${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory

Abstract

We study the ${\Lambda }_{c}N$ interaction in the covariant chiral effective field theory (ChEFT) at leading order. All the relevant low-energy constants are determined by fitting to the lattice QCD simulations from the HAL QCD Collaboration. Extrapolating the results to the physical point, we show that the ${\Lambda }_{c}N$ interaction is weakly attractive in the ${}^1{S}_0$ channel, but in the ${}^3{S}_1$ channel, it is only attractive at extremely low energies and soon turns repulsive for larger laboratory energy. Furthermore, we show that the neglect of the ${}^3{S}_1-{}^3{D}_1$ coupling provided by the leading order covariant ChEFT would result in an attractive interaction in the ${}^3{S}_1$ channel at the physical point, which coincides with the previous non-relatistic ChEFT study. As a byproduct, we predict the ${}^3{D}_1$ phase shifts and the mixing angel ${\epsilon }_1$, which can be checked by future lattice QCD simulations. In addition, we compare the ${\Lambda }_{c}N$ interaction with the $\Lambda N$ and $NN$ interactions to study how the baryon-nucleon ($BN$) interactions evolve as a function of the baryon mass with the replacement of a light quark by a strange or charm quark in the baryon ($B$).

10 pages, 7 figures

References in corpus (5)

• Chiral effective field theory and nuclear forces
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Pion-mass dependence of the nucleon-nucleon interaction
• ${\Lambda }_c{\Sigma }_c\pi$ coupling and ${\Sigma }_c\to {\Lambda }_c\pi$ decay in lattice QCD
• Charmed baryons in nuclear matter

Cited by in corpus (5)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Strangeness $S=-2$ baryon-baryon interactions and femtoscopic correlation functions in covariant chiral effective field theory
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory