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

Abstract

We study the production of hyperon resonances in the $$p\bar{p}\rightarrow \bar{\Lambda }\Sigma \eta $$ p p ¯ → Λ ¯ Σ η reaction within an effective Lagrangian approach. The model includes the production of $$\Sigma (1750)$$ Σ ( 1750 ) and $$\Lambda (1670)$$ Λ ( 1670 ) in the intermediate state excited by the K and $$K^*$$ K ∗ meson exchanges between the initial proton and antiproton. Due to the large coupling of $$\Sigma (1750)\Sigma \eta $$ Σ ( 1750 ) Σ η vertex, $$\Sigma (1750)$$ Σ ( 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 $$\Sigma (1750)\Sigma \eta $$ Σ ( 1750 ) Σ η vertex coupling and model parameters, which will be useful in future experimental studies. This reaction can provide a platform for studying the features of $$\Sigma (1750)$$ Σ ( 1750 ) resonance, especially the coupling to $$\Sigma \eta $$ Σ η channel.