The Pc(4380) and Pc(4450) states observed recently by LHCb experiment were proposed to be eitherDΣ * c orD * Σc S-wave bound states of spin parity− . We analyze the decay behaviors of such two types of hadronic molecules within the effective Lagrangian framework. With branching ratios of ten possible decay channels calculated, it is found that the two types of hadronic molecules have distinguishable decay patterns. While theDΣ * c molecule decays dominantly toD * Λc channel with a branching ratio by 2 orders of magnitude larger than tō DΛc, theD * Σc molecule decays to these two channels with a difference of less than a factor of 2. Our results show that the total decay width of Pc(4380) as the spin-parity-molecule is about a factor of 2 larger than the corresponding value for theD * Σc molecule. It suggests that the assignment ofDΣ * c molecule for Pc(4380) is more favorable than thē D * Σc molecule. In addition, Pc(4450) seems to be aD * Σc molecule with J P = 5 2 + in our scheme. Based on these partial decay widths of Pc (4380), we estimate the cross sections for the reactions γp → J/ψp and πp → J/ψp through the s-channel Pc(4380) state. The forthcoming γp experiment at JLAB and πp experiment at JPARC should be able to pin down the nature of these Pc states. *
We demonstrate that the relative ratio of the decays of hidden charm pentaquark-like structure P + c (4380) toD * Λ + c and J/ψp are very different for P + c beingDΣ * c (2520) orD * Σc(2455) molecule states. While the partial width of theDΣ * c (2520) molecule to theD * Λ + c is much larger, by one order of magnitude, than that to the J/ψp, theD * Σc(2455) molecule shows a different pattern. Our analysis shows that theDΣ * c bound state ansatz is more reasonable than theD * Σc one to explain the broad Pc(4380) structure. We suggest to search for the Pc(4380) in theD * Λ + c system, which can be used to disentangle the nature of the P + c (4380) structure. * Among the two observed structures, the existence of the narrow P c (4450), no matter what it is, is affirmative from the data for the J/ψp invariant mass distribution. However, introducing the second structure, the P c (4380), does not seem that necessary since there is still a discrepancy
We extend our previous study on the decay behavior of Pc hadronic molecules to their strange and beauty partners. While Pc(4380) and Pc(4450) locate just below theDΣ * c and D * Σc thresholds, respectively, their proposed strange partners N (1875) and N (2080) sit just below the KΣ * and K * Σ thresholds, respectively. Using the effective Lagrangian approach as the same as for the study of Pc hadronic molecular states and with the couplings determined by the SU(3) flavor symmetry, the decay patterns of N (1875) and N (2080) are obtained assuming them to be the S-wave KΣ * and K * Σ molecules, respectively. It is found that the measured decay properties of N (1875) and N (2080) are reproduced well. Our results suggest that both N (1875) and N (2080) can be ascribed as the hadronic molecular pentaquark states in the hidden strangeness sector with quantum number I(J P ) = 1/2(3/2 − ). Further checks on their hadronic molecule nature by various experiments are proposed. With the same approach, we also give our predictions for the decay behavior of the possible beauty partners of the Pc hadronic molecular states. The B * Λ b is found to be the largest decay mode for both BΣ * b and B * Σ b hadronic molecules, hence can be used to look for the hidden beauty pentaquark states in forthcoming experiments. *
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