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Triply-charmed dibaryon states or two-baryon scattering states from the QCD sum rules?

In this article, we construct the color-singlet-color-singlet type currents to study the scalar and axialvector $Ξ_{cc}Σ_c$ dibaryon states with QCD sum rules in details by taking into account both the dibaryon states and two-baryon scattering sates at the hadron side, and examine the existence of the $Ξ_{cc}Σ_c$ dibaryon states. Our calculations indicate that the two-baryon scattering states cannot saturate the QCD sum rules, it is necessary to introduce the dibaryon states, the color-singlet-color-singlet type currents couple potentially to the molecular states, not to the two-particle scattering states, the molecular states begin to receive contributions at the order $\mathcal{O}(α_s^0)$, not at the order $\mathcal{O}(α_s^2)$.

preprint2020arXivOpen access

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