How to reveal the nature of three or more pentaquark states?

Abstract

Within the chiral unitary approach and with the constraints of heavy quark spin symmetry, we study the coupled channel interactions of ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ channels, close to whose thresholds three pentaquark-like $P_c$ states have been reported by the LHCb Collaboration. In the present work, we take into account the contributions of pion exchanges via box diagrams to the interaction potentials, and therefore lift the degeneracy in the masses of ${\bar{D}}^{\ast }{\Sigma }_c^{(\ast )}$ spin multiplets. Fitting the $J/\psi p$ invariant mass distributions in the ${\Lambda }_b^0\to J/\psi K^{-}p$ decay, we find that the LHCb pentaquark states can not be reproduced in the direct $J/\psi p$ production in the ${\Lambda }_b^0$ decay, and can only be indirectly produced in the final state interactions of the ${\Lambda }_b^0$ decay products, ${\bar{D}}^{\ast }{\Sigma }_c^{(\ast )}$, which further supports the nature of these states as $\bar{D}{\Sigma }_c$ molecules. Based on the fit results obtained, we study the partial decay widths/branching ratios to other decay channels, ${\bar{D}}^{\ast }{\Lambda }_c$, $\bar{D}{\Lambda }_c$, and ${\eta }_{c}N$, and the corresponding invariant mass distributions. The resonances with $J^P={\frac{1}{2}}^{-}$, $P_c(4312)$, $P_c(4440)$ and the one of ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ around 4500 MeV, have large partial decay width into ${\eta }_{c}N$, and thus, can be easily seen in the ${\eta }_{c}N$ invariant mass distributions. By contrast, the states with $J^P={\frac{3}{2}}^{-}$, $P_c(4457)$, the (predicted) narrow $P_c(4380)$ and the bound state of ${\bar{D}}^{\ast }{\Sigma }_c^{\ast }$ with a mass of about 4520 MeV, do not decay into ${\eta }_{c}N$. Therefore, the ${\eta }_{c}N$ channel should be studied in future to provide further insights into the nature of these states, especially that of the $P_c(4440)$ and $P_c(4457)$.

Updated with more comments, and welcome to comment

References in corpus (27)

• 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
• 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 $P_c(4457)$
• Interpretation of the Narrow $J/\psi p$ Peaks in ${\Lambda }_b\to J/\psi p{K}^{-}$ Decay in the Compact Diquark Model
• Hidden charm N and Delta resonances with heavy-quark symmetry
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction
• Evidence for a new ${\Sigma }^{\ast }$ resonance with $J^P=1/2^{-}$ in the old data of $K^{-}p\to \Lambda {\pi }^{+}{\pi }^{-}$ reaction
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Hidden Bottom Pentaquark States with Spin 3/2 and 5/2
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
• Unitarization Technics in Hadron Physics with Historical Remarks
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• Pentaquark states from bound state approach with chiral partner structure

Cited by in corpus (21)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Revisiting the nature of the $P_c$ pentaquarks
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Anticharmed strange pentaquarks from the one-boson-exchange model
• 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
• Hidden-charm pentaquark states in a mass splitting model
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Prompt production of the hidden charm pentaquarks in the LHC
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• Probing hidden-bottom pentaquarks in fixed-target collisions at the LHC
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Molecular pentaquark states with open charm and bottom flavors
• Observation of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\bar{D}}^{(\ast )0}{K}^{-}$ and ${\Lambda }_b^0\to {\Lambda }_c^{+}{D}_s^{\ast -}$ decays
• The study of doubly charmed pentaquark $cc\bar{q}qq$ with the SU(3) symmetry
• Hadronic molecules and multiquark states
• Searching for a $P_{cs}(4200)$ state in the ${\Lambda }_b\to \varphi {\eta }_c\Lambda$ reaction
• $P_c(4312{)}^{+}$ and $P_c(4337{)}^{+}$ as interfering ${\Sigma }_c\bar{D}$ and ${\Lambda }_c{\bar{D}}^{\ast }$ threshold cusps