Constraining the chirally motivated πΣ−K¯N models with the πΣ photoproduction mass spectra

Abstract

The paper presents a first time attempt on a combined fit of the $K^{-}p$ low-energy data and the πΣ photoproduction mass spectra, performed without fixing the meson-baryon rescattering amplitudes to a specific $\pi \Sigma -\overline{K}N$ coupled channels model obtained from fitting exclusively the $K^{-}p$ data. The formalism adopted to describe the photoproduction process is based on chiral perturbation theory and employs a limited number of free parameters. The achieved description of the photoproduction mass distributions is not quite satisfactory, leaving a room for improving the photo-kernel construction. Although the presented models tend to constrain the positions of the $\Lambda \left(1405\right)$ poles it is difficult to draw any conclusions before accomplishing better data reproduction.