Strong and radiative decays of D\Xi molecular state and newly observed $\Omega_c$ states.

In this work, we study strong and radiative decays of the S-wave $D\Xi$ molecular state, which is related to the $\Omega_c$($\equiv{}\Omega_c^{*}$) states newly observed by the LHCb Collaboration. The coupling of the $D\Xi$ molecular state and the $D\Xi$ channel is calculated using the compositeness condition. With the obtained coupling, the partial decay widths of the $D\Xi$ molecular state into the $\Xi_c^{+}K^{-}$, $\Xi^{'+}_cK^{-}$ and $\Omega_c(2695)\gamma$ final states through hadronic loop are calculated using effective Lagrangians. by comparison with the LHCb observation, the current results of total decay width support the $\Omega^{*}_c$(3119) or $\Omega^{*}_c$(3050) as $D\Xi$ molecules while the the decay width of the $\Omega^{*}_c$(3000), $\Omega^{*}_c$(3066) and $\Omega^{*}_c$(3090) can not be well reproduced in the molecular picture. The partial decay widths are also presented and helpful to understand the internal structures of $\Omega^{*}_c$(3119) and $\Omega^{*}_c$(3050).