The Theoretical Study of $p\bar{p}\to \bar{\Lambda }\Sigma \eta$ Reaction

Abstract

We study the production of hyperon resonances in the $p\bar{p}\to \bar{\Lambda }\Sigma \eta$ reaction within an effective Lagrangian approach. The model includes the production of $\Sigma (1750)$ and $\Lambda (1670)$ 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 $\Sigma (1750)\Sigma \eta$ vertex, $\Sigma (1750)$ is found a significant contribution near the threshold in this reaction. We provide total and differential cross section predictions for the reation and discuss the possible influence of $\Sigma (1750)\Sigma \eta$ vertex coupling and model parameters, which will be useful in future experimental studies. This reaction can provide a platform for studying the features of $\Sigma (1750)$ resonance, especially the coupling to $\Sigma \eta$ channel.