2023/12/21 by Natsumi Ikeno, Ikeno, Natsumi, Wei-Hong Liang +3
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research
paper · pdf · doi:10.48550/arxiv.2312.13732
We make a study of the Ωc(3120), one of the five Ωc states observed by the LHCb collaboration, which is well reproduced as a molecular state from the Ξ^*c K and Ω^*c η channels mostly. The state with JP = 3/2- decays to Ξc K in D-wave and we include this decay channel in our approach, as well as the effect of the Ξ^*c width. With all these ingredients, we determine the fraction of the Ωc(3120) width that goes into Ξc π K, which could be a measure of the Ξ^*c K molecular component, but due to a relatively big binding, compared to its analogous Ω(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 Ξ^*c K and Ω^*c η channels which together with the binding and width of the Ωc(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.