  We extract the leading effective range corrections to the equation of state
of the unitary Fermi gas from ab initio fixed-node quantum Monte Carlo (FNQMC)
calculations in a periodic box using a density functional theory (DFT), and
show them to be universal by considering several two-body interactions.
Furthermore, we find that the DFT is consistent with the best available
unbiased QMC calculations, analytic results, and experimental measurements of
the equation of state. We also discuss the asymptotic effective-range
corrections for trapped systems and present the first QMC results with the
correct asymptotic scaling.

Quantum Gases;Nuclear Theory