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

Source

C++ header: MuoniumDecouplingCurve.h

C++ source: MuoniumDecouplingCurve.cpp