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Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculatedensity correlation function of the degenerate Fermi gas at infinite scatteringlength to next-to-leading order in $\epsilon$ for excitation energies belowquasi particle threshold. An expression for the low energy dynamic structurefunction is derived.

Low energy density correlation function of the degenerate unitary Fermi gas from epsilon expansion