Octet, decuplet, and antidecuplet magnetic moments in the chiral quark soliton model reexamined

Abstract

We reanalyze the magnetic moments of the baryon octet, decuplet, and antidecuplet within the framework of the chiral quark-soliton model, with SU(3) symmetry-breaking taken into account. We consider the contributions of the mixing of higher representations to the magnetic moment operator arising from the SU(3) symmetry-breaking. Dynamical parameters of the model are fixed by experimental data for the magnetic moments of the baryon octet and from the masses of the octet, decuplet and of ${\ensuremath{\Theta}}^{+}$. The magnetic moment of ${\ensuremath{\Theta}}^{+}$ depends rather strongly on the pion-nucleon sigma term and reads $\ensuremath{-}1.19\text{ }\text{ }\mathrm{n}\mathrm{m}$ to $\ensuremath{-}0.33\text{ }\text{ }\mathrm{n}\mathrm{m}$ for ${\ensuremath{\Sigma}}_{\ensuremath{\pi}N}=45$ and 75 MeV, respectively. The recently reported mass of ${\ensuremath{\Xi}}_{\overline{10}}^{--}(1862)$ is compatible with ${\ensuremath{\Sigma}}_{\ensuremath{\pi}N}=73\text{ }\text{ }\mathrm{M}\mathrm{e}\mathrm{V}$. As a by-product the strange magnetic moment of the nucleon is obtained with a value of ${\ensuremath{\mu}}_{N}^{(s)}=+0.39\text{ }\mathrm{n}\mathrm{m}$.