Semi-empirical analysis of leptons in gases in crossed electric and magnetic fields, Part II: Transverse compression of muon beams

TL;DR

This paper uses fluid equations to analyze muon beam compression in gases under crossed electric and magnetic fields, proposing optimal conditions for maximizing beam density in helium gas.

Contribution

It introduces a general criterion for beam compression and applies it to muons in helium, using an innovative aliasing method to overcome data limitations.

Findings

Derived a criterion for maximum beam compression

Identified optimal experimental conditions for muons in helium

Proposed a method to use available transport data via aliasing

Abstract

This article employs fluid equations to analyse muon beams in gases subject to crossed electric and magnetic fields, focussing in particular on a scheme proposed by D. Taqqu in 2006, whereby transverse compression of the beam is achieved by creating a density gradient in the gas. A general criterion for maximising beam compression, derived from first principles, is then applied to determine optimal experimental conditions for {\mu ^ +} in helium gas. Although the calculations require input of transport data for ({\mu ^ +}, He), which are generally unavailable, this issue is circumvented by "aliasing" ({\mu ^ +}, He) with (H{^ +}, He), for which transport coefficient data are available.