  We study the lattice QCD $\Lambda_c N$ phase shifts for the $^3S_1-{}^3D_1$
coupled channel using both the leading order covariant chiral effective theory
and the next-to-leading order non-relativistic chiral effective field theory.
We show that although it is possible to describe simultaneously the $^3S_1$ and
$^3D_1$ phase shifts and the inelasticity $\eta_1$, the fitted energy range is
pretty small, only up to $E_\mathrm{c.m.}=5$ MeV. This raises concerns
regarding the consistency between leading/next-to-leading order chiral
effective field theory and the lattice QCD simulations.
