The Strong Decay Mode $$J/\psi $$ J / ψ for the Pentaquark States $$P_c^+(4380)$$ P c + ( 4380 ) and $$P_c^+(4450)$$ P c + ( 4450 ) in a $$\varSigma _c\bar{D}^*$$ Σ c D ¯ ∗ Molecular Scenario

Abstract

The strong decays of $$P_c^+(4380) \rightarrow J/\psi p$$ and $$P_c^+(4450) \rightarrow J/\psi p$$ are studied based on a $$\varSigma _c \bar{D}^*$$ molecule scenario. Different assignments for the spin-parity of the two $$P_c$$ states are considered. Our results exclude all the P- wave $$\varSigma _c {\bar{D}}^*$$ assignments, while the estimated widths of the S wave are both allowed by the present experimental data of the two $$P_c$$ states. Moreover, we discuss the other two scenarios of $$\varSigma _c^* \bar{D}$$ and $$\varSigma _c^* \bar{D}^*$$ in heavy quark limit with $$J^P=3/2^-$$ , and find the $$\varSigma _c^* \bar{D}$$ system for $$P_c(4380)$$ might be possible.