$P_{cc}^N$ 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.

arXiv comment9 pages, 6 figures

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