Electrostatic Storage Ring

TL;DR

This paper discusses the design and parameters of electrostatic storage rings for proton electric moment measurements, introducing a non-null matrix element and analyzing its implications for beam focusing.

Contribution

It provides an overview of electrostatic storage ring focusing parameters and introduces a new element in the transfer matrices affecting beam dynamics.

Findings

Confirmation of key issues in electrostatic focusing

Introduction of a non-zero matrix element M_{31}

Discussion of its role in beam transfer matrices

Abstract

In the trial \cite{BNL} of measuring the proton electric moment, storage rings with electrostatic lattice have been considered. Here an overview is given about the main parameters regarding such a kind of focusing. Beyond confirming all the issues regarding this subject, a non-null element $M_{31}$ is introduced in all the $3\times 3$ matrices which deal with the vector $(x,x',\Delta p/p)$ and its role is discussed.