Eur. Phys. J. C (2024) 84: 1107
https://doi.org/10.1140/epjc/s10052-024-13484-0

Regular Article - Theoretical Physics

The theoretical study of $p\overline{p}\to \overline{\mathrm{\Lambda }}\mathrm{\Sigma }\eta$ reaction

¹ School of Physics, Dalian University of Technology, 116024, Dalian, People’s Republic of China
² School of Physics and Optoelectronics Engineering, Anhui University, 230601, Hefei, People’s Republic of China

^d haosun@dlut.edu.cn

Received: 15 September 2024
Accepted: 9 October 2024
Published online: 24 October 2024

Abstract

We study the production of hyperon resonances in the $p\overline{p}\to \overline{\mathrm{\Lambda }}\mathrm{\Sigma }\eta$ reaction within an effective Lagrangian approach. The model includes the production of $\mathrm{\Sigma }(1750)$ and $\mathrm{\Lambda }(1670)$ in the intermediate state excited by the K and $K^{\ast }$ meson exchanges between the initial proton and antiproton. Due to the large coupling of $\mathrm{\Sigma }(1750)\mathrm{\Sigma }\eta$ vertex, $\mathrm{\Sigma }(1750)$ is found a significant contribution near the threshold in this reaction. We provide total and differential cross section predictions for the reaction and discuss the possible influence of $\mathrm{\Sigma }(1750)\mathrm{\Sigma }\eta$ vertex coupling and model parameters, which will be useful in future experimental studies. This reaction can provide a platform for studying the features of $\mathrm{\Sigma }(1750)$ resonance, especially the coupling to $\mathrm{\Sigma }\eta$ channel.