The $\Sigma\Sigma$ interactions in finite-density QCD sum rules

TL;DR

This paper investigates the interactions of Sigma hyperons in dense matter using QCD sum rules, suggesting a strong attraction that could influence strange nuclear matter and enable double-Sigma bound states.

Contribution

It applies finite-density QCD sum rules to analyze Sigma-Sigma interactions, providing new insights into hyperon potentials in dense nuclear environments.

Findings

Sigma-Sigma potential is strongly attractive, around -50 MeV or more.

Attractive interactions could lead to bound double-Sigma states.

Implications for strange nuclear matter and hyperon interactions.

Abstract

The properties of $\Sigma$-hyperons in pure $\Sigma$ matter are studied with the finite-density quantum chromo-dynamics sum rule (QCDSR) approach. The $\Sigma\Sigma$ nuclear potential $U_\Sigma$ 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 $\Sigma$-hyperons should play crucial roles in the strange nuclear matter, when there are multi-$\Sigma$ hyperons. The bound state of double-$\Sigma$ maybe exist.