.. index:: ZFMuonium
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 .
.. plot:: from mantid.simpleapi import FunctionWrapper import matplotlib.pyplot as plt import numpy as np x = np.arange(0.1,16,0.1) y = FunctionWrapper("ZFMuonium") fig, ax=plt.subplots() ax.plot(x, y(x)) ax.set_xlabel('t($\mu$s)') ax.set_ylabel('A(t)')
.. attributes::
.. properties::
[1] P. Percival, TRIUMF Summer Institute 2011.
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.. sourcelink::