The Theoretical Study of π⁺p→ pa₀⁺φ Reaction

We study the production of hyperon resonances in the π⁺p→ pa₀⁺φ reaction within an effective Lagrangian approach. The model includes the production of Δ(1940) and Δ(1920) in the intermediate state excited by the ρ and p exchanges between the initial proton and π meson. Due to the large contribution of ρ exchange in Δ(1940) production, Δ(1940) 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 model parameters, off-shell effects and branching ratios for Δ(1940)→ pa₀ and Δ(1920)→ pa₀ decays, which will be useful in future experimental studies. This reaction can provide a platform for studying the features of Δ(1940) resonance, especially the coupling to pa₀ channel.