Search for the charmed baryonium and dibaryon structures via the QCD sum rules

TL;DR

This study uses QCD sum rules to explore potential charmed baryonium and dibaryon states, identifying possible molecular and resonant configurations with specific quantum numbers and calculating their properties.

Contribution

The paper constructs eight six-quark currents to investigate charmed baryonium and dibaryon states, revealing potential molecular and resonant states with specific quantum numbers and binding energies.

Findings

Identified possible $ ext{Sigma}_car{ ext{Sigma}}_c$ molecular states with $J^P=1^-, 0^-$.

Found $ ext{Sigma}_c ext{Sigma}_c$ molecular state with 20 MeV binding energy.

Predicted four resonance states with specific quantum numbers and calculated their pole residues.

Abstract

In the present work, we construct eight six-quark currents to study the $\Sigma_c\bar{\Sigma}_c$ baryonium and $\Sigma_c\Sigma_c$ dibaryon states via the QCD sum rules. For either $\Sigma_c\bar{\Sigma}_c$ baryonium or $\Sigma_c\Sigma_c$ dibaryon states, we construct four currents with the $J^P=1^-, 1^+, 0^+$ and $0^-$. Except the current $1^+$ of $\Sigma_c\Sigma_c$, we find the Borel windows for the other seven. There are two possible $\Sigma_c\bar{\Sigma}_c$ molecular states or compact six-quark states with the $J^P=1^-$ and $0^-$. The results of the current $0^+$ of $\Sigma_c\Sigma_c$ show a possible $\Sigma_c\Sigma_c$ molecular state with $20$ MeV binding energy. We find two $\Sigma_c\bar{\Sigma}_c$ baryonium resonances states with the $J^P=1^+, 0^+$ and two $\Sigma_c\Sigma_c$ dibaryon resonances states with the $J^P=0^-, 1^-$, respectively. Pole residues of the seven states are also calculated.