Longitudinal rms emittance preservation during adiabatic capture for Gaussian beams

TL;DR

This paper analyzes how rms emittance of Gaussian beams is preserved during adiabatic bunching in synchrotrons, providing a relation that simplifies predicting post-bunching emittance without extensive simulations.

Contribution

It introduces a new constant factor relating initial and final rms emittance during adiabatic bunching, enabling quick calculations and improved beam control.

Findings

Derived a relation between initial and final rms emittance.

Identified a constant factor for emittance prediction.

Enabled estimation of bucket area for desired filling ratios.

Abstract

This paper presents an analysis of the emittance preservation during a heavy ion bunching process. This analysis aims at finding the correlation between the rms emittance of a coasting beam and that of the resulting bunches. The emittance of a Gaussian coasting beam bunched adiabatically in synchrotrons is investigated using theoretical considerations and particle tracking simulations. New results are presented on the relation between the emittance before and after the bunching process. It is found that a constant factor can be determined to describe this relation. This factor can be used to avoid time-consuming simulations. If the rms emittance is known before the bunching process, it can be calculated for the bunched beam afterwards. This also makes it possible to determine the required bucket area for a certain filling ratio.