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ZFMuonium¶

Description¶

ZF rotation for axial muonium

\[A(t)=\frac{A_0}{6}\{A_1\cos(\omega_{1}+\phi)+A_2\cos(\omega_{2}+\phi)+A_{3}\cos(\omega_{3}+\phi)\}\]

and,

\[\delta= \frac{\chi}{\sqrt{1+\chi^2}},\]

\[\omega_{1}= 2\pi(\text{FreqA} - \text{FreqD}),\]

\[\omega_{2}= 2\pi\left(\text{FreqA} + \frac{\text{FreqD}}{2}\right),\]

\[\omega_{3}= 3\pi \text{FreqD},\]

\[A_{i}=\frac{1}{(1+(\omega_{i}/(2\pi F_\text{cut}))^2)}, 0<i<4\]

where,

\(A_0\) is the amplitude,

FreqA (MHz) is the isotropic hyperfine coupling constant,

FreqD (MHz) is the anisotropic hyperfine coupling constant,

\(F_\text{cut}\) is the frequency cut,

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

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

Categories: FitFunctions | Muon\MuonSpecific