# Kaon-Nucleon scattering states and potentials in the Skyrme model

## TL;DR

This paper investigates kaon-nucleon interactions within the Skyrme model, analyzing scattering states, phase shifts, and deriving local potentials, thereby enhancing understanding of hyperon-nucleon forces in a topological soliton framework.

## Contribution

It extends previous work by studying scattering states and phase shifts, and derives local potentials from the Skyrme model for kaon-nucleon interactions.

## Key findings

- Identified central and spin-orbit components in the interaction.
- Analyzed energy dependence and nonlocality of the potential.
- Fitted the interaction to a local Schrödinger equivalent potential.

## Abstract

We study the (anti)kaon nucleon interaction in the Skyrme model. The kaon field is introduced as a fluctuation around the rotating Skyrmion for the nucleon. As an extension of our previous work, we study scattering states and examine phase shifts in various kaon-nucleon channels. Then we study the interaction, where we find that it consists of central and spin-orbit components for isospin channels, $I = 0, 1$, with energy dependence and nonlocality. The interaction is then fitted to a Shr\"odinger equivalent local potential for s- and p-waves.