  We discuss the Hubbard model in an applied magnetic field and analyze the
properties of neutral spin-1/2 fermions within the so-called statistically
consistent Gutzwiller approximation (SGA). The magnetization curve reproduces
in a semiquantitative manner the experimental data for liquid 3 He in the
regime of moderate correlations and in the presence of small number of vacant
cells, modeled by a non-half filled-band situation, when a small number of
vacancies (up to 5%) is introduced in the virtual fcc lattice. We also present
the results for the magnetic susceptibility and the specific heat, in which a
metamagnetic-like behavior is also singled out in a non-half-filled band case.
