The theoretical study of \(p\bar{p}\rightarrow \bar{\Lambda }\Sigma \eta \) reaction

We study the production of hyperon resonances in the \(p\bar{p}\rightarrow \bar{\Lambda }\Sigma \eta \) 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 \(K^*\) 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 reaction 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.