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We use quantum Monte Carlo, including backflow corrections, to investigate atwo-component Fermi gas on the upper branch of a Feshbach resonance andcontrast it with the hard sphere gas. We find that, in both cases, the Fermiliquid becomes unstable to ferromagnetism at a $k_F a$ smaller than the meanfield result, where $k_F$ is the Fermi wavevector and $a$ the scatteringlength. Even though the total energies $E(k_F a)$ are similar in the two cases,their pair correlations and kinetic energies are completely different,reflecting the underlying potentials. We discuss the extent to which ourcalculations shed light on recent experiments.

Ferromagnetism in repulsive Fermi gases: upper branch of Feshbach resonance versus hard spheres