Doubly hidden 0++ molecules and tetraquarks states from QCD at NLO

Motivated by the LHCb-group discovery of exotic hadrons in the range (6.2 similar to 6.9) GeV, we present new results for the masses and couplings of 0(++) fully heavy ((Q) over bar Q)(Q (Q) over bar) molecules and (QQ)((QQ) over bar) 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 < G(3)>. 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 similar to 6.9) GeV can be described by the (eta) over bar (c)eta(c), (J/psi) over bar J/psi and (chi) over bar (c1)chi(c1) molecules or/and (S) over bar S-c(c), (A) over bar Ac-c and (V) over bar (c)Vc tetraquarks lowest mass ground states. The narrow structure at (6.8 similar to 6.9) GeV if it is a 0(++) state can be a (chi) over bar (c0) chi(c0) molecules or/and its analogue (P) over bar P-c(c) tetraquark. The (chi) over bar (c1)chi c1 predicted mass is found to be below the chi(c1)chi(c1) threshold while for the beauty states, all of the estimated masses are above the eta(b)eta(b) and Upsilon(1S)Upsilon(1S) threshold.

Automated summary

This study presents new results for the masses and couplings of 0(++) fully heavy molecules and tetraquarks states from relativistic QCD Laplace Sum Rule (LSR) with Next-to-Leading Order (NLO) Factorized (F) Perturbative (PT) corrections. The importance of PT radiative corrections for heavy quark sum rules is emphasized, showing predicted masses for different molecular and tetraquark structures. The comparison and analysis suggest the existence of various molecular and tetraquark structures within specific mass ranges.