Doubly charmed pentaquark states in QCD sum rules

Abstract

We have studied the mass spectra of doubly charmed pentaquark states in the ${\Lambda }_c^{(\ast )}{D}^{(\ast )}$ and ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$ 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 ${\Lambda }_{c}D({\frac{1}{2}}^{-})$, ${\Sigma }_{c}D({\frac{1}{2}}^{-})$, ${\Sigma }_c{D}^{\ast }({\frac{3}{2}}^{-})$, ${\Lambda }_c^{\ast }D({\frac{3}{2}}^{-})$, ${\Lambda }_c^{\ast }{D}^{\ast }({\frac{5}{2}}^{-})$ channels with negative-parity and ${\Sigma }_{c}D({\frac{1}{2}}^{+})$, ${\Sigma }_c{D}^{\ast }({\frac{3}{2}}^{+})$, ${\Sigma }_c^{\ast }D({\frac{3}{2}}^{+})$ 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 ${\Xi }_{cc}^{(\ast )}\pi$ 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 $P_{cc}^{+++}\to {\Xi }_{cc}^{(\ast )++}{\pi }^{+}/{\rho }^{+}$, ${\Sigma }_c^{(\ast )++}{D}^{(\ast )+}$ and $P_{cc}^0\to {\Xi }_{cc}^{(\ast )+}{\pi }^{-}/{\rho }^{-}$, ${\Sigma }_c^{(\ast )0}{D}^{(\ast )0}$ decays in the near future.

25 pages, 5 figures. Accepted by Physical Review D

References in corpus (24)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Observation of an exotic narrow doubly charmed tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• A survey of heavy-heavy hadronic molecules
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Establishing the first hidden-charm pentaquark with strangeness
• Evidence for a new structure in the $J/\psi p$ and $J/\psi \bar{p}$ systems in $B_s^0\to J/\psi p\bar{p}$ decays
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Prediction of exotic doubly charmed baryons within chiral effective field theory
• Search for the doubly heavy baryons ${\Omega }_{bc}^0$ and ${\Xi }_{bc}^0$ decaying to ${\Lambda }_c^{+}{\pi }^{-}$ and ${\Xi }_c^{+}{\pi }^{-}$
• Doubly charmed molecular pentaquarks
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• Inclusive approach to hunt for the beauty-charmed baryons ${\Xi }_{bc}$
• Search for the doubly heavy ${\Xi }_{bc}^0$ baryon via decays to $D^{0}p{K}^{-}$
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Electromagnetic properties of doubly heavy pentaquark states
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Search for the doubly heavy baryon ${\Xi }_{bc}^{+}$ decaying to $J/\psi {\Xi }_c^{+}$
• Hadronic production of ${\Xi }_{bc}$ with the intrinsic heavy-quark content at a fixed-target experiment at the LHC

Cited by in corpus (6)

• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Doubly-charmed pentaquark states in a mass splitting model
• Baryons and baryoniums in the perspective of QCD sum rules
• Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states