Abstract
In this article, we study the scalar-diquark–scalar-diquark–scalar-diquark type hexaquark state with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension 16. We obtain a lowest hexaquark mass of 6.60^{+0.12}_{-0.09},mathrm {GeV}, which can be confronted with the experimental data in the future.
Highlights
In the past years, a number of new charmonium-like states have been observed; some are excellent candidates for the exotic states, such as tetraquark states and molecular states, and the spectroscopy of the charmonium-like states has attracted much attention [1]
The QCD sum rules play an important role in assigning those new charmonium-like states [2–12]
We extend our previous work to the study of the scalar hexaquark state uuddcc with the QCD sum rules in detail
Summary
A number of new charmonium-like states have been observed; some are excellent candidates for the exotic states, such as tetraquark states and molecular states, and the spectroscopy of the charmonium-like states has attracted much attention [1]. We study the energy-scale dependence of the QCD sum rules for the hidden-charm and hidden-bottom tetraquark states and molecular states for the first time, and we suggest a formula, μ=. We extend our previous work to the study of the scalar hexaquark state uuddcc with the QCD sum rules in detail. In the QCD sum rules for the six-quark states, the largest power of the QCD spectral densities ρ(s) ∝ s7, the pole dominance condition is more difficult to satisfy compared to the QCD sum rules for the four-quark states. The article is arranged as follows: we derive the QCD sum rules for the mass and pole residue of the scalar doubly charmed hexaquark state. The article is arranged as follows: we derive the QCD sum rules for the mass and pole residue of the scalar doubly charmed hexaquark state. in Sect. 2; in Sect. 3, we present the numerical results and discussions; and Sect. 4 is reserved for our conclusion
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