The $ΣΣ$ interactions in finite-density QCD sum rules

Abstract

The properties of $Σ$-hyperons in pure $Σ$ matter are studied with the finite-density quantum chromo-dynamics sum rule (QCDSR) approach. The $ΣΣ$ nuclear potential $U_Σ$ is most likely strongly attractive, it could be about -50 MeV or even more attractive at normal nuclear density. If this prediction is the case, the interactions between $Σ$-hyperons should play crucial roles in the strange nuclear matter, when there are multi-$Σ$ hyperons. The bound state of double-$Σ$ maybe exist.

Latex, 9 pages with 10 figures