Impact of finite density on spectroscopic parameters of decuplet baryons

TL;DR

This paper investigates how nuclear matter affects the properties of decuplet baryons using in-medium QCD sum rules, revealing that non-strange baryons are more influenced by the medium than multi-strange ones, with implications for future experiments.

Contribution

It applies in-medium QCD sum rules to analyze the in-medium modifications of decuplet baryons, providing new insights into their behavior in nuclear matter.

Findings

$ riangle$ baryon parameters are significantly affected by the medium.

$ ext{Omega}^{-}$ baryon properties are largely unaffected by the medium.

Predictions for in-medium self energies of decuplet baryons.

Abstract

The decuplet baryons, $\Delta$, $\Sigma^{*}$, $\Xi^{*}$ and $\Omega^{-}$, are studied in nuclear matter by using the in-medium QCD sum rules. By fixing the three momentum of the particles under consideration at the rest frame of the medium, the negative energy contributions are removed. It is obtained that the parameters of the $\Delta$ baryon are more affected by the medium against the $\Omega^{-}$ state, containing three strange quarks, whose mass and residue do not affected by the medium, considerably. We also find the vector and scalar self energies of these baryons in nuclear matter. By the recent progresses at $\bar{P}$ANDA experiment at FAIR and NICA facility it may be possible to study the in-medium properties of such states even the multi-strange $\Xi^{*}$ and $\Omega^{-}$ systems in near future.