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.

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

References in corpus (7)

• Electromagnetic excitation of the Delta(1232)-resonance
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• Magnetic Moments of Delta and Omega^- Baryons with Dynamical Clover Fermions
• Precision electromagnetic structure of decuplet baryons in the chiral regime
• The electromagnetic form factors of the Omega in lattice QCD
• ${\Omega }^{-}$, ${\Xi }^{\ast -}$, ${\Sigma }^{\ast -}$ and ${\Delta }^{-}$ decuplet baryon magnetic moments
• Gamma N Delta Form Factors and Wigner Rotations

Cited by in corpus (6)

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• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Transition magnetic moments of $J^P={\frac{3}{2}}^{+}$ decuplet to $J^P={\frac{1}{2}}^{+}$ octet baryons in the chiral constituent quark model
• Magnetic moments of JP = 3/2+ decuplet baryons using statistical model
• Magnetic field dependence of Delta isobars properties in a Skyrme model
• Radiative decays and the $\mathbf{SU}(6)$ Lie Algebra