Speaker
Description
We study 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 the $D$-wave and we include this decay channel in our approach, as well as the effect of the $\Xi^*_c$ width [1]. 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 [2,3], 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. I will give a presentation based on Ref. [1].
[1] N. Ikeno, W. H. Liang and E. Oset, arXiv:2312.13732 [hep-ph], accepted by PRD.
[2] R. Pavao and E. Oset, Eur. Phys. J. C 78, 857 (2018).
[3] N. Ikeno, G. Toledo, and E. Oset, Phys. Rev. D 101, 094016 (2020).
| session | C. Hadron Structure |
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