Strong and radiative decays of DΞ molecular state and newly observed Ωc states

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Abstract

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

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