Nucleon magnetic moments in the quasi-potential quark model

The nucleon magnetic moments are calculated in the quasi-potential quark model. The main contribution to the nucleon magnetic moments equal to 3 and -2 (in units of the nuclear magneton) for the proton and neutron, respectively, comes from the SU(6) symmetrical spin-isospin component of the wave function. Corrections for the proton and neutron, equal to -4a/3 and +a, respectively, are caused by the relative quark motion, where the dimensionless parameter a for the oscillator forces depends on the dimensionless ratio of the oscillator rigidity to the quark mass. It is demonstrated that the independence of the nucleon magnetic moments from the nucleon mass is a consequence of relativistic kinematics. An invariant dimensionless parameter is introduced to estimate a degree of current nonconservation. With the help of this parameter, it is demonstrated that the current leakage in the model is negligibly small. ©2005 Springer Science+Business Media, Inc.