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A full phonon intensity cancellation is reported in a longitudinal polarizedinelastic neutron scattering experiment performed on the magnetocaloriccompound MnFe$_{4}$Si$_{3}$, a ferromagnet with $T_{Curie}$ $\approx$ 305 K.The TA[100] phonon polarized along the $c$-axis measured from the Brillouinzone center $\textbf{G}$=(0, 0, 2) is observed only in one ($\sigma_{z}^{++}$)of the two non-spin-flip polarization channels and is absent in the other one($\sigma_{z}^{--}$) at low temperatures. This effect disappears at highertemperatures, in the vicinity of $T_{Curie}$, where the phonon is measured inboth channels with nonetheless marked different intensities. The effect isunderstood as originating from nuclear-magnetic interference between thenuclear one-phonon and the magnetovibrational one-phonon scatteringcross-sections. The total cancellation reported is accidental, i.e. does notcorrespond to a systematic effect, as established by measurements in differentBrillouin zones.

Total interference between nuclear and magnetovibrational one-phonon scattering cross sections