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$Xi_{bb}$ and $Omega_{bbb}$ molecular states

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 Added by Wei-Hong Liang
 Publication date 2019
  fields
and research's language is English




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Using the vector-exchange interaction in the local hidden gauge approach, which in the light quark sector generates the chiral Lagrangian, and has produced realistic results for $Omega_c, Xi_c, Xi_b$ and the hidden charm pentaquark states, we study the meson-baryon interactions in the coupled channels that lead to the $Xi_{bb}$ and $Omega_{bbb}$ excited states of the molecular type. We obtain seven states of the $Xi_{bb}$ type with energies between $10408$ and $10869$ MeV and one $Omega_{bbb}$ state at $15212$ MeV.

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Ever since Yukawa proposed that the pion is responsible for mediating the nucleon-nucleon interaction, meson exchanges have been widely used in understanding hadron-hadron interactions. The most studied mesons are the $sigma$, $pi$, $rho$, and $omega$, while other heavier mesons are often argued to be less relevant because they lead to short range interactions. However, the ranges of interactions should be compared with the size of the system under study but not in absolute terms. In this work, we propose that one charmoninium exchange is responsible for the formation of the $Omega_{ccc}Omega_{ccc}$ dibaryon, recently predicted by lattice QCD simulations. The same approach can be extended to the strangeness and bottom sectors, leading to the prediction on the existence of $OmegaOmega$ and $Omega_{bbb}Omega_{bbb}$ dibaryons, while the former is consistent with existing lattice QCD results, the latter remains to checked. In addition, we show that the Coulomb interaction may break up the $Omega_{ccc}Omega_{ccc}$ pair but not the $Omega_{bbb}Omega_{bbb}$ and $OmegaOmega$ dibaryons, particularly, the latter.
We calculate the semileptonic and a subclass of sixteen nonleptonic two-body decays of the double charm baryon ground states $Xi_{cc}^{++},,Xi_{cc}^{+}$ and $Omega_{cc}^+$ where we concentrate on the nonleptonic decay modes. We identify those nonleptonic decay channels in which the decay proceeds solely via the factorizing contribution precluding a contamination from $W$-exchange. We use the covariant confined quark model previously developed by us to calculate the various helicity amplitudes which describe the dynamics of the $1/2^+ to 1/2^+$ and $1/2^+ to 3/2^+$ transitions induced by the Cabibbo favored effective $(c to s)$ and $(d to u)$ currents. We then proceed to calculate the rates of the decays as well as polarization effects and angular decay distributions of the prominent decay chains resulting from the nonleptonic decays of the double heavy charm baryon parent states.
We have studied the meson-baryon interaction in coupled channels with the same quantum numbers of $Xi_{bc}$. The interaction is attractive in some channels and of sufficient intensity to lead to bound states or resonances. We use a model describing the meson-baryon interaction based on an extrapolation of the local hidden gauge approach to the heavy sector, which has been successfully used in predicting $Omega_c$ and hidden charm states. We obtain many states, some of them narrow or with zero width, as a consequence of the interaction, which qualify as molecular states in those channels. The success in related sectors of the picture used should encourage the experimental search for such states.
Stimulated by the new experimental LHCb findings associated with the $Omega_c$ states, some of which we have described in a previous work as being dynamically generated through meson-baryon interaction, we have extended this approach to make predictions for new $Xi_{cc}$ molecular states in the $C=2$, $S=0$ and $I=1/2$ sector. These states manifest themselves as poles in the solution of the Bethe-Salpeter equation in coupled channels. The kernels of this equation were obtained using the Lagrangians coming from the hidden local gauge symmetry, where the interactions are dominated by the exchange of light vector mesons. The extension of this approach to the heavy sector stems from the realization that the dominant interaction corresponds to having the heavy quarks as spectators, which implies the preservation of the heavy quark symmetry. As a result, we get several states: two states from the pseudoscalar meson-baryon interaction with $J^P=1/2^-$, and masses around $4080$ and $4090$ MeV, and one at $4150$ MeV for $J^P=3/2^-$. Furthermore, from the vector meson-baryon interaction we get three states degenerate with $J^P=1/2^-$ and $3/2^-$ from $4220$ MeV to $4330$ MeV, and two more states around $4280$ MeV and $4410$ MeV, degenerate with $J^P=1/2^-,, 3/2^-$ and $5/2^-$.
The production of strange particles $Xi_{c}^{+}, K^{-}$ is simulated in mid-rapidity $pp$ collisions at $sqrt{s}=7$ TeV with $0.2 leq pt leq 6$~GeV/c using the {footnotesize PACIAE} model. The results are consistent with LHCb experimental data on $Xi_{c}^{+}$ and $K^{-}$ yield. Then, a dynamically constrained phase-space coalescence ({footnotesize DCPC}) model plus {footnotesize PACIAE} model was used to produce the $Xi_{c}^{+}K^{-}$ bound states and study the narrow excited $Omega_{c}^{0}$ states through $Omega_{c}^{0} to Xi_{c}^{+}K^{-}$ in $pp$ collisions at $sqrt{s}=7$ and 13 TeV. The yield, transverse momentum distribution, and rapidity distribution of the five new excited $Omega_{c}^{0}$ states of $Omega_{c}(3000)^{0}$, $Omega_{c}(3050)^{0}$, $Omega_{c}(3066)^{0}$,$Omega_{c}(3090)^{0}$and $Omega_{c}(3119)^{0}$ were predicted.
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