Baryon magnetic moments in a simultaneous expansion in 1/Nandms

We consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in ${\mathit{m}}_{\mathit{s}}$ and 1/N taking ${\mathit{N}}_{\mathit{F}}$/N∼1, where N is the number of QCD colors and ${\mathit{N}}_{\mathit{F}}$ is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the nonrelativistic quark-model relations. We compute corrections to these relations using an effective Lagrangian formalism which respects chiral symmetry to all orders in the 1/N expansion. Including corrections up to order ${\mathit{m}}_{\mathit{s}}^{1/2}$, we find eight relations among the nine measured octet and decuplet magnetic moments; including corrections up to order 1/N and ${\mathit{m}}_{\mathit{s}}$, we find four remaining relations. The relations work well, and suggest that the expansion is under control. We give predictions for the unmeasured magnetic moments.