Chiral model for $\bar{K}N$ interactions and its pole content

TL;DR

This paper develops a chiral effective model for antikaon-nucleon interactions, analyzing pole structures to gain insights into the coupled $ar{K}N$ and $\pi\Sigma$ systems, and compares results with other theoretical approaches.

Contribution

It introduces a chiral model for $ar{K}N$ interactions and uses pole movement analysis to deepen understanding of the coupled channel dynamics.

Findings

Successfully describes low energy $ar{K}N$ data and kaonic hydrogen characteristics.

Demonstrates pole movements as a tool for understanding strong coupled-channel interactions.

Provides comparison with unitarity and dispersion relation based approaches.

Abstract

We use chirally motivated effective meson-baryon potentials to describe the low energy $\bar{K}N$ data including the characteristics of kaonic hydrogen. Our results are examined in comparison with other approaches based on the unitarity and dispersion relation for the inverse of the T-matrix. We demonstrate that the movements of the poles generated by the model upon varying the model parameters can serve as a tool to get additional insights on the dynamics of the strongly coupled $\pi\Sigma$-$\bar{K}N$ system.