Abstract
We resume our results on the heavy quarkonium hybrids [19], and on the recently observed pentaquark states [16–18]. The latter have been investigated in three different scenarios: as compact pentaquark states [20], as a quantum superposition of D(*)Λc, D(*)Σc andD(*)Σ(*)c$D^{(\ast )} \Sigma _{c}^{(\ast )}$andmeson-baryon states [30], and as a quantum superposition of meson-baryon molecular states and compact five-quark states [31].
Highlights
Charmonia ccand hybrids ccgA deeper understanding of the importance of gluon degrees of freedom in hadron spectra has been possible through lattice simulations [1,2,3] and various effective models [4,5,6,7,8,9,10,11]
The LHCb collaboration reported the observation of two hidden-charm pentaquarks, P+c (4380) and P+c (4450), in Λ0b → J/ψK− p decay [16,17,18]
The effective potential, which originate from excited gluon configurations, can be computed using lattice simulations, and afterwards used to construct hybrid heavy quarkonia
Summary
A deeper understanding of the importance of gluon degrees of freedom in hadron spectra has been possible through lattice simulations [1,2,3] and various effective models [4,5,6,7,8,9,10,11]. This different order of the spin-parity levels consists in the fact that, as one can see from Fig. 1 the lightest hybrid supermultiplet is the one with JPC = 1−+, in agreement with lattice predictions (reported in the same figure). In 2005 the BaBar collaboration reported the observation of broad structure in π+π− J/Ψ mass spectrum with spin-parity JPC = 1−− [14] The mass of this state, about 4260 MeV, is very close to the predicted mass of the lightest hybrid supermultiplet. A possible hybrid nature of this state cannot be excluded
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