Analysis of the $\overline{\Xi}_{cc}\Xi_{cc}$ hexaquark molecular state with the QCD sum rules

TL;DR

This paper predicts the mass and quantum numbers of a hexaquark molecular state using QCD sum rules, supporting the identification of the X(7200) as such a state and suggesting experimental decay channels for future searches.

Contribution

It constructs a specific six-quark current and applies QCD sum rules to predict the properties of the $ar{ ext{Xi}}_{cc} ext{Xi}_{cc}$ hexaquark molecular state, providing a theoretical basis for experimental identification.

Findings

Predicted mass of the hexaquark state is approximately 7.2 GeV.

Supports assigning X(7200) as a $ar{ ext{Xi}}_{cc} ext{Xi}_{cc}$ hexaquark molecular state.

Suggests decay channels for experimental detection in various invariant mass spectra.

Abstract

In this work, we construct the color-singlet-color-singlet type six-quark pseudoscalar current to investigate the $\overline{\Xi}_{cc}\Xi_{cc}$ hexaquark molecular state with the QCD sum rules, the predicted mass $M_X \sim 7.2\,\rm{GeV}$ supports assigning the $X(7200)$ to be the $\overline{\Xi}_{cc}\Xi_{cc}$ hexaquark molecular state with the quantum numbers $J^{PC}=0^{-+}$. The $X(7200)$ can decay through fusions of the $\bar{c}c$ and $\bar{q}q$ pairs, we can search for the $X(7200)$ and explore its properties in the $J/\psi J/\psi$, $\chi_{c1}\chi_{c1}$, $D^*\bar{D}^*$ and $D_1\bar{D}_1$ invariant mass spectrum in the future.