Abstract
We determine the intensity of the nuclear multiphoton sidebands to the forbidden components of the 14.4-keV M\ossbauer transition in $^{57}\mathrm{Fe}$, generated by the application of radio-frequency magnetic fields to ferromagnetic samples, in the presence of static magnetic fields. Further we determine the intensity of the second-order sidebands to the 14.4-keV transition in the case known as the radio-frequency collapse, when the entire hyperfine magnetic field acting on the $^{57}\mathrm{Fe}$ nuclei follows the oscillations of the applied radio-frequency field. Then we discuss a number of characteristic asymmetries due to quantum interference, appearing in the multiphoton radio-frequency sideband spectra.
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