Abstract
We present a neat example of a meson--baryon system where the vicinity of two different thresholds enhances the binding of a hadronic resonance, a pentaquark. As a consequence the pattern of states may change when moving among different flavor sectors, what poses a warning on naive extrapolations to heavy flavor sectors based on systematic expansions. For this purpose we simultaneously analyze the $N\bar D$ and $NB$ two-hadron systems looking for possible bound states or resonances. When a resonance is controlled by a coupled-channel effect, going to a different flavor sector may enhance or diminish the binding. This effect may, for example, generate significant differences between the charmonium and bottomonium spectra above open-flavor thresholds or pentaquark states in the open-charm and open-bottom sectors.
Highlights
We present a neat example of a meson–baryon system where the vicinity of two different thresholds enhances the binding of a hadronic resonance, a pentaquark
It was pointed out that two of the possible dissociation thresholds are almost exactly degenerate, the one corresponding to spin-singlet charmed meson plus a spin-triplet anti-charmed meson, and the one made of a light vector-meson and a charmonium vector-meson
The conclusions of this study aim to be independent of the particular details of the interacting model used, we for instance made use of the chiral constituent quark model (CCQM) of Ref. [13]
Summary
We present a neat example of a meson–baryon system where the vicinity of two different thresholds enhances the binding of a hadronic resonance, a pentaquark. Our objective is to highlight a particular case where the vicinity of thresholds will enhance the binding of the baryon-meson system disrupting the number and the ordering of states obtained in the charm sector.
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