Study of $Λ_c$Λ_c$dibaryon and$Λ_c$\barΛ_c$ baryonium states via QCD sum rules

Abstract: In this article, we construct the six-quark currents with the $J<sup>P=0<sup>+$, $0^-$, $1^+$ and $1^-$ to study the $\Lambda_c$\Lambda_c$dibaryon and$\Lambda_c$\bar{\Lambda}<em>c$ baryonium states via QCD sum rules. We consider the vacuum condensates up to dimension 16 and truncation of the order $\mathcal{O}(\alpha_s^k )$ with $k\leq3$. The predicted masses are $5.11</em>{-0.12}<sup>{+0.15}$GeV, $4.66_{-0.06}<sup>{+0.10}$GeV, $4.99_{-0.09}<sup>{+0.10}$GeV $4.68<sup>{+0.08}_{-0.08}$GeV for the $J<sup>P=0<sup>+$, $0^-$, $1^+$ and $1^-$ states, respectively, which can be confronted to the experimental data in the future considering the high integrated luminosity at the center-of-mass energy about $4.8\,\rm{GeV}$ at the BESIII. We find the terms with $\frac{3}{2}&lt; k \leq 3$ do play a tiny role, and we can ignore these terms safely in the QCD sum rules.