Eur. Phys. J. A (2021) 57: 275
https://doi.org/10.1140/epja/s10050-021-00576-8

Regular Article - Theoretical Physics

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

¹ School of Mathematics and Physics, North China Electric Power University, 071003, Baoding, People’s Republic of China
² School of Nuclear Science and Engineering, North China Electric Power University, 102206, Beijing, People’s Republic of China

^a wangxiuwu2020@163.com

Received: 30 April 2021
Accepted: 26 August 2021
Published online: 18 September 2021

Abstract

In this article, we construct the six-quark currents with the $J^P=0^{+}$, $0^{-}$, $1^{+}$ and $1^{-}$ to study the ${\mathrm{\Lambda }}_c$${\mathrm{\Lambda }}_c$ dibaryon and ${\mathrm{\Lambda }}_c$${\overline{\mathrm{\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.