Abstract: Starting from quantum chromodynamics, we find that aside from some terms that contribute only via the mixing of different Fock components, the baryon magnetic moment can be expressed as μB = ΣqQq/(2 < k0>q)] (2Sq-2S-q +Lq–L-q) , where < k0>q is the q flavor quark’s average relativistic energy inside the baryon, and Sq, Lq, S-q , L-q are quark and antiquark’s relativistic spin and orbital contributions to baryon spin. We demonstrate that within an error of 1/6, this expression can be parameterized as Σq[Qq/ ( 2mqeff )](2sq-2s-q), (where s is the nonrelativistic Pauli spin contribution and mqeff is of the order of the constituent quark mass) which is just what the nonrelativistic constituent quark model adopts to give a good account of octet baryon magnetic moments.
CHEN Xiang-song;QING Di;WANG Fan. Why the Constituent Quark Model Works for Baryon Magnetic Moments[J]. 中国物理快报, 1999, 16(6): 403-405.
CHEN Xiang-song, QING Di, WANG Fan. Why the Constituent Quark Model Works for Baryon Magnetic Moments. Chin. Phys. Lett., 1999, 16(6): 403-405.