Testing chiral unitary models for the $Λ(1405)$ in $K^{+}πΣ$ photoproduction

We adopt a novel formalism for the low-energy analysis of the $γp \to K^{+}πΣ$ photoproduction reaction to calculate the $πΣ$ invariant mass distributions in the $Λ(1405)$ resonance region. The approach adheres to constraints arising from unitarity, gauge invariance and chiral perturbation theory, and is used without adjusting any model parameters. It is found that the meson-baryon rescattering in the final state has a major impact on the magnitude and structure of the generated spectra that are compared with the experimental data from the CLAS collaboration. We demonstrate a large sensitivity of the theoretical predictions to the choice of the coupled-channel $πΣ- \bar{K}N$ model amplitudes which should enable one to constrain the parameter space of these models.

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