Study of $\Lambda_c$$\Lambda_c$ dibaryon and $\Lambda_c$$\bar{\Lambda}_c$ baryonium states via QCD sum rules

TL;DR

This study uses QCD sum rules to predict the masses of various $ ext{Lambda}_c$ dibaryon and baryonium states with different quantum numbers, providing theoretical insights for future experimental searches.

Contribution

It constructs six-quark currents with specific quantum numbers and calculates their masses considering high-dimension condensates, offering new mass predictions for these exotic states.

Findings

Predicted masses range from 4.66 to 5.11 GeV.

Terms with $k$ between 3/2 and 3 are negligible in calculations.

Results can be tested at BESIII with high luminosity.

Abstract

In this article, we construct the six-quark currents with the $J^P=0^+$, $0^-$, $1^+$ and $1^-$ to study the $\Lambda_c$$\Lambda_c$ dibaryon and $\Lambda_c$$\bar{\Lambda}_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 $5.11_{-0.12}^{+0.15}$GeV, $4.66_{-0.06}^{+0.10}$GeV, $4.99_{-0.09}^{+0.10}$GeV $4.68^{+0.08}_{-0.08}$GeV for the $J^P=0^+$, $0^-$, $1^+$ 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 $\frac{3}{2}< k \leq 3$ do play a tiny role, and we can ignore these terms safely in the QCD sum rules.