Resonance in the $Y_{c}N$ potential model

Abstract

We calculate two-body $J^{\pi }=0^{+},1^{+}$, and $J^{\pi }=2^{+}$ resonance states of $Y_c$ ($={\Lambda }_c$, ${\Sigma }_c$, or ${\Sigma }_c^{\ast }$) and $N$ using the complex scaling method. We employ the $Y_{c}N$-CTNN potentials, which were proposed in our previous study, and obtain four resonances near ${\Sigma }_{c}N$ and ${\Sigma }_c^{\ast }N$ thresholds. From the analysis by the binding energies of partial channel systems, we conclude that these resonance states are Feshbach resonances. We compare the results with the $Y_{c}N$ resonance states in the heavy quark limit, where the ${\Sigma }_{c}N$ and ${\Sigma }_c^{\ast }N$ thresholds are degenerate, and find that they form two pairs of the heavy-quark doublets in agreement with the heavy quark spin symmetry.

References in corpus (2)

• ${\Lambda }_{c}N$ interaction from lattice QCD and its application to ${\Lambda }_c$ hypernuclei
• Pion-assisted charmed dibaryon candidate

Cited by in corpus (13)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Unified description of the $Qs\bar{q}\bar{q}$ molecular bound states, molecular resonances and compact tetraquark states in the quark potential model
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Charmed baryon$-$nucleon interaction
• Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations
• On the structure in the $\Lambda N$ cross section at the $\Sigma N$ threshold
• Single ${\Lambda }_c^{+}$ hypernuclei within quark mean-field model
• Charmed baryons in nuclear matter
• Charmed dibaryon resonances in the potential quark model
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Predicting possible molecular states of nucleons with ${\Xi }_c$, ${\Xi }_c^{\ast }$, and ${\Xi }_c^{\prime }$