Search for the $\Lambda_c\Sigma_c$ and $\bar{\Lambda}_c\Sigma_c$ dibaryon structures via the QCD sum rules

TL;DR

This study uses QCD sum rules to explore potential $ ext{Lambda}_c ext{Sigma}_c$ and $ar{ ext{Lambda}}_c ext{Sigma}_c$ dibaryon states, identifying three possible molecular states and suggesting others are resonances.

Contribution

Constructed hexaquark currents and analyzed their masses to identify possible dibaryon molecular and resonance states.

Findings

Identified three potential molecular dibaryon states with specific quantum numbers.

Determined five states are unlikely to form bound dibaryons, classifying them as resonances.

Used QCD sum rules with eight pairs of hexaquark currents for analysis.

Abstract

In this paper, we construct eight pairs of hexaquark currents to search the $\Lambda_c\Sigma_c$ and $\bar{\Lambda}_c\Sigma_c$ dibaryon states via QCD sum rules. We show that the two currents of each pair are equivalent and we choose one of them to calculate the masses and pole residues of ground states. For either $\Lambda_c\Sigma_c$ or $\bar{\Lambda}_c\Sigma_c$, the $J^P$ of the considered hexaquark currents are $0^-$, $0^+$, $1^+$ and $1^-$, respectively. We found three possible molecular states, they are $\Lambda_c\Sigma_c$ dibaryon with the $J^P=1^+$ and $\bar{\Lambda}_c\Sigma_c$ dibaryons with the $J^P=0^-$ and $1^-$. The other five are unlikely to form the bound dibaryon states, and we assign them as the resonance states.