Abstract

We study baryo-charmonium [ηc- and J/ψ-N⁎, ηc(2S)-, ψ(2S)- and χc(1P)-N] and baryo-bottomonium [ηb(2S)-, ϒ(2S)- and χb(1P)-N] bound states, where N is the nucleon and N⁎ a nucleon resonance. In the baryo-quarkonium model, the five qqqQQ¯ quarks are arranged in terms of a heavy quarkonium core, QQ¯, embedded in light baryonic matter, qqq, with q=u or d. The interaction between the QQ¯ core and the light baryon can be written in terms of the QCD multipole expansion. The spectrum of baryo-charmonium states is calculated and the results compared with the existing experimental data. In particular, we can interpret the recently discovered Pc(4380) and Pc(4450) pentaquarks as ψ(2S)-N and χc2(1P)-N bound states, respectively. We observe that in the baryo-bottomonium sector the binding energies are, on average, slightly larger than those of baryo-charmonia. Because of this, the hidden-bottom pentaquarks are more likely to form than their hidden-charm counterparts. We thus suggest the experimentalists to look for five-quark states in the hidden-bottom sector in the 10.4–10.9 GeV energy region.

Highlights

  • LHCb reported the observation of two new resonances, P c+ (4380) and P+ c (4450), in b → J /ψ ∗ and b → K −( J /ψ p)K − decays [1]

  • We study baryo-charmonium [ηc- and J /ψ-N∗, ηc(2S), ψ(2S)- and χc(1P )-N] and baryo-bottomonium [ηb(2S), Υ(2S)- and χb(1P )-N] bound states, where N is the nucleon and N∗ a nucleon resonance

  • The pentaquarks were introduced in the LHCb analysis of b decays to improve the fit upon the experimental data, because the use of known ∗ states alone was not sufficient to get a satisfactory description of the J /ψ p spectrum [2]

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Summary

Introduction

= |uudcc , whence the name pentaquarks. The pentaquarks were introduced in the LHCb analysis of b decays to improve the fit upon the experimental data, because the use of known ∗ states alone was not sufficient to get a satisfactory description of the J /ψ p spectrum [2]. The pentaquarks masses, resulting from the LHCb best fit, are. Are acceptable solutions [1]; all the preferred fits from LHCb require pentaquarks with opposite parities. From a theoretical point of view, there are a few possible interpretations for a five-quark bound state, including: I) Baryonmeson molecules [3,4,5,6,7,8,9,10,11,12,13], such as

10 MeV below the
Baryo-quarkonium Hamiltonian
Chromo-electric polarizabilities of charmonia as pure Coulombic systems
Chromo-electric polarizabilities from charmonium-nucleon scattering lengths
Chromo-electric polarizabilities of bottomonia
Baryo-bottomonium pentaquark states
Conclusion
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