Critical-Point Behavior of a Model Describing a System of Interacting Fermions

An analysis is given of the critical-point behavior of the two-parameter model which was previously shown to yield results which agree with ${\mathrm{He}}^3$ data for the second virial coefficient and for the coexistence curve. The critical-point exponents of the model are calculated and found to be the same as those for a classical van der Waals gas. With the exception of the exponent characterizing the specific-heat singularity, the results agree reasonably well with published data on ${\mathrm{He}}^3$.