ZFMuonium

Description

ZF rotation for axial muonium

A(t)=A06{A1cos(ω1+ϕ)+A2cos(ω2+ϕ)+A3cos(ω3+ϕ)}

and,

δ=χ1+χ2,
ω1=2π(FreqAFreqD),
ω2=2π(FreqA+FreqD2),
ω3=3πFreqD,
Ai=1(1+(ωi/(2πFcut))2),0<i<4

where,

A0 is the amplitude,

FreqA (MHz) is the isotropic hyperfine coupling constant,

FreqD (MHz) is the anisotropic hyperfine coupling constant,

Fcut is the frequency cut,

and ϕ (rad) is the phase at time t=0 .

(Source code, png, hires.png, pdf)

../../_images/ZFMuonium-1.png

Properties (fitting parameters)

Name

Default

Description

A0

0.2

FreqA

0.3

Isotropic hyperfine coupling constant (MHz)

FreqD

0.2

Anisotropic hyperfine coupling constant (MHz)

FCut

1.0

Frequency cut (MHz)

Phi

0.0

Phase

References

[1] P. Percival, TRIUMF Summer Institute 2011.

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: ZFMuonium.py