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We make a study of the $\Omega_c(3120)$, one of the five $\Omega_c$ statesobserved by the LHCb collaboration, which is well reproduced as a molecularstate from the $\Xi^*_c \bar K$ and $\Omega^*_c \eta$ channels mostly. Thestate with $J^P = 3/2^-$ decays to $\Xi_c \bar K$ in $D$-wave and we includethis decay channel in our approach, as well as the effect of the $\Xi^*_c$width. With all these ingredients, we determine the fraction of the$\Omega_c(3120)$ width that goes into $\Xi_c \pi \bar K$, which could be ameasure of the $\Xi^*_c \bar K$ molecular component, but due to a relativelybig binding, compared to its analogous $\Omega(2012)$ state, we find only asmall fraction of about 3%, which makes this measurement difficult with presentstatistics. As an alternative, we evaluate the scattering length and effectiverange of the $\Xi^*_c \bar K$ and $\Omega^*_c \eta$ channels which togetherwith the binding and width of the $\Omega_c(3120)$ state, could give us ananswer to the issue of the compositeness of this state when these magnitudesare determined experimentally, something feasible nowadays, for instance,measuring correlation functions.

On the molecular nature of the $\Omega_c(3120)$ and its analogy with the $\Omega(2012)$