Hidden-charm pentaquark states through the current algebra: From their productions to decays

Abstract

There may exist seven ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ hadronic molecular states. We construct their corresponding interpolating currents, and calculate their masses and decay constants using QCD sum rules. Based on these results, we calculate their relative production rates in ${\Lambda }_b^0$ decays through the current algebra, i.e., $\mathcal{B}({\Lambda }_b^0\to P_c{K}^{-}):\mathcal{B}({\Lambda }_b^0\to P_c^{\prime }{K}^{-})$ with $P_c$ and $P_c^{\prime }$ two different states. We also study their decay properties through the Fierz rearrangement, and further calculate these ratios in the $J/\psi p$ mass spectrum, i.e., $\mathcal{B}({\Lambda }_b^0\to P_c{K}^{-}\to J/\psi p{K}^{-}):\mathcal{B}({\Lambda }_b^0\to P_c^{\prime }{K}^{-}\to J/\psi p{K}^{-})$. Our results suggest that the ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ molecular states of $J^P=1/2^{-}$ and $3/2^{-}$ are possible to be observed in future experiments.

32 pages, 5 figures, 5 tables, revised version to be published in Chin. Phys. C

References in corpus (24)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Exotics: Heavy Pentaquarks and Tetraquarks
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• A Discussion on Triangle Singularities in the ${\Lambda }_b\to J/\psi K^{-}p$ Reaction
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Bottom Baryons
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• A Theory of X and Z Multiquark Resonances
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• The Dynamical Diquark Model: First Numerical Results
• Structure and decays of hidden heavy pentaquarks
• Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry
• Identifying the ${\Xi }_b(6227)$ and ${\Sigma }_b(6097)$ as $P$-wave bottom baryons of $J^P=3/2^{-}$
• How to reveal the nature of three or more pentaquark states?
• Baryon Fields with U_L(3) times U_R(3) Chiral Symmetry III: Interactions with Chiral (3,3_bar)+(3_bar,3) Spinless Mesons
• Chiral Baryon Fields in the QCD Sum Rule

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• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• 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
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Covalent hadronic molecules induced by shared light quarks
• Molecular pentaquark states with open charm and bottom flavors