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Deciphering the recently discovered tetraquark candidates around 6.9 GeV

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 Added by Dorin Weissman
 Publication date 2020
  fields
and research's language is English




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Recently a novel hadronic state of mass 6.9 GeV, that decays mainly to a pair of charmonia, was observed in LHCb. The data also reveals a broader structure centered around 6490 MeV and suggests another unconfirmed resonance centered at around 7240 MeV, very near to the threshold of two doubly charmed $Xi_{cc}$ baryons. We argue in this note that these exotic hadrons are genuine tetraquarks and not molecules of charmonia. It is conjectured that they are V-baryonium tetraquarks, namely, have an inner structure of a baryonic vertex with a $cc$ diquark attached to it, which is connected by a string to an anti-baryonic vertex with a $bar c bar c$ anti-diquark. We examine these states as the analogs of the states $Psi(4360)$ and $Y(4630)$/$Psi(4660)$ which are charmonium-like tetraquarks. One way to test these claims is by searching for a significant decay of the state at 7.2 GeV into $Xi_{cc}overlineXi_{cc}$. Such a decay would be the analog of the decay of the state $Y(4630)$ into to $Lambda_coverlineLambda_c$. We further argue that there should be trajectories of both orbital and radial excited states of the $X(6900)$. We predict their masses. It is possible that a few of these states have already been seen by LHCb.



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We propose an {it{ab initio}} method to explore the nature of the newly discovered particle $X$(6900). We find that there should exist another state near the resonance at around 6.9 $mathrm{GeV}$, and the ratio of production cross sections of $X$(6900) to the undiscovered state is very sensitive to the nature of $X$(6900), whereas is almost independent of the transverse momentum and rapidity. This behavior is unlikely changed by higher order corrections. Therefore, the nature of $X$(6900) can be uncovered by experimental facts in the near future. If there is another state near $X$(6900) with cross section larger than half of that of $X$(6900), $X$(6900) should be a tetraquark state. Otherwise, it should be a molecule-like state.
We present the ground and excited state spectra of $Omega^{0}_{c}$ baryons with spin up to 7/2 from lattice quantum chromodynamics with dynamical quark fields. Based on our lattice results, we predict the quantum numbers of five $Omega^{0}_{c}$ baryons, which have recently been observed by the LHCb Collaboration. Our results strongly indicate that the observed states $Omega_c(3000)^0$ and $Omega_c(3050)^0$ have spin-parity $J^P = 1/2^{-}$, the states $Omega_c(3066)^0$ and $Omega_c(3090)^0$ have $J^P = 3/2^{-}$, whereas $Omega_c(3119)^0$ is possibly a $5/2^{-}$ state.
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