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An ultracold Fermi gas with a zero-range attractive potential in the unitarylimit is investigated using variational and diffusion Monte Carlo methods.Previous calculations have used a finite range interactions and extrapolate theresults to zero-range. Here we extend the quantum Monte Carlo method todirectly use a zero-range interaction without extrapolation. We employ a trialwave function with the correct boundary conditions, and modify the samplingprocedures to handle the zero-range interaction. The results are reliable andhave low variance.

Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction