${}^3{S}_1-{}^3{D}_1$ coupled channel ${\mathrm{\Lambda }}_{c}N$ interactions: chiral effective field theory vs. lattice QCD

We study the lattice QCD ${\mathrm{\Lambda }}_{c}N$ phase shifts for the ${}^3{S}_1-{}^3{D}_1$ 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 ${}^3{S}_1$ and ${}^3{D}_1$ phase shifts and the inelasticity ${\eta }_1$, the fitted energy range is pretty small, only up to $E_{\mathrm{c}\mathrm{.}\mathrm{m}\mathrm{.}}=5$ MeV. This raises concerns regarding the consistency between leading/next-to-leading order chiral effective field theory and the lattice QCD simulations.