered for three models: the two-particle model with possible quadrupole wake, the author's Nested Head-Tail Vlasov solver with a broadband impedance, and the same with the LHC impedance model.