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$^{19}$F NMR measurements in SmFeAsO$_{1-x}$F$_x$, for $0.15\leq x\leq 0.2$,are presented. The nuclear spin-lattice relaxation rate $1/T_1$ increases uponcooling with a trend analogous to the one already observed inCeCu$_{5.2}$Au$_{0.8}$, a quasi two-dimensional heavy-fermion intermetalliccompound with an antiferromagnetic ground-state. In particular, the behaviourof the relaxation rate either in SmFeAsO$_{1-x}$F$_x$ or inCeCu$_{5.2}$Au$_{0.8}$ can be described in the framework of the self-consistentrenormalization theory for weakly itinerant electron systems. Remarkably, noeffect of the superconducting transition on $^{19}$F $1/T_1$ is detected, aphenomenon which can hardly be explained within a single band model.

Coupling between 4f and itinerant electrons in SmFeAsO1-xFx (0.15 < x < 0.2) superconductors: an NMR study