The Theoretical Study of $Σ^{+} p \toΛa_0^{+} p$ Reaction

Abstract

We conducted a theoretical study on the process $Σ^{+} p \toΛa_0^{+} p$ based on an effective Lagrangian approach. This model encompasses the excitation of intermediate states leading to the production of $Δ(1920)$ through $π^{+}$ and $K^{+}$ meson exchanges between the initial $Σ^{+}$ baryon and the initial proton $p$, as well as the generation of $Δ(1940)$ via $π^{+}$ and $ρ^{+}$ meson exchanges. We provide predictions for the total and differential cross sections and discuss the potential impacts of cutoff parameters, off-shell effects, and branching ratios on the $Δ^{\ast} \to a_0 p$ decay. Given the dominance of $Δ(1940)$ in the region close to the reaction threshold, this reaction is considered an ideal platform for deeply exploring the unique properties of the $Δ(1940)$ resonance. Through this approach, we can gain a more precise understanding of the intrinsic characteristics of this particle.