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

Abstract

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