Effect of the thermal relaxation of a lattice mode on the Mössbauer radiation

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Abstract
The spectral distribution of the Mössbauer radiation emitted from a radiating nucleus when it is in the excited vibrational level of a lattice normal mode has been considered theoretically. In obtaining the results, the relevant correlation functions, which include the thermal relaxation of phonons, are calculated in the harmonic approximation. Results are presented for the line shapes of the zero-, one-, and two-phonon-assisted Mössbauer transitions. The "relaxation splitting" is absent in our results and the narrowing of the zero-phonon Mössbauer line never exceeds ∼8% of the natural linewidth.