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We have performed $^{77}$Se NMR on a single crystal sample of the fieldinduced superconductor $\lambda$-(BETS)$_{2}$FeCl$_{4}$. Our results obtainedin the paramagnetic state provide a microscopic insight on the exchangeinteraction $J$ between the spins \textbf{s} of the BETS $\pi$ conductionelectrons and the Fe localized $d$ spins \textbf{S}. The absolute value of theKnight shift \textbf{K} decreases when the polarization of the Fe spinsincreases. This reflects the ``negative'' spin polarization of the $\pi$electrons through the exchange interaction $J$. The value of $J$ has beenestimated from the temperature and the magnetic field dependence of \textbf{K}and found in good agreement with that deduced from transport measurements (L.Balicas \textit{et al}. Phys. Rev. Lett. \textbf{87}, 067002 (2001)). Thisprovides a direct microscopic evidence that the field induced superconductivityis due to the compensation effect predicted by Jaccarino and Peter (Phys. Rev.Lett. \textbf{9}, 290 (1962)). Furthermore, an anomalous broadening of the NMRline has been observed at low temperature, which suggests the existence ofcharge disproportionation in the metallic state neighboring the superconductingphase.

$^{77}$Se NMR evidence for the Jaccarino-Peter mechanism in the field induced superconductor, $\lambda$(BETS)$_2$FeCl$_4$}