Abstract
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 $5/2^-$.
Highlights
Over the last decade, the field of hadron spectroscopy is living a new era due to a large bulk of experimental results, which has triggered an intense theoretical activity in order to describe and understand these experimental data
Stimulated by the new experimental LHCb findings associated with the Ωc 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 Ξcc molecular states in the C 1⁄4 2, S 1⁄4 0, and I 1⁄4 1=2 sector
We show the poles we have found according to the procedure discussed previously. They are related to the interaction involving a pseudoscalar meson and 1=2þ baryon in S-wave, such that for this case we have poles associated to the JP 1⁄4 1=2− quantum numbers
Summary
The field of hadron spectroscopy is living a new era due to a large bulk of experimental results, which has triggered an intense theoretical activity in order to describe and understand these experimental data. [14] had predicted a doubly heavy baryon state in which the mass value obtained is close to the one measured by the LHCb. Using the one gluon exchange model, the authors of Ref. [26] an S-wave scattering of ground state doubly charmed baryons (Ξþccþ; Ξþcc; Ωþcc) and the light pseudoscalar (π, K, η) mesons was implemented by means of chiral effective theory, and several DCB resonances were predicted This is interesting and, since the LHCb has observed Ωc resonances, we can expect that there may exist Ξcc resonances as well. Stimulated by the LHCb recent discovery of a doubly charmed baryon structure, Ξþccþ, we have used this same approach in order to investigate DCB states, that can be dynamically generated through the interaction between doubly and singly charmed baryon with pseudoscalar and vector mesons with or without charm. This will certainly be a good scenario to test most of the models which are used to understand those states from the multiquark point of view
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