$\Lambda^*$ matter and its stability

TL;DR

This study investigates the stability of pure $ ext{Lambda}^*$ hyperon matter through calculations, finding it to be highly unstable against decay due to insufficient binding energy.

Contribution

The paper introduces a detailed calculation of $ ext{Lambda}^*$ hyperon matter's stability using interaction strengths consistent with existing models, revealing its instability.

Findings

Binding energy per $ ext{Lambda}^*$ saturates below 100 MeV for large systems.

$ ext{Lambda}^*$ matter is unstable against strong decay.

No evidence of absolutely stable $ ext{Lambda}^*$ matter found.

Abstract

We performed calculations of nuclear systems composed solely of $\Lambda^*$ hyperons, aiming at exploring the possibility of existence of absolutely stable $\Lambda^*$ matter. We considered $\Lambda^*$ interaction strengths compatible with the $\Lambda^*\Lambda^*$ binding energy $B_{\Lambda^*\Lambda^*}$ given by the $\bar{K}N$ interaction model by Yamazaki and Akaishi [1]. We found that the binding energy per $\Lambda^*$ saturates at values well below 100 MeV for mass number $A\geq120$. The $\Lambda^*$ matter is thus highly unstable against strong interaction decay.