Photoproduction and lineshape of Λ(1405) → Σ⁰π⁰at GlueX

The invariant mass spectrum or the "line shape" of many resonances in hyperon spectroscopy can be modelled by a Breit-Wigner distribution. However, previous measurements of the line shape of Λ(1405) hyperon state are significantly distorted from a Breit-Wigner form and therefore it has a lot of attention from the hyperon physics community. A study of the Λ(1405) line shape would provide more information on how the Σπ and  $N\bar{K}$ channels contribute to its production. The Λ(1405) mainly decays to Σ⁺π^-, Σ^-π⁺ and Σ⁰π⁰ modes with each having ~33% branching fraction. Studying the Σ⁰π⁰ decay mode provides the advantage that the Λ(1405) mass region is not contaminated by Σ⁰(1385) production, compared to the other two charged decay modes. The GlueX experiment at Jefferson Lab provides an excellent opportunity to study the Λ(1405) → Σ⁰π⁰ decay mode with a photon beam in the energy range 6.5–11.6 GeV incident on a liquid hydrogen target and a large acceptance electromagnetic calorimeter. In this talk, we focus on the preliminary results from analyzing the reaction γp → K⁺Λ(1405)  using the data collected during the first phase of the GlueX experiment.