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Relations between baryon magnetic moments are derived which are independent of orbital corrections, relativistic corrections, and two-body exchange corrections (and generally any two-body correction) in the quark model, provided that the wave-function contributions leading to these corrections are SU(3)-symmetric. Among the relations derived are ${μ}({{Ξ}}^{{-}})+3{μ}({{Ξ}}⁰)=6{μ}({Λ})+2{μ}({{Σ}}⁺){-}3{μ}(p){-}{μ}(n)$ (independent of quark moments) and ${μ}({{Ξ}}⁰){-}{μ}({{Ξ}}^{{-}})={μ}(p)+2{μ}(n) (if {{μ}}P={-}2{{μ}}N)$.
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Jerrold Franklin (1969) studied this question.
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