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

Abstract

The properties of the ground state $U$-Spin $=3/2$ baryon decuplet magnetic moments ${\Delta }^{-}$, ${\Xi }^{\ast -}$, ${\Sigma }^{\ast -}$ 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.

Comments: 11 pages.V5 "This research" column of Table I. modified as all results must be in nuclear magneton units. In Eq.~(35), factor $(m/m_{{\Omega }^{-}})$ replaced with $(m/m_{{\Delta }^{-}})$. ${\mu }_{{\Delta }^{-}}$ . Next two paragraphs after Eq.~(35)now read ${\mu }_{{\Delta }^{-}}=(-1.83\pm 0.04){\mu }_N$.Corrected Table I. is reported. Mass units reported as $GeV/c$ now read $GeV/c^2$. Conclusions unchanged