The magnetic moments of the ground-state baryons in the nonrelativistic free-quark model

It is shown that the assumption of the identity between the current and the constitutent quark in the nonrelativistic free-quark model does not lead to the vanishing of the anomalous magnetic moments of the nucleon but, on the contrary, it reproduces the correct ratio (-3/2) between the magnetic moments of the proton and the neutron. By pointing out the mechanism by which the above model produces this desirable result, it is then shown that identity of the current and the constituent quark in this context does not imply the identity of the SUsub(6ω), currents charges with the generator of the SUsub(6ω), constituent symmetry. An apparent contradiction between these results and one of Melosh's assertions regarding the magnetic moments of the baryons is also solved. In particular it is shown that within the framework of the nonrelativistic free-quark model our result is consistent with the Melosh transformation between the current and the constituent quark. In the same framework it is also pointed out an easy way to implement the Melosh transformation in the calculation of the hadronic-current matrix elements