The $\bar{K} N \rightarrow K \Xi$ reaction in coupled channel chiral models up to next-to-leading order

TL;DR

This study models the meson-baryon interaction in the strangeness S=-1 sector using a chiral SU(3) Lagrangian up to NLO, fitting experimental data and including hyperon resonances to better understand the $ar{K} N ightarrow K ext{ extonehalfslash} extonehalfslash$ reaction.

Contribution

It introduces a coupled channel chiral model up to NLO fitted to experimental data, incorporating hyperon resonances to improve $K ext{ extonehalfslash} extonehalfslash$ production predictions.

Findings

Model successfully fits experimental data across channels.

Including hyperon resonances improves $K ext{ extonehalfslash} extonehalfslash$ reaction description.

Highlights the importance of NLO terms in meson-baryon interactions.

Abstract

The meson-baryon interaction in s-wave in the strangeness S=-1 sector has been studied, employing a chiral SU(3) Lagrangian up to next-to-leading order (NLO) and implementing unitarization in coupled channels. The parameters of the Lagrangian have been fitted to a large set of experimental data in different two-body channels, paying special attention to the $\bar{K} N \rightarrow K \Xi$ reaction, which is particularly sensitive to the NLO terms. With the aim of improving the model in the $K\Xi$ production channels, effects of the high spin hyperon resonances $\Sigma(2030)$ and $\Sigma(2250)$ have been taken into account phenomenologically.