arXiv2024
We have studied the mass spectra of doubly charmed pentaquark states in the $Λ_{c}^{(*)}D^{(*)}$ and $Σ_{c}^{(*)}D^{(*)}$ channels with $J^P=1/2^\pm$, $3/2^\pm$ and $5/2^\pm$ within the framework of QCD sum rules. We use the parity projected sum rules to separate the contributions of negative and positive parities from the two-point correlations induced by the pentaquark interpolating currents. Our results show that the bound states of $P_{cc}$ pentaquarks may exist in the $Λ_cD\, (\frac{1}{2}^-)$, $Σ_cD\, (\frac{1}{2}^-)$, $Σ_cD^*\, (\frac{3}{2}^-)$, $Λ_c^*D\, (\frac{3}{2}^-)$, $Λ_c^*D^*\, (\frac{5}{2}^-)$ channels with negative-parity and $Σ_cD\, (\frac{1}{2}^+)$, $Σ_cD^\ast\, (\frac{3}{2}^+)$, $Σ_c^\ast D\, (\frac{3}{2}^+)$ channels with positive-parity, since their masses are predicted to be lower than the corresponding meson-baryon thresholds. However, they are still allowed to decay into the $Ξ_{cc}^{(\ast)}π$ final states via strong interaction. The triply charged $P_{cc}^{+++}(ccuu\bar d)$ and neutral $P_{cc}^{0}(ccdd\bar u)$ in the isospin quartet would definitely be pentaquark states due to their exotic charges. We suggest searching for these characteristic doubly charmed pentaquark signals in the $P_{cc}^{+++}\toΞ_{cc}^{(\ast) ++}π^+/ρ^+$, $Σ_c^{(\ast)++}D^{(\ast)+}$ and $P_{cc}^{0}\toΞ_{cc}^{(\ast) +}π^-/ρ^-$, $Σ_c^{(\ast)0}D^{(\ast)0}$ decays in the near future.