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

Abstract

We study the lattice QCD ${\Lambda }_{c}N$ 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 $E_{c.m.}=5$ MeV. This raises concerns regarding the consistency between leading/next-to-leading order chiral effective field theory and the lattice QCD simulations.

Comments: 12 pages, 4 figures, to appear in Communications in Theoretical Physics