We performed a systematic inelastic neutron scattering, between 4 and 620 K
, of the profiles of the anomalous acoustic and optic phonon observed in bo
th compounds in the vicinity of <(xi)over right arrow>(m) congruent to (0.5
0 0). Above T-c we find that, in both compounds, the frequencies of the ac
oustic modes decrease with decreasing temperature and there is intensity tr
ansfer from-the upper (optic) to the lower (acoustic) mode. The frequencies
of the optic modes of the Y compound, on the other hand, decrease slower t
han those of the Lu compound as the temperature decreases towards T-c and,
as a result, the two branches approach each other in the Lu compound, where
as they separate in the Y compound. In both compounds the observed phonon p
rofiles above T-c can be described satisfactorily in terms of a simple coup
le-mode model. Comparison of the phonon spectra of the two compounds below
T-c demonstrates that the sharp peak at approximately 4 meV with a broad sh
oulder at the higher-energy side, observed in both compounds, arises from t
he change in the acoustic phonon profile upon entering the superconducting
state. [S0163-1829(99)07641-9].