Mirror properties of baryon magnetic moments

Abstract

A generalization of charge symmetry, called "flavor symmetry," is applied to the constituent-quark model to relate the sum of magnetic moments of mirror pairs of baryons to quark moments. With only the added assumption that the ratio of $u$- and $d$-quark moments is - 2, the general sum rule, $\mu \left({\Sigma }^{+}\right)+\mu \left({\Xi }^0\right)-\mu \left({\Sigma }^{-}\right)-\mu \left({\Xi }^{-}\right)=2.640\mathrm{}$ nuclear magnetons, is established. Relativistic corrections are estimated to be less than 4%. Larger deviations from the sum rule would indicate electromagnetic annihilation of highly correlated pairs in the quark sea.