We study the possibility that at least one of the two pentaquark structures
recently reported by LHCb can be described as a compact pentaquark state, and
we give predictions for new channels that can be studied by the
experimentalists if this hypothesis is correct. We use very general arguments
dictated by symmetry considerations, in order to describe the pentaquark states
within a group theory approach. A complete classification of all possible
states and quantum numbers, that can be useful both to the experimentalists,
for new finding, or to theoretical model builders, are given, without the
introduction of any particular dynamical model. Some prediction are finally
given using a Guersey-Radicati inspired mass formula. We reproduce the mass and
the quantum numbers of the lightest pentaquark state reported by LHCb ( 3/2^-),
with a parameter free mass formula, fixed on the well established baryons. We
predict others pentaquark resonances (giving their masses, and suggesting
possible decay channels) which belong to the same multiplet of the lightest
one.Finally, we compute the partial decay widths for all the predicted
pentaquark resonances.Comment: 7 pages, 7 figures, Revised version:Section II has been
rewritten,Section VI it has been added. In Section VI we compute the partial
decay widths for all the predicted pentaquark resonance
In this paper, we investigate the hidden-charm pentaquarks asD ( * ) Λ c andD ( * ) Σ ( * ) c molecules coupled to the five-quark states. Furthermore, we extend our calculations to the hidden-bottom sector. The coupling to the five-quark states is treated as the short range potential, where the relative strength for the meson-baryon channels is determined by the structure of the five-quark states. We found that resonant and/or bound states appear in both the charm and bottom sectors.The five-quark state potential turned out to be attractive and, for this reason, it plays an important role to produce these states. In the charm sector, we need the five-quark potential in addition to the pion exchange potential in producing bound and resonant states, whereas, in the bottom sector, the pion exchange interaction is strong enough to produce states. Thus, from this investigation, it emerges that the hidden-bottom pentaquarks are more likely to form than their hidden-charm counterparts; for this reason, we suggest that the experimentalists should look for states in the bottom sector.
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