Production of hyperon resonances induced by kaon on a deuteron target

TL;DR

This paper theoretically investigates the production of hyperon resonances $\Sigma(1385)$ and $\Lambda(1405)$ via kaon interactions with deuteron targets, highlighting the distinct production mechanisms and spectral features.

Contribution

It introduces a comprehensive model including p-wave and s-wave amplitudes for meson-baryon scatterings to analyze hyperon resonance production in kaon-deuteron reactions.

Findings

$\Lambda(1405)$ appears at 1420 MeV in the spectrum.

The model reproduces experimental invariant mass spectra.

Pion exchange provides a smooth background without affecting resonance peaks.

Abstract

The $K^- d \to \pi YN$reaction is theoretically studied so as to investigate the $K^{-}$-induced production of the hyperon resonances $\Sigma (1385)$ and $\Lambda (1405)$. For this purpose we take into account the p-wave amplitudes for the meson-baryon two-body scatterings as well as the s-wave amplitudes. Due to the fact that the hyperon resonances are selectively produced from the $\bar{K} N$ channel in this reaction, the $\Lambda (1405)$ peak appears at 1420 MeV, which implies that $\Lambda (1405)$ and $\Sigma (1385)$ could be separately seen in the missing mass spectrum of the emitted nucleon in the $K^{-} d \to n X$ reaction. The $\pi Y$ invariant mass spectrum in this study is consistent with experimental data both for $\Sigma (1385)$ and $\Lambda (1405)$. The pion exchange contributions are also included and are found to give smooth background without distorting the peak structure of the hyperon resonances.