• Corpus ID: 102344460

# Form Factor $g$ In Longitudinal Space Charge Impedance

@article{Baartman2015FormF,
title={Form Factor \$g\$ In Longitudinal Space Charge Impedance},
author={Richard Baartman},
journal={arXiv: Accelerator Physics},
year={2015}
}
• R. Baartman
• Published 1 August 2015
• Physics
• arXiv: Accelerator Physics
In carrying out calculations of the effect of longitudinal space charge on longitudinal motion, the transverse beam size appears in a form factor which is usually written as $g=1+2\ln (b/a)$. In fact, this expression applies to particles with vanishing betatron amplitude in a beam with uniform transverse distribution. It is argued that an average over the transverse distribution should be used instead of the value on axis. It is shown that for the realistic `binomial' family of distributions…