Pentaquark states in a diquark-triquark model

Abstract

The diquark-triquark model is used to explain charmonium-pentaquark states, i.e., $P_c(4380)$ and $P_c(4450)$, which were observed recently by the LHCb collaboration. For the first time, we investigate the properties of the color attractive configuration of a triquark and we define a nonlocal light cone distribution amplitude for pentaquark states, where both diquark and triquark are not pointlike, but they have nonzero size. We establish an effective diquark-triquark Hamiltonian based on spin-orbital interaction. According to the Hamiltonian, we show that the minimum mass splitting between ${\frac{5}{2}}^{+}$ and ${\frac{3}{2}}^{-}$ is around $100$~MeV, which may naturally solve the challenging problem of small mass splitting between $P_c(4450)$ and $P_c(4380)$. This helps to understand the peculiarities of $P_c(4380)$ with a broad decay width whereas $P_c(4450)$ has a narrow decay width. Based on the diquark-triquark model, we predict more pentaquark states, which will hopefully be measured in future experiments.

7 pages, 3 figures, 1 table; matches the version accepted in Phys.Lett.B

References in corpus (24)

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Cited by in corpus (103)

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• Exotics: Heavy Pentaquarks and Tetraquarks
• 50 Years of Quantum Chromodynamics
• Exotic Hadrons from Heavy Ion Collisions
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Tetra- and penta-quark structures in the constituent quark model
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Hidden-charm pentaquarks and $P_c$ states
• Analysis of the $P_c(4312)$, $P_c(4440)$, $P_c(4457)$ and related hidden-charm pentaquark states with QCD sum rules
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• Analysis of $P_c^{+}(4380)$ and $P_c^{+}(4450)$ as pentaquark states in the molecular picture with QCD sum rules
• Interpretation of the LHCb Pc(4312) Signal
• Interpretation of the newly observed ${\Omega }_c^0$ resonances
• Analyzing doubly heavy tetra- and penta-quark states by variational method
• Magnetic moments of the hidden-charm pentaquark states
• Interpreting the $X(5568)$
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• The ${\Lambda }_b\to J/\psi K^0\Lambda$ reaction and a hidden-charm pentaquark state with strangeness
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• A meson-baryon molecular interpretation for some ${\Omega }_c$ excited baryons
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• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
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• A hidden-charm pentaquark state in ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decay
• Magnetic moments of the hidden-charm strange pentaquark states
• Heavy pentaquark spectroscopy in the diquark model
• Hidden-Bottom Pentaquarks
• Analysis of the ${\frac{3}{2}}^{\pm }$ pentaquark states in the diquark-diquark-antiquark model with QCD sum rules
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Exploring a ${\Sigma }_c\bar{D}$ state: with focus on $P_c(4312{)}^{+}$
• Investigation of $P_{cs}(4459{)}^0$ pentaquark via its strong decay to $\Lambda J/\Psi$
• Heavy quark symmetry and weak decays of the $b$-baryons in pentaquarks with a $c\bar{c}$ component
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• Spectroscopy of Exotic Hadrons Formed from Dynamical Diquarks
• Hidden charm pentaquarks with color-octet substructure in QCD Sum Rules
• Investigating the hidden-charm and hidden-bottom pentaquark resonances in scattering process
• Hidden charm pentaquark states in a diquark model
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Can $X(5568)$ be a tetraquark state?
• Analysis of the $\bar{D}{\Sigma }_c$, $\bar{D}{\Sigma }_c^{\ast }$, ${\bar{D}}^{\ast }{\Sigma }_c$ and ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ pentaquark molecular states with QCD sum rules
• Fine Structure of Pentaquark Multiplets in the Dynamical Diquark Model
• Strong Decay of $P_c(4380)$ Pentaquark in a Molecular Picture
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Electromagnetic multipole moments of the $P_c^{+}(4380)$ pentaquark in light-cone QCD
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
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