Hadronic molecules for charmed and bottom baryons near thresholds

We study hadronic molecules formed by a heavy meson and a nucleon, $DN$ and $D^{*}N$ ($\overline{B}N$ and ${\overline{B}}^{*}N$) systems. Respecting the heavy quark symmetry and chiral symmetry, we consider the $DN\mathrm{\text{−}}{D}^{*}N$ ($\overline{B}N\mathrm{\text{−}}{\overline{B}}^{*}N$) mixing induced by the one boson exchange potential including the tensor force. We find many bound and resonant states with $J^P=1/2^{\pm }$, $3/2^{\pm }$, $5/2^{\pm }$, and $7/2^{-}$ in isospin singlet channels, while we find only a few resonant states with $J^P=1/2^{-}$ in isospin triplet channels. The analysis of $DN$ and $D^{*}N$ ($\overline{B}N$ and ${\overline{B}}^{*}N$) molecules will be useful to study mass spectra of excited charmed (bottom) baryons with large angular momenta, when their masses are close to the $DN$ and $D^{*}N$ ($\overline{B}N$ and ${\overline{B}}^{*}N$) thresholds.

Figure 1

Energies of bound and resonant states of $D^{(*)}N$ for $I=0$ with positive parity ($P=+$) and negative parity ($P=-$). The energies are measured from the $DN$ threshold. The results for $\pi$ and $\pi \rho \omega$ potentials are shown, where corresponding states are connected by arrows. The binding energies are given as a real negative value, and the resonance energies $E_{\mathrm{re}}$ and decay widths $\Gamma$ are given as $E_{\mathrm{re}}-i\Gamma /2$.

Figure 2

Energies of bound and resonant states of ${\overline{B}}^{(*)}N$ for $I=0$ with positive parity ($P=+$) and negative parity ($P=-$). The energies are measured from the $\overline{B}N$ threshold. The same convention is used as Fig. 1.

Figure 3

Energies of bound and resonant states of $D^{(*)}N$ and ${\overline{B}}^{(*)}N$ for $I=1$ when the $\pi \rho \omega$ potential is used. The same convention is used as Fig. 1.