Description of the newly observed $\Omega^{*}_c$ states as molecular states

TL;DR

This paper investigates the nature of newly observed $\Omega^{*}_c$ states as molecular states, analyzing their decay processes and comparing theoretical predictions with experimental data to determine their internal structure and quantum numbers.

Contribution

The study provides a molecular interpretation of $\Omega^{*}_c(3185)$ and $\Omega^{*}_c(3327)$ states, including decay width calculations and spin-parity assignments, advancing understanding of their structure.

Findings

$\Omega^{*}_c(3327)$ with $J^P=3/2^{-}$ is consistent with a $D^{*}\Xi$ molecular state.

$\Omega^{*}_c(3327)$ with $J^P=1/2^{-}$ does not fit the molecular state model well.

Decay channels like $\Xi_c^{'}ar{K}$ are useful for testing molecular interpretations.

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$J^P=3/2^{-}$ as pure $D^{*}\Xi$ molecule while the $\Omega^{*}_c(3327)$ with $J^P=1/2^{-}$ can not be well reproduced in the molecular state picture. In addition, the spin-parity $J^P=1/2^{-}$ $D\Xi$ 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 $\Omega^{*}_c(3327)$.