$\Omega^{-}$, $\Xi^{* -}$, $\Sigma^{* -}$ and $\Delta^{-}$ decuplet baryon magnetic moments

TL;DR

This paper calculates the magnetic moments of the ground state decuplet baryons with U-spin 3/2, including $ ext{Omega}^-$, using a model-independent approach, addressing gaps in experimental data.

Contribution

It provides a model-independent calculation of the magnetic moments of decuplet baryons, especially those not yet experimentally measured.

Findings

Magnetic moments of decuplet baryons are calculated without assuming specific quark structures.

The magnetic moment of $ ext{Omega}^-$ is confirmed as accurately known.

Predictions for magnetic moments of other decuplet baryons are provided.

Abstract

The properties of the ground state $U$-Spin $={3/2}$ baryon decuplet magnetic moments $\Delta^{-}$, $\Xi^{* -}$, $\Sigma^{* -}$ and $\Omega^{-}$ and their ground state spin 1/2 cousins $p$, $n$, $\Lambda$, $\Sigma^{+}$, $\Sigma^{0}$, $\Sigma^{-}$, $\Xi^{+}$, and $\Xi^{-}$ have been studied for many years with a modicum of success. The magnetic moments of many are yet to be determined. Of the decuplet baryons, only the magnetic moment of the $\Omega^{-}$ has been accurately determined. We calculate the magnetic moments of the \emph{physical} decuplet $U$-Spin $={3/2}$ quartet members without ascribing any specific form to their quark structure or intra-quark interactions.