Decay behaviors of possible $Λ_{c\bar{c}}$ states in hadronic molecule pictures

Abstract

In 2010, $Λ^*_{c\bar{c}}$ states were predicted as the strange number $S=-1$ partners of $N^*_{c\bar{c}}$, which are well known now as the $P_c$ states and observed experimentally by LHCb Collaboration. We analyze the decay behaviors of $Λ_{c\bar{c}}$ as S-wave hadronic molecules within the effective Lagrangian framework by a similar method, which has been applied on $P_c$ states successfully. With partial widths of possible decay channels calculated, we find that $Λ_{c\bar{c}}(4213)$ and $Λ_{c\bar{c}}(4403)$, which are formed as pseudoscalar meson baryon molecules, mainly decay to the $η_c Λ$ channel. For the two vector meson baryon molecule states, our results show that the total decay width with $J^P=\frac12^-$ is by one order of magnitude larger than that with $J^P=\frac32^-$. The decay patterns and relative decay ratios are very different for $Λ_{c\bar{c}}(4370)$ being a $D_s^{* -} Λ_c^+$ or $\bar{D}^{*} Ξ_c$ molecule state. The main decay channels of $Λ_{c\bar{c}}(4550)$ are $\bar{D}^{(*)} Ξ^{(*,\prime)}_c$ because of the pseudoscalar meson exchange mechanism. In addition, $\bar{D}^{*} Ξ_c$ is the dominant decay channel of $Λ_{c\bar{c}}(4490)$ which is assumed as a $\bar{D} Ξ_c^{*}$ bound state. These decay patterns of the $Λ^*_{c\bar{c}}$ states would provide a guidance for their future experimental searches and help us to understand their internal structures.