On Compensating Tune Spread Induced by Space Charge in Bunched Beams

TL;DR

This paper proposes a novel method using a co-propagating electron bunch with mismatched velocity to compensate for space charge-induced tune spread in bunched beams, addressing a gap in existing compensation schemes.

Contribution

It introduces a new approach for tune spread compensation in bunched beams using a co-propagating electron bunch with mismatched velocity, which was not previously explored.

Findings

The proposed method can effectively reduce tune spread in bunched beams.

Practical examples demonstrate the feasibility of the electron bunch compensation system.

The approach offers potential improvements for accelerator performance and luminosity.

Abstract

Space charge effects play significant role in modern-day accelerators. These effects frequently constrain attainable beam parameters in an accelerator - or - in an accelerator chain. They also could limit the luminosity of hadron colliders operating either at low energies or with a sub-TeV high brightness hadron beams. A number of schemes for compensating space charge effects in a coasting (e.g. continuous) hadron beam were proposed and some of them had been tested. But all of these methods do not address the issue of tune spread compensation of a bunched hadron beam, e.g. the tune shift dependence on the longitudinal position inside the bunch. In this paper we propose and evaluate a novel idea of using a co-propagating electron bunch with miss-matched longitudinal velocity to compensate the space charge induced tune-shift and tune spread. We present a number of practical examples of such system.