Decay behaviors of Pc hadronic molecules

Understand

The $P_c(4380)$ and $P_c(4450)$ states observed recently by LHCb experiment were proposed to be either $\bar{D} \Sigma_c^*$ or $\bar{D}^* \Sigma_c$ S-wave bound states of spin parity $J^P={\frac32}^-$.

• 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 the $\bar{D} \Sigma_c^*$ molecule decays dominantly to $\bar{D}^* \Lambda_c$ channel with a branching ratio by 2 orders of magnitude larger than to $\bar{D}\Lambda_c$, the $\bar{D}^* \Sigma_c$ molecule decays to these two channels with a difference of less than a factor of 2.