$Ω^{-}$, $Ξ^{* -}$, $Σ^{* -}$ and $Δ^{-}$ decuplet baryon magnetic moments

Abstract

The properties of the ground state $U$-Spin $={3/2}$ baryon decuplet magnetic moments $Δ^{-}$, $Ξ^{* -}$, $Σ^{* -}$ and $Ω^{-}$ and their ground state spin 1/2 cousins $p$, $n$, $Λ$, $Σ^{+}$, $Σ^{0}$, $Σ^{-}$, $Ξ^{+}$, and $Ξ^{-}$ 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 $Ω^{-}$ 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.