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In 2010, $\Lambda^*_{c\bar{c}}$ 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 decaybehaviors of $\Lambda_{c\bar{c}}$ as S-wave hadronic molecules within theeffective Lagrangian framework by a similar method, which has been applied on$P_c$ states successfully. With partial widths of possible decay channelscalculated, we find that $\Lambda_{c\bar{c}}(4213)$ and$\Lambda_{c\bar{c}}(4403)$, which are formed as pseudoscalar meson baryonmolecules, mainly decay to the $\eta_c \Lambda$ channel. For the two vectormeson 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 verydifferent for $\Lambda_{c\bar{c}}(4370)$ being a $D_s^{* -} \Lambda_c^+$ or$\bar{D}^{*} \Xi_c$ molecule state. The main decay channels of$\Lambda_{c\bar{c}}(4550)$ are $\bar{D}^{(*)} \Xi^{(*,\prime)}_c$ because ofthe pseudoscalar meson exchange mechanism. In addition, $\bar{D}^{*} \Xi_c$ isthe dominant decay channel of $\Lambda_{c\bar{c}}(4490)$ which is assumed as a$\bar{D} \Xi_c^{*}$ bound state. These decay patterns of the$\Lambda^*_{c\bar{c}}$ states would provide a guidance for their futureexperimental searches and help us to understand their internal structures.

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