Baryon states with hidden charm in the extended local hidden gauge approach

Abstract

The s-wave interaction of $\bar{D}{\Lambda }_c,\bar{D}{\Sigma }_c,\bar{D}{\Lambda }_c,\bar{D}{}^{\ast }{\Sigma }_c$ and $\bar{D}{\Sigma }_c^{\ast },\bar{D}{}^{\ast }{\Sigma }_c^{\ast }$, is studied within a unitary coupled channels scheme with the extended local hidden gauge approach. In addition to the Weinberg-Tomozawa term, several additional diagrams via the pion-exchange are also taken into account as box potentials. Furthermore, in order to implement the full coupled channels calculation, some of the box potentials which mix the vector-baryon and pseudoscalar-baryon sectors are extended to construct the effective transition potentials. As a result, we have observed six possible states in several angular momenta. Four of them correspond to two pairs of admixture states, two of $\bar{D}{\Sigma }_c$ - $\bar{D}{}^{\ast }{\Sigma }_c$ with $J^P=1/2^{-}$, and two of $\bar{D}{\Sigma }_c^{\ast }$ - $\bar{D}{}^{\ast }{\Sigma }_c^{\ast }$ with $J^P=3/2^{-}$. Moreover, we find a $\bar{D}{}^{\ast }{\Sigma }_c$ resonance which couples to the $\bar{D}{\Lambda }_c$ channel and one spin degenerated bound state of $\bar{D}{}^{\ast }{\Sigma }_c^{\ast }$ with $J^P=1/2^{-},5/2^{-}$.

24 pages, 6 figures

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• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
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• Selected Science Opportunities for the EicC
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• One pion exchange and the quantum numbers of the Pc(4440) and Pc(4457) pentaquarks
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• Hidden-charm and bottom meson-baryon molecules coupled with five-quark states
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Quark model estimate of hidden-charm pentaquark resonances
• Hidden-charm molecular pentaquarks and their charm-strange partners
• Disentangling the hadronic molecule nature of the $P_c(4380)$ pentaquark-like structure
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• 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
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• A hidden-charm pentaquark state in ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decay
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Neural Network Study of Hidden-Charm Pentaquark Resonances
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
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• Investigating the hidden-charm and hidden-bottom pentaquark resonances in scattering process
• LHCb pentaquarks in constituent quark models
• Exploratory study of possible resonances in the heavy meson - heavy baryon coupled-channel interactions
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• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
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• 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
• On the hidden charm pentaquark-s in ${\Lambda }_b\to J/\psi K^{-}p$ decay
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• Search for hidden-charm pentaquark states in three-body final states
• Hidden charm pentaquark and $\Lambda (1405)$ in the ${\Lambda }_b^0\to {\eta }_c{K}^{-}p(\pi \Sigma )$ reaction
• Hadronic molecules with four charm or beauty quarks
• Evidence supporting the existence of $P_c(4380{)}^{\pm }$ from the recent measurements of $B_s\to J/\psi p\bar{p}$
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Hidden-charm Pentaquark Production at $e^{+}{e}^{-}$ Colliders
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• The $D{\bar{D}}^{\ast }$ interaction with isospin zero in an extended hidden gauge symmetry approach
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• The axial charges of the hidden-charm pentaquark states
• Meson exchange between initial and final state and the $R_D$ ratio in the $\bar{B}\to D\bar{\nu }\ell ({\bar{\nu }}_{\tau }\tau )$ reactions