# Hyperon-nucleon Scattering In A Covariant Chiral Effective Field Theory Approach

## TL;DR

This paper applies a covariant chiral effective field theory to hyperon-nucleon interactions, achieving a good fit to scattering data and suggesting a more efficient potential construction method.

## Contribution

It introduces a covariant approach with 12 low energy constants, differing from the heavy baryon method, and demonstrates its effectiveness in describing hyperon-nucleon scattering.

## Key findings

- Achieves a chi-squared of about 17 for 36 data points.
- Uses 12 low energy constants due to Lorentz invariance.
- Provides a comparable or better fit than previous approaches.

## Abstract

A recently proposed covariant chiral effective field theory approach is applied to study strangeness $S=-1$ hyperon-nucleon interactions at leading order. 12 low energy constants are introduced by Lorentz invariance, which is different from the heavy baryon approach, where only five appear. The Kadyshevsky equation is employed to iterate the chiral potentials. A quite satisfactory description of the 36 hyperon-nucleon scattering data is obtained with $\chi^2\simeq 17$, which is comparable with the next-to-leading order heavy baryon approach. The results hint at a more efficient way to construct the chiral potentials.