Abstract

We review our results on Zc-like states [1] which we complete with the ones on Zb-like states by using relativistic QCD Laplace Sum Rules (LSR) within stability criteria and including Factorized Next-to-Leading Order (FNLO) Perturbative (PT) corrections and Lowest Order (LO) QCD condensates up to 〈G3〉. We emphasize the importance of PT radiative corrections for heavy quark sum rules in order to justify the use of the running heavy quark mass in the analysis. Our estimates are compiled in Tables 3 and 4. From our results, the observed Zcs(3983) state are good candidate for being Tcs tetramole (superposition of nearly degenerated molecules and tetraquark states having the same quatum numbers JPC and with almost the same couplings to the currents). The Zcs bump around 4100 MeV can be interpreted as a combination of D0⁎Ds1 and Ds0⁎D1 molecules. The physical states Zcs(4000) and Zcs(4220) found by LHCb are too low to be considered as the first radial excitations of Zcs(3983). For the future Zb, Zbs and Zbss, we suggest to scan the region around (10.3 ∼ 10.9) GeV while the 1st radial excitations are about 2.4 GeV above the ground states.

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