Résumé
Motivated by the LHCb-group discovery of exotic hadrons in the range (6.2 ∼ 6.9) GeV, we present new results for the masses and couplings of 0++ fully heavy (Q‾Q)(QQ‾) molecules and (QQ)(QQ‾) tetraquaks states from relativistic QCD Laplace Sum Rule (LSR) within stability criteria where Next-to-Leading Order (NLO) Factorized (F) Perturbative (PT) corrections is included. As the Operator Product Expansion (OPE) usually converges for d ⩽ 6–8, we evaluated the QCD spectral functions at Lowest Order (LO) of PT QCD and up to 〈G3〉. We also emphasize the importance of PT radiative corrections for heavy quark sum rules in order to justify the use of the running heavy quark mass value in the analysis. We compare our predictions in Table 3 with the ones from ratio of Moments (MOM). The broad structure arround (6.2 ∼ 6.9) GeV can be described by the η‾cηc, J/ψ‾J/ψ and χc1‾χc1 molecules or/and Sc‾Sc, Ac‾Ac and Vc‾Vc tetraquarks lowest mass ground states. The narrow structure at (6.8 ∼ 6.9) GeV if it is a 0++ state can be a χc0‾χc0 molecules or/and its analogue Pc‾Pc tetraquark. The χc1‾χc1 predicted mass is found to be below the χc1χc1 threshold while for the beauty states, all of the estimated masses are above the ηbηb and ϒ(1S)ϒ(1S) threshold.