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

Abstract

We calculate two-body $J^π=0^{+}, 1^{+}$, and $J^π=2^{+}$ resonance states of $Y_{c}$ ($= Λ_{c}$, $Σ_{c}$, or $Σ_{c}^{*}$) 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 $Σ_{c}N$ and $Σ_{c}^{*}N$ 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 $Σ_{c}N$ and $Σ_{c}^{*}N$ thresholds are degenerate, and find that they form two pairs of the heavy-quark doublets in agreement with the heavy quark spin symmetry.