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Description of the newly observed $Ω^{*}_c$ states as molecular states (2303.17770v1)

Published 31 Mar 2023 in hep-ph

Abstract: In this work, we study the strong decays of the newly observed $\Omega{*}_c(3185)$ and $\Omega{*}_c(3327)$ assuming that $\Omega{*}_c(3185)$ and $\Omega{*}_c(3327)$ as $S$-wave $D\Xi$ and $D{*}\Xi$ molecular state, respectively. Since the $\Omega_c{*}$ was observed in the $\Xi_c{+}K{-}$ invariant mass distributions, the partial decay width of $\Omega{*}_c(3185)$ and $\Omega{*}_c(3327)$ into $\Xi_c{+}K{-}$ through hadronic loops are evaluated with the help of the effective Lagrangians. Moreover, the decay channel of $\Xi_c{'}\bar{K}$ is also included. The decay process is described by the $t$-channel $\Lambda$, $\Sigma$ baryons and $D_s$, $D_s{*}$ mesons exchanges, respectively. By comparison with the LHCb observation, the current results support the $\Omega{*}_c(3327)$ with$JP=3/2{-}$ as pure $D{*}\Xi$ molecule while the $\Omega{*}_c(3327)$ with $JP=1/2{-}$ can not be well reproduced in the molecular state picture. In addition, the spin-parity $JP=1/2{-}$ $D\Xi$ molecular assumptions for the $\Omega{*}_c(3185)$ can't be conclusively determined. It may be a meson-baryon molecule with a big $D\Xi$ component. Although the decay width of the $\Omega_c{*}\to{}\bar{K}\Xi_c{'}$ is of the order several MeV, it can be well employed to test the molecule interpretations of $\Omega{*}_c(3185)$ and $\Omega{*}_c(3327)$.

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