$\Lambda^*$ matter and its stability

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.