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

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 $k\le 3$. 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 $4.8\mathrm{GeV}$ at the BESIII. We find the terms with $\frac{3}{2}<k\le 3$ do play a tiny role, and we can ignore these terms safely in the QCD sum rules.

Comments: 49 pages,16 figures