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

Abstract

In this article, we construct the color-singlet-color-singlet type currents to study the scalar and axialvector ${\Xi }_{cc}{\Sigma }_c$ 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 ${\Xi }_{cc}{\Sigma }_c$ 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 $\mathcal{O}({\alpha }_s^0)$, not at the order $\mathcal{O}({\alpha }_s^2)$.

Comments: 16 pages, 11 figures