# Charmed dibaryon resonances in the potential quark model

## TL;DR

This paper predicts charmed dibaryon resonance states with specific spins and parities using a complex scaling method, revealing Feshbach resonances near certain thresholds and confirming heavy quark symmetry patterns.

## Contribution

It introduces a novel prediction of charmed dibaryon resonances using complex scaling and coupled channel potentials, highlighting heavy quark symmetry effects.

## Key findings

- Four sharp resonance states near $oldsymbol{ ext{Σ}_c N}$ and $oldsymbol{ ext{Σ}_c^* N}$ thresholds.
- Resonance states identified as Feshbach resonances.
- Results consistent with heavy quark spin symmetry, forming doublets.

## Abstract

Charmed dibaryon states with the spin-parity $J^{\pi}=0^+$, $1^+$, and $2^+$are predicted for the two-body $Y_cN$ ($=\Lambda_c$, $\Sigma_c$, or $\Sigma^*_c$) systems. We employ the complex scaling method for the coupled channel Hamiltonian with the $Y_cN$-CTNN potentials, which were proposed in our previous study. We find four sharp resonance states near the $\Sigma_c N$ and $\Sigma^*_c N$ thresholds. From the analysis of 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 $\Sigma^*_c N$ thresholds are degenerate, and find that they form two pairs of the heavy-quark doublets in agreement with the heavy quark spin symmetry.