\(\renewcommand\AA{\unicode{x212B}}\)

HighTFMuonium

Description

Pair of high TF muonium rotation frequencies.

\[A(t)=\frac{A_0}{2}(\cos(\omega_1t+\phi)+\cos(\omega_2t+\phi))\]

where,

\(A_0\) is the amplitude at time \(t=0\) ,

\(g_\mu = 0.01355342\) ,

\(g_e = 2.8024\) ,

\(\omega_2 = \Omega - \omega_-\) ,

\(\omega_1 = \omega_2 + 2\pi\nu\) ,

\(\omega_- = 2\pi(g_e - g_m)B\) ,

\(\Omega = 2\pi\left(\frac{1}{2}\sqrt{(\nu^2+((g_e+g_m)B)^2)} - \frac{1}{2}\nu\right)\)

and \(\nu\) is the frequency (MHz).

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

../../_images/HighTFMuonium-1.png

Properties (fitting parameters)

Name

Default

Description

A0

0.1

Field

100.0

Magnetic field (G)

Freq

0.2

Isotropic hyperfine coupling constant (MHz)

Phi

0.0

Phi (rad)

References

[1] P. Percival, Radiochimica Acta 26 1-14 (1979).

Categories: FitFunctions | Muon\MuonSpecific

Source

Python: HighTFMuonium.py