We have measured the relaxation of energy and polarization m in transiently polarized liquid 3 He. From these measurements we deduce the value of the magnetic field necessary to stabilize m. This field is shown to be higher than the extrapolation of the low-field regime, and amounts to 200 T at m =0.6, r = 70mK, /> =26 bars.PACS numbers: 67.50.-b Liquid He has long been recognized as a model system of a strongly correlated Fermi liquid. Beyond the famous phenomenological Landau theory, several microscopic models aim to account for the physical properties of this system. Among them, the "nearly localized" model 1 and paramagnon theory, 2 respectively, ascribe the strong enhancements (compared to a free Fermi gas) of the specific heat and the magnetic susceptibility to the proximity of either a Mott transition or a ferromagnetic instability. Measuring the magnetic susceptibility x of liquid 3 He up to very high polarizations has been suggested as a crucial step in determining which approach is most suitable, 3 but only small polarizations m (m < 12%) can be reached in a static magnetic field ( < 30 T). Transient experiments are possible anyway, since the relaxation of the liquid polarization is a slow process (7*1 -10-1000 s). 3,4 Large polarizations can be obtained in the liquid by melting solid 3 He, previously polarized at low temperature (T-~5 mK) in a large magnetic field (^-10 T). T\ is then much longer than any other microscopic relaxation time of the system; this allows one to perform thermodynamic measurements as a function of the slowly varying magnetization. A number of experiments have been performed, using this method proposed by Castaing and Nozieres 3 (CN), resulting in contradictory conclusions about the magnetic behavior of the liquid. We stress that none of them allows direct investigation of x-Melting-pressure measurements 5,6 suggest a peak in x around m -20% (Ref. 7) (as expected from the "nearly localized model"), but in this case one deals with a mixture of liquid and solid, where a specific hypothesis must be made to relate the average polarization to that of the liquid. 8 Viscosity measurements 9^'10 would favor a decrease in x with w, consistent with the paramagnon model. 11 But there one measures a transport coefficient, which is related to x only through a specific hypothesis. The sound-velocity measurement 12 did not give conclusive information about x* 13 We report a direct investigation of the relationship between m and the magnetic field B m , with which m would be at equilibrium. This investigation is performed at sufficiently low temperature for the liquid to be degenerate (T < 0.1 K). It is carried out by measuring the relaxation of the polarization and the relaxational heating. Indeed, for each flipped spin an energy given by the difference between the chemical potentials of up and down spins is released as heat. This amounts 3 to 2jd n (B m -B a ), where B a is the applied field and fi n the magnetic moment of 3 He. Then, for n atoms heat is produced irreversibly at a rate giv...