6.4

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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