Optimization of Electrostatic Quadrupole Profile to Reduce Image Charge Effects

TL;DR

This paper presents a quantitative method for optimizing electrostatic quadrupole profiles to significantly reduce image charge effects, thereby improving the accuracy of electric dipole moment experiments in storage rings.

Contribution

It introduces a novel optimization approach for electrostatic quadrupole profiles to suppress image charge effects in storage ring experiments.

Findings

Vertical electric fields can be reduced by two orders of magnitude with optimized profiles.

The optimization is effective across various beam offsets and sizes.

Profile optimization enhances experimental accuracy in electric dipole moment measurements.

Abstract

Vertical electric fields need to remain orders of magnitude smaller than the horizontal electric field in storage ring electric dipole moment experiments. Otherwise, the coupling with the magnetic dipole moment dominates the spin precession, eventually leading to a false signal. This work presents first quantitative studies regarding electrostatic quadrupole profile optimization, which helps suppressing image beam induced vertical electric fields. Besides the demonstration of the profile optimization, its suppression performance is also studied for various beam offsets and beam size configurations. It is found that with the optimum profile, the vertical electric field can be reduced by two orders of magnitude.