Abstract
We have investigated $\Omega_c$ states that are dynamically generated from the meson-baryon interaction. We use an extension of the local hidden gauge to obtain the interaction from the exchange of vector mesons. We show that the dominant terms come from the exchange of light vectors, where the heavy quarks are spectators. This has as a consequence that heavy quark symmetry is preserved for the dominant terms in the $(1/m_Q)$ counting, and also that the interaction in this case can be obtained from the $\textrm{SU(3)}$ chiral Lagrangians. We show that for a standard value for the cutoff regulating the loop, we obtain two states with $J^{P}={1/2}^{-}$ and two more with $J^{P}={3/2}^{-}$, three of them in remarkable agreement with three experimental states in mass and width. We also make predictions at higher energies for states of vector-baryon nature.
Highlights
In Ref. [1] the LHCb collaboration reported five new narrow Ω0c states studying the Ξþc K− mass spectrum produced in high energy pp collisions: Ωcð3000Þ, Ωcð3050Þ, Ωcð3066Þ, Ωcð3090Þ, and Ωcð3119Þ
This has as a consequence that heavy quark symmetry is preserved for the dominant terms in the (1=mQ) counting, and that the interaction in this case can be obtained from the SU(3) chiral Lagrangians
We choose to regularize it with the cutoff method to avoid potential pathologies of the dimensional regularization in the charm sector, where G can become positive below threshold [66]. There is another reason, because in order to respect the rules of heavy quark symmetry in bound states, it was shown in Refs. [54,67] that the same cutoff has to be used in all cases
Summary
In Ref. [1] the LHCb collaboration reported five new narrow Ω0c states studying the Ξþc K− mass spectrum produced in high energy pp collisions: Ωcð3000Þ, Ωcð3050Þ, Ωcð3066Þ, Ωcð3090Þ, and Ωcð3119Þ. We differ in the input for the interaction, which in our case is based on the local hidden gauge approach, exchanging vector mesons [42,43,44,45,46]. Extrapolation of the local hidden gauge approach and for the diagonal terms the framework automatically filters the exchange of light vectors, providing the results that one obtains from the mapping explained before. For the diagonal terms we show that one is exchanging light vectors and the heavy quarks are spectators In this case we obtain the same matrix elements as in Ref. We look for vector-baryon states and find three states at higher energies
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