Photoproduction and lineshape of Λ(1405) ->Σ⁰π⁰at GlueX

The "line shape" of a resonance can be described as the mass or energy dependence of the resonance decay into a specific final state. For many resonances in hyperon spectroscopy the line shape can be modelled by a Breit-Wigner distribution. However, previous measurements of the line shape of Λ(1405) are significantly distorted from a Breit-Wigner form. Also the Λ(1405) is located around the $N\bar{K}$ threshold which adds more interest to study it. The Λ(1405) mainly decays to Σ⁺π^-, Σ^-π⁺ and Σ⁰π⁰ modes with each having ~33% branching fraction. Studying the  pure I=0 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. This will provide important constraints for theoretical models of the Λ(1405). 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 of dσ/dm from analyzing the reaction γ p -> K⁺Λ(1405) using the data collected during the first phase of the GlueX experiment. Preliminary fits to the line shape are also shown.