On Nucleon Magnetic Moments

Abstract

The magnetic moments of the proton and neutron are computed for the pseudoscalar-pseudovector symmetric meson field considering the magnetic moments as the time average of the proton and the meson magnetic moments. Using the perturbation theory, the meson contribution is calculated from the self-energy of a nucleon in presence of a weak homogeneous magnetic field where the term due to meson magnetic energy was introduced from the expression for the force exerted on the emitted meson by the magnetic field. The self-energy is made finite with the idea of a fundamental length as introduced by Heisenberg and the cut-off so obtained fits exactly with that suggested by Chew in the extended-source theory. It is also found that mesons need to be present only about 25% of the time to explain the observed magnitudes of the anomalous nucleon magnetic moments.