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.