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On the molecular nature of the $\Omega_c(3120)$ and its analogy with the $\Omega(2012)$ by Ikeno, Natsumi; Liang, Wei-Hong; Oset, Eulogio is a scholarly article available to read on EtoBox.

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

We make a study of the $\Omega_c(3120)$, one of the five $\Omega_c$ states observed by the LHCb collaboration, which is well reproduced as a molecular state from the $\Xi^*_c \bar K$ and $\Omega^*_c \eta$ channels mostly. The state with $J^P = 3/2^-$ decays to $\Xi_c \bar K$ in $D$-wave and we include this 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 a measure of the $\Xi^*_c \bar K$ molecular component, but due to a relatively big binding, compared to its analogous $\Omega(2012)$ state, we find only a small fraction of about 3%, which makes this measurement difficult with present statistics. As an alternative, we evaluate the scattering length and effective range of the $\Xi^*_c \bar K$ and $\Omega^*_c \eta$ channels which together with the binding and width of the $\Omega_c(3120)$ state, could give us an answer to the issue of the compositeness of this state when these magnitudes are determined experimentally, something feasible nowadays, for instance, measuring correlation functions.

Author

Ikeno, Natsumi; Liang, Wei-Hong; Oset, Eulogio

Published

2023

Language

EN