Baryon Magnetic Moments in the 1/N Expansion

Relations among the baryon magnetic and transition magnetic moments are derived in the $1\mathrm{/}{N}_c$ expansion. Relations which hold to ALL ORDERS in $SU(3)$ breaking and to leading and first subleading orders in the $1\mathrm{/}{N}_c$ expansion are obtained. Additional relations are found which are valid up to $SU(3)$ breaking at first subleading order in the $1\mathrm{/}{N}_c$ expansion. The experimental accuracy of these relations fits the pattern predicted by the $1\mathrm{/}{N}_c$ expansion. The predictions of the $1\mathrm{/}{N}_c$ expansion are compared in detail with those of the non-relativistic quark model. The $1\mathrm{/}{N}_c$ expansion explains why certain quark model relations work to greater accuracy than others.