$P_{cc}^N$ states in a unitarized coupled-channel approach

Abstract

Starting from an effective Lagrangian with heavy quark spin symmetry embedded, the coupled-channel dynamics of the doubly charmed systems $D^{(\ast )}{\Sigma }_c^{(\ast )}$ is investigated. The potential underlying our investigation includes $t$-channel pseudoscalar and vector meson exchanges. A series of $S$-wave bound states with isospin $I=1/2$ is found by applying the first iterated solution of the $N/D$ method: one state with binding energy $23$ MeV in the $5/2^{-}$ $D^{\ast }{\Sigma }_c^{\ast }$ channel, three states with binding energy $26$, $30$ and $7$ MeV (relative to the thresholds from low to high, respectively) in the $3/2^{-}$ $D{\Sigma }_c^{\ast }$-$D^{\ast }{\Sigma }_c$-$D^{\ast }{\Sigma }_c^{\ast }$ system and three states with binding energy $32$, $8$ and $16$ MeV in the $1/2^{-}$ $D{\Sigma }_c$-$D^{\ast }{\Sigma }_c$-$D^{\ast }{\Sigma }_c^{\ast }$ system. Those $P_{cc}^N$ states serve as the open-charm partners of the hidden charm pentaquarks $P_{\psi }^N$ observed by the LHCb Collaboration.

9 pages, 6 figures

References in corpus (14)

• Pentaquark and Tetraquark states
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Effective Kbar N interaction based on chiral SU(3) dynamics
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• Doubly charmed molecular pentaquarks
• Two dynamical generated $a_0$ resonances by interactions between vector mesons
• Spectrum of the doubly charmed molecular pentaquarks in chiral effective field theory
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Prediction of five-flavored pentaquarks

Cited by in corpus (7)

• Spectrum of the molecular pentaquarks
• Doubly charmed pentaquark states in QCD sum rules
• Probing the hidden-bottom pentaquark resonances in photonuclear bottomonium production near threshold: differential observables
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Effective range expansion with a long-range force
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Doubly-charmed pentaquark states in a mass splitting model