Studies on photo- and electro-productions of $Λ(1405)$ via $γ^{(*)} p\to K^{*+}π^0Σ^0$

Abstract

We study the photo- and electro-productions of the vector kaon off the proton, i.e., $γ^{(*)}p\to K^{*+}π^0Σ^0$, and investigate the line shape of the $π^0Σ^0$ invariant mass in an effective Lagrangian approach with the inclusion of a $K^*NΛ^*$ interaction. Relevant electromagnetic form factors for the neutral hyperons and charged strange mesons are constructed by considering experimental and theoretical information. We find that the $Λ^*$ peak is clearly observed for the photo- and electro-productions with the finite $K^*NΛ^*$ interaction, whereas the clear peak signals survive only for the electro-production, when we ignore the interaction. These different behaviors can be understood by different $Q^2$ dependences in the $K^*$ electromagnetic and $K^*\toγK$ transition form factors. We suggest a photon-polarization asymmetry $Σ$ to extract information of the $K^*NΛ^*$ interaction. It turns out that $Σ$ near the $Λ^*$ peak region becomes negative with a finite $K^*NΛ^*$ interaction while positive without it for $Q^2 = 0$, due to the different naturalities of $K$ and $K^*$ exchanges. For $Q^2\ne 0$, we observe more obvious signals in the peak region due to the additional contribution of the longitudinal virtual photon for $Λ^*$.