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

Python: ZFMuonium.py (last modified: 2020-03-20)