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

TL;DR

This study uses QCD sum rules with specific currents to investigate whether certain dibaryon states are genuine bound states or just scattering states, finding evidence for the existence of molecular dibaryon states.

Contribution

It introduces a method to distinguish between dibaryon states and scattering states using color-singlet currents in QCD sum rules, highlighting the potential for molecular state formation.

Findings

Two-baryon scattering states cannot saturate the sum rules.

Dibaryon states couple to molecular states, not scattering states.

Molecular states contribute at order () in () calculations.

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 $\mathcal{O}(\alpha_s^2)$.