QCD sum rule study of the tensor $\Delta^0\Delta^0$ dibaryon state

TL;DR

This paper uses QCD sum rules to predict the mass and properties of an exotic tensor $$ dibaryon state, suggesting it could be a bound molecular state below the threshold, guiding future experiments.

Contribution

It constructs a tensor interpolating current and calculates the mass and residue of the $$ dibaryon using QCD sum rules, including vacuum condensates up to dimension nine.

Findings

Predicted mass of $2426^{+101}_{-108}$ MeV.

Mass is about 38 MeV below the $2m_{}$ threshold.

Indicates possible existence of a bound molecular state.

Abstract

We study the exotic $\Delta^{0}\Delta^{0}$ dibaryon state with quantum numbers $J^{P} = 2^{+}$ within the framework of QCD sum rules. A tensor interpolating current is constructed to determine the mass and residue of this state, including explicit calculations of contributions from quark, gluon, and mixed vacuum condensates up to dimension nine. The numerical analysis yields a mass of $m_{\Delta^{0}\Delta^{0}} = 2426^{+101}_{-108}~\mathrm{MeV}$ and a residue of $f_{\Delta^{0}\Delta^{0}} = \left( 2.30^{+0.49}_{-0.45} \right) \times 10^{-4}~\mathrm{GeV}^{8}$. The predicted mass lies about $38~\mathrm{MeV}$ below the $2m_{\Delta^{0}}$ threshold, which indicates the possible existence of a bound molecular configuration. Consequently, the tensor $\Delta^{0}\Delta^{0}$ dibaryon may serve as a promising candidate for future experimental searches.