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

Abstract

The effects of the ${\Sigma }_c{\bar{D}}^{\ast }$-${\Lambda }_c(2595)\bar{D}$ coupled-channel dynamics and various one-boson-exchange (OBE) forces for the LHCb pentaquark states, $P_c(4440)$ and $P_c(4457)$, are reinvestigated. Both the pion and $\rho$-meson exchanges are considered for the ${\Sigma }_c{\bar{D}}^{\ast }$-${\Lambda }_c(2595)\bar{D}$ coupled-channel dynamics. It is found that the role of the ${\Lambda }_c(2595)\bar{D}$ channel in the descriptions of the $P_c(4440)$ and $P_c(4457)$ states is not significant with the OBE parameters constrained by other experimental sources. The naive OBE models with the short-distance $\delta (\vec{r})$ term of the one-pion exchange (OPE) keep failing to reproduce the $P_c(4440)$ and $P_c(4457)$ states simultaneously. The OPE potential with the full $\delta (\vec{r})$ term results in a too large mass splitting for the $J^P=1/2^{-}$ and $3/2^{-}$ ${\Sigma }_c{\bar{D}}^{\ast }$ bound states with total isospin $I=1/2$. The OBE model with only the OPE $\delta (\vec{r})$ term dropped may fit the splitting much better but somewhat underestimates the splitting. Since the $\delta (\vec{r})$ potential is from short-distance physics, which also contains contributions from the exchange of mesons heavier than those considered explicitly, we vary the strength of the $\delta (\vec{r})$ potential and find that the masses of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ can be reproduced simultaneously with the $\delta (\vec{r})$ term in the OBE model reduced by about 80\%. While two different spin assignments are possible to produce their masses, in the preferred description, the spin parities of the $P_c(4440)$ and $P_c(4457)$ are $3/2^{-}$ and $1/2^{-}$, respectively.

34 pages, 6 figures, 8 tables

References in corpus (26)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Hadro-Charmonium
• 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
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• 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 $P_c(4380)$
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Anatomy of the newly observed hidden-charm pentaquark states: $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• 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
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Revisiting the nature of the $P_c$ pentaquarks
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Structure and decays of hidden heavy pentaquarks
• Heavy quark symmetry and weak decays of the $b$-baryons in pentaquarks with a $c\bar{c}$ component
• How to reveal the nature of three or more pentaquark states?
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Decays of Pentaquarks in Hadrocharmonium and Molecular Pictures
• Group Theory Analysis of $P_c$ Resonances in Molecular Picture

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• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• 50 Years of Quantum Chromodynamics
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Studying the interaction between charm and light-flavor mesons
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Spectrum of the molecular pentaquarks
• Production of $P_c$ states in ${\Lambda }_b$ decays
• Compact hidden charm pentaquark states and QCD isomers
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Fully-charm and -bottom pentaquarks in a Lattice-QCD inspired quark model
• Molecular ${\Omega }_{cc}$ , ${\Omega }_{bb}$ and ${\Omega }_{bc}$ states
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Search for hidden-charm pentaquark states in three-body final states
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• Exotic Heavy Hadrons
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states
• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• Searching for a $P_{cs}(4200)$ state in the ${\Lambda }_b\to \varphi {\eta }_c\Lambda$ reaction