Meson-baryon reactions with strangeness -1 within a chiral framework

TL;DR

This paper uses a chiral perturbation theory framework to analyze meson-baryon reactions with strangeness -1, incorporating experimental data including kaonic hydrogen measurements, to constrain scattering amplitudes and explore the structure of the Lambda(1405) resonance.

Contribution

It introduces a comprehensive analysis of meson-baryon scattering with strangeness -1 using coupled channels and experimental constraints, including the SIDDHARTA data, to refine scattering amplitudes and resonance structures.

Findings

Good reproduction of experimental data despite uncertainties.

Large uncertainties in subthreshold extrapolation depending on decay constant assumptions.

Identification of the two-pole structure of the Lambda(1405) resonance.

Abstract

We study meson-baryon scattering with strangeness -1 in unitary chiral perturbation theory. Ten coupled channels are considered in our work, namely $\pi^0 \Lambda$, $\pi^0 \Sigma^0$, $\pi^- \Sigma^+$, $\pi^+ \Sigma^-$, $K^- p$, $\bar{K}^0 n$, $\eta \Lambda$, $\eta \Sigma^0$, $K^0 \Xi^0$ and $K^+ \Xi^-$. A large amount of experimental data are analyzed, including the recent precise measurement by the SIDDHARTA Collaboration of the energy shift and width of the $1s$ state of kaonic hydrogen. This leads to a strong constraint on the free parameters in our theory and of the resulting meson-baryon scattering amplitudes. We also analyze the uncertainty that stems by using several different strategies to perform the fits to data. It is found that large uncertainties in the subthreshold extrapolation of the $K^-p$ scattering amplitude arise by employing either only one common weak pseudoscalar decay constant or distinguishing between $f_\pi$, $f_K$ and $f_\eta$. However, in both cases a good reproduction of experimental data is obtained. We also discuss the pole content of the resulting $S$-wave amplitudes, particularly in connection with the two-pole structure of the $\Lambda(1405)$ resonance.