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

TL;DR

This paper presents a theoretical analysis of the $par{p} oar{ ext{Lambda}} ext{Sigma} ext{eta}$ reaction, highlighting the role of hyperon resonances, especially $ ext{Sigma}(1750)$, using an effective Lagrangian approach to predict cross sections.

Contribution

It introduces a detailed theoretical model including hyperon resonances and meson exchanges, providing predictions for cross sections relevant for future experiments.

Findings

$ ext{Sigma}(1750)$ significantly influences the reaction near threshold.

The model predicts total and differential cross sections for the reaction.

The $ ext{Sigma}(1750) ext{Sigma} ext{eta}$ vertex coupling impacts the reaction dynamics.

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 $K^*$ 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.