  Recently the leading order of the correlation energy of a Fermi gas in a
coupled mean-field and semiclassical scaling regime has been derived, under the
assumption of an interaction potential with a small norm and with compact
support in Fourier space. We generalize this result to large interaction
potentials, requiring only $|\cdot| \hat{V} \in \ell^1 (\mathbb{Z}^3)$. Our
proof is based on approximate, collective bosonization in three dimensions.
Significant improvements compared to recent work include stronger bounds on
non-bosonizable terms and more efficient control on the bosonization of the
kinetic energy.
