Analysis of the ${\frac{1}{2}}^{\pm }$ pentaquark states in the diquark-diquark-antiquark model with QCD sum rules

Abstract

In this article, we construct both the axialvector-diquark-axialvector-diquark-antiquark type and axialvector-diquark-scalar-diquark-antiquark type interpolating currents, then calculate the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and study the masses and pole residues of the $J^P={\frac{1}{2}}^{\pm }$ hidden-charm pentaquark states with the QCD sum rules in a systematic way. In calculations, we use the formula $\mu =\sqrt{M_P^2-(2{\mathbb{M}}_c{)}^2}$ to determine the energy scales of the QCD spectral densities. We take into account the $SU(3)$ breaking effects of the light quarks, and obtain the masses of the hidden charm pentaquark states with the strangeness $S=0,-1,-2,-3$, which can be confronted with the experimental data in the future.

34 pages, 16 figures. arXiv admin note: substantial text overlap with arXiv:1508.04189

References in corpus (39)

• Big-Bang Nucleosynthesis
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Identifying exotic hidden-charm pentaquarks
• How to reveal the exotic nature of the P_c(4450)
• The New Pentaquarks in the Diquark Model
• Towards exotic hidden-charm pentaquarks in QCD
• The Pentaquark Candidates in the Dynamical Diquark Picture
• Understanding the newly observed heavy pentaquark candidates
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and the LHCb hidden-charmed pentaquarks
• Analysis of the $P_c(4380)$ and $P_c(4450)$ as pentaquark states in the diquark model with QCD sum rules
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Formation of hidden-charm pentaquarks in photon-nucleon collisions
• Model-independent evidence for $J/\psi p$ contributions to ${\Lambda }_b^0\to J/\psi p{K}^{-}$ decays
• Pentaquark states in a diquark-triquark model
• Evidence for exotic hadron contributions to ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decays
• Photoproduction of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$
• Some Predictions of Diquark Model for Hidden Charm Pentaquark Discovered at the LHCb
• Photoproduction of Exotic Baryon Resonances
• Analysis of the $1/2^{-}$ and $3/2^{-}$ heavy and doubly heavy baryon states with QCD sum rules
• Is pentaquark doublet a hadronic molecule?
• Looking for a hidden-charm pentaquark state with strangeness $S=-1$ from ${\Xi }_b^{-}$ decay into $J/\psi K^{-}\Lambda$
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Analysis of the ${\frac{3}{2}}^{+}$ heavy and doubly heavy baryon states with QCD sum rules
• Analysis of the ${\frac{1}{2}}^{\pm }$ pentaquark states in the diquark model with QCD sum rules
• On the pentaquark candidates $P_c^{+}(4380)$ and $P_c^{+}(4450)$ within the soliton picture of baryons
• The structure of pentaquarks $P_c^{+}$ in the chiral quark model
• Non-strange and strange pentaquarks with hidden charm
• Analysis of the scalar and axial-vector heavy diquark states with QCD sum rules
• $J/\psi ({\eta }_c)N$ and ${\rm Y}({\eta }_b)N$ cross sections
• A hidden-charm pentaquark state in ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decay
• Bottom Baryon Decays to Pseudoscalar Meson and Pentaquark
• Do the $P_c^{+}$ Pentaquarks Have Strange Siblings?
• Neutral hidden charm pentaquark states $P_c^0(4380)$ and $P_c^0(4450)$ in ${\pi }^{-}p\to J/\psi n$ reaction
• Strong decay patterns of the hidden-charm pentaquark states $P_c(4380)$ and $P_c(4450)$
• From Pentaquarks to Dibaryons in Lambda_b(5620) decays
• A triangle singularity and the LHCb pentaquarks
• Study of $X_c(3250)$ as a $D_0^{\ast }(2400)N$ molecular state
• Pentaquarks and strange tetraquark mesons

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• Establishing the first hidden-charm pentaquark with strangeness
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
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• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Strong decays of the newly $P_{cs}(4459)$ as a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecule
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Analysis of the ${\frac{3}{2}}^{\pm }$ pentaquark states in the diquark-diquark-antiquark model with QCD sum rules
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Heavy quark symmetry and weak decays of the $b$-baryons in pentaquarks with a $c\bar{c}$ component
• Investigation of $P_{cs}(4459{)}^0$ pentaquark via its strong decay to $\Lambda J/\Psi$
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• Hidden-charm pentaquarks with triple strangeness due to the ${\Omega }_c^{(\ast )}{\bar{D}}_s^{(\ast )}$ interactions
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• 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
• 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
• Analysis of the triply-heavy baryon states with the QCD sum rules
• Stable heavy pentaquarks in constituent models
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Possible pentaquark candidates: new excited ${\Omega }_c$ states
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• Production of hidden-charm strange pentaquarks $P_{cs}$ from the $K^{-}p\to J/\psi \Lambda$ reaction
• Analysis of the D-wave $\Sigma$-type charmed baryon states with the QCD sum rules
• Analysis of the triply-charmed pentaquark states with QCD sum rules
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• On the possibility of testing the two-peak structure of the LHCb hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ in near-threshold antikaon-induced charmonium production on protons and nuclei
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• The $\Lambda$-type P-wave bottom baryon states via the QCD sum rules
• Regarding the possibility to observe the LHCb hidden-charm strange pentaquark $P_{cs}(4459{)}^0$ in antikaon-induced $J/\psi$ meson production on protons and nuclei near the $J/\psi$$\Lambda$ production threshold
• Insights into the nature of the $P_{cs}(4459)$
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• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Lambda$ mass spectrum via the QCD sum rules
• Strange pentaquark molecules in QCD sum rules
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton