Stimulated by the new experimental LHCb findings associated with the ${\mathrm{\Omega }}_c$ 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 ${\mathrm{\Xi }}_{cc}$ 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 general Lagrangians coming from the hidden local gauge symmetry or massive Yang-Mills theory, and 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: three states from the pseudoscalar meson-baryon interaction with $J^P=1/2^{-}$, and masses around 3840, 4080 and 4090 MeV, and two at 3920 and 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 4290 MeV, and two more states around 4280 and 4370 MeV, degenerate with $J^P=1/2^{-},3/2^{-}$, and $5/2^{-}$.

• Received 30 May 2018

DOI:https://doi.org/10.1103/PhysRevD.98.094017

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society