$$\renewcommand\AA{\unicode{x212B}}$$

# Muonium-style Decoupling Curve¶

## Description¶

A Muonium-style decoupling curve is defined as:

$y = A_R\frac{0.5+(\frac{x}{B_0})^2}{1+(\frac{x}{B_0})^2}+A_\mathrm{BG}$

where

• $$A_R$$ - the repolarising asymmetry

• $$B_0$$ - the decoupling field

• $$A_\mathrm{BG}$$ - the background asymmetry

The function models the repolarisation of isotropic muonium. The x axis should be the magnetic field, typically scanned from 0 to a few kGauss. The y axis is the asymmetry.

## Examples¶

This has been used in examining the influence of strong magnetic field on the depolarizations of Muons[1] and in investigating the Paschen-Back Effect as a means of detecting Muonium[2].

## Properties (fitting parameters)¶

Name

Default

Description

RepolarisingAsymmetry

0.2

coefficient for the repolarising asymmetry

DecouplingField

500.0

coefficient for magnetic field rescaling

BackgroundAsymmetry

0.0

coefficient for the background asymmetry

## References¶

[1] Orearm J. and Harris, G. and Bierman, E. (1957) Influence of Strong Magnetic Field on Depolarization of Muons, Phys. Rev., Vol 107 Issue 1, 322-323 doi: 10.1103/PhysRev.107.322 <https://doi.org/10.1103/PhysRev.107.322> [2] Ferrell, R. A. and Chaos, F. (1957) Paschen-Back Effect as a Means of Detecting Muonium, Phys. Rev., Vol 107 Issue 5, 1322-1323 doi: 10.1103/PhysRev.107.1322 <https://doi.org/10.1103/PhysRev.107.1322>

Categories: FitFunctions | Muon\MuonModelling