Abstract
The strong coupling constants of newly observed Ωc0 baryons with spins J=1/2 and J=3/2 decaying into Ξc+K- are estimated within light cone QCD sum rules. The calculations are performed within two different scenarios on quantum numbers of Ωc baryons: (a) all newly observed Ωc baryons are negative parity baryons; that is, the Ωc(3000), Ωc(3050), Ωc(3066), and Ωc(3090) have quantum numbers JP=1/2- and JP=3/2- states, respectively; (b) the states Ωc(3000) and Ωc(3050) have quantum numbers JP=1/2- and JP=1/2+, while the states Ωc(3066) and Ωc(3090) have the quantum numbers JP=3/2- and JP=3/2+, respectively. By using the obtained results on the coupling constants, we calculate the decay widths of the corresponding decay. The results on decay widths are compared with the experimental data of LHC Collaboration. We found out that the predictions on decay widths within these scenarios are considerably different from the experimental data; that is, both considered scenarios are ruled out.
Highlights
In the invariant mass spectrum of Ξ+c K−, very narrow excited Ωc states (Ωc(3000), Ωc(3050), Ωc(3066), Ωc(3090), and Ωc(3119)) have been observed at LHCb [1]
In [2], the states Ωc(3050) and Ωc(3090) are assigned as radial excitation of g(1r/o2u)n+dasntadte(3Ω/2c()3+0, 0r0e)spaencdtiΩve∗ly(.30O6n6)thbaeroyothnesrwhiathndth, einJP[3=– 7] these new states are assumed as the P-wave states with JP = (1/2)−, (1/2)−, (3/2)−, (3/2)−, and (5/2)−, respectively
The new states are assumed as pentaquarks in [8]
Summary
In the invariant mass spectrum of Ξ+c K−, very narrow excited Ωc states (Ωc(3000), Ωc(3050), Ωc(3066), Ωc(3090), and Ωc(3119)) have been observed at LHCb [1]. − (sb (0) γμCSsba1TCTua) γ5Sccc (x)} |0 ⟩ From this formula, it follows that, to obtain the correlation function(s) from QCD side, first of all we need the expressions of light and heavy quark propagators. The sum rules for the corresponding strong coupling constants are obtained by choosing the coefficients aforementioned structures and equating to the corresponding results from hadronic and QCD sides. Similar to the determination of the strong coupling constant, for obtaining the sum rule for residues we need the continuum subtraction. It can be performed in following way. Note that the residues of Ξc baryons are calculated in a similar way
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