Magnetic moments of the ground-state ${{\mathbf{J}}^{\mathbf{P}}=(3/2)}^{+}$ baryon decuplet

Abstract

The magnetic moment - a function of the electric charge form factor $F_1(q^2)$ and the magnetic dipole form factor $F_2(q^2)$ at zero four-momentum transfer $q^2$-of the ground-state $J^P=(3/2{)}^{+}$ baryon decuplet magnetic moments have been studied for many years with limited success. At present, only the magnetic moment of the ${\Omega }^{-}$ has been accurately determined. We calculate nonperturbatively the magnetic moments of the \emph{physical baryon decuplet $J^P=(3/2{)}^{+}$} members and in particular, we obtain ${\mu }_{{\Delta }^{++}}=(+3.67\pm 0.07){\mu }_N$, ${\mu }_{{\Delta }^{+}}=(+1.83\pm 0.04){\mu }_N$, ${\mu }_{{\Delta }^0}=(0){\mu }_N$, and the magnetic moments of their $U$-Spin partners in terms of ${\Omega }^{-}$ magnetic moment data.

Comments: 9 pages including 1 figure and 1 table. Corrected typos in Eqs.(7) and (8). Results and conclusions unchanged. arXiv admin note: repeats content from arXiv:1105.3786 and arXiv:0911.4756