Decay behaviors of the Pc hadronic molecules

The P-c(4380) and P-c(4450) states observed recently by the LHCb experiment were proposed to be either (D) over bar Sigma*(c) or (D) over bar*Sigma(c) bound states. We analyze the decay behaviors of two such 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 the (D) over bar Sigma*(c) molecule decays dominantly to the (D) over bar *A(c) channel with a branching ratio by 2 orders of magnitude larger than to (D) over barA(c), the (D) over bar*Sigma(c) 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 P-c(4380) as the spin-parity-3-/2 (D) over bar Sigma*(c) molecule is about a factor of 2 larger than the corresponding value for the (D) over bar*Sigma(c) molecule. It suggests that the assignment of the (D) over bar*Sigma(c) molecule for P-c(4380) is more favorable than the (D) over bar*Sigma(c) molecule. In addition, P-c(4450) seems to be a (D) over bar*Sigma(c) molecule with J(P) = 5+/2 in our scheme. Based on these partial decay widths of the P-c states, we estimate the cross sections for the reactions gamma p -> J/Psi p and pi p -> J/Psi p rough the s-channel P-c states. The forthcoming gamma p experiment at JLAB and the pi p experiment at JPARC should be able to pin down the nature of these P-c states.