Flavor structure of the octet magnetic moments

We use the chiral quark-soliton model to identify all symmetry-breaking terms linear in $m_{\mathrm{s}}$ and investigate the strange magnetic moment in a “model-independent” way. Assuming hedgehog symmetry and employing the collective quantization, we obtain the most general expression for the flavor-singlet and flavor-octet magnetic moments in terms of seven independent parameters. Having fitted these parameters to the experimental magnetic moments of the octet baryons, we show that the strange magnetic moment turns out to be positive. The best fit obtained by minimizing ${\chi }^2,$ assuming 15% theoretical accuracy, yields ${\mathrm{\mu }}_{\mathrm{N}}^{\mathrm{}\left(\mathrm{s}\right)\mathrm{}}{=(0.41\mathrm{}\pm 0.18)\mathrm{\mu }}_{\mathrm{N}}.$