Scattering of charmed baryons on nucleons

Abstract

Chiral effective field theory is utilized for extrapolating results on the ${\Lambda }_{c}N$ interaction, obtained in lattice QCD at unphysical (large) quark masses, to the physical point. The pion-mass dependence of the components that constitute the ${\Lambda }_{c}N$ potential up to next-to-leading order (pion-exchange diagrams and four-baryon contact terms) is fixed by information from lattice QCD simulations. No recourse to SU(3) or SU(4) flavor symmetry is made. It is found that the results of the HAL QCD Collaboration for quark masses corresponding to $m_{\pi }=410$--$570$ MeV imply a moderately attractive ${\Lambda }_{c}N$ interaction at $m_{\pi }=138$ MeV with scattering lengths of $a\approx -1$ fm for the ${}^1{S}_0$ as well as the ${}^3{S}_1$ partial waves. For such an interaction the existence of a charmed counterpart of the hypertriton is unlikely but four- and/or five-baryons systems with a ${\Lambda }_c$ baryon could be indeed bound.

7 pages, 2 figures; table added, several comments added

References in corpus (14)

• Chiral effective field theory and nuclear forces
• Multiquark Resonances
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Future Prospects for Hadron Physics at PANDA
• The hyperon-nucleon interaction: conventional versus effective field theory approach
• ${\Lambda }_{c}N$ interaction from lattice QCD and its application to ${\Lambda }_c$ hypernuclei
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Scattering of decuplet baryons in chiral effective field theory
• Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory
• Pion-assisted charmed dibaryon candidate
• Lattice QCD input for nuclear structure and reactions
• ${\Lambda }_c{\Sigma }_c\pi$ coupling and ${\Sigma }_c\to {\Lambda }_c\pi$ decay in lattice QCD
• Strange and Heavy Flavoured Hypernuclei in Chiral Soliton Models

Cited by in corpus (18)

• 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
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Pion-mass dependence of the nucleon-nucleon interaction
• Charmed nuclei within a microscopic many-body approach
• Femtoscopic correlations and the ${\Lambda }_{c}N$ interaction
• ${\Lambda }_{c}N$ interaction in leading order covariant chiral effective field theory
• Charmed baryon$-$nucleon interaction
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• Charmed dibaryon resonances in the potential quark model
• Charmed baryons in nuclear matter
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Ground State Properties of Charmed Hypernuclei with Mean Field Approach
• Predicting possible molecular states of nucleons with ${\Xi }_c$, ${\Xi }_c^{\ast }$, and ${\Xi }_c^{\prime }$
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Finding Interaction Mechanism between Exotic Molecule and Conventional Hadron