The Touschek Effect in Strong Focusing Storage Rings

TL;DR

This paper presents a comprehensive calculation of the Touschek effect's impact on beam lifetime in strong focusing storage rings, accounting for beam envelope variations and arbitrary energies.

Contribution

It introduces a generalized method for calculating the Touschek effect considering beam envelope derivatives and arbitrary energy levels.

Findings

Provides a formula for beam lifetime considering envelope variations.

Applicable to arbitrary beam energies and focusing configurations.

Enhances accuracy of lifetime predictions in storage ring design.

Abstract

The lifetime of a stored beam due to the Touschek effect is calculated for arbitrary ratios of beam height to beam width. A variation of the beam envelopes is taken into account, i.e. the derivatives of the horizontal and vertical amplitude functions and dispersions are included. The calculation is done for arbitrary energies in the rest frame of the colliding particles.