Abstract

The anomalous magnetic moments nucleons are calculated, based upon the same standpoint as was employed in our previous work on pion·nucleon scatterings, where the Rarita-Schwinger field representing nucleon isobars is introduced and the charge independent interaction is assumed. In this paper we assume a3 the interaction Hamiltonian with external magnetic field the interaction energy of normal magnetic moments of nucleons and isobars with exte~nal magnetic field. Comparisons are made of our results with those of the covariaht calculations in jJs-js theory, which clarify the validity of our non-relativistic calculations and it is shown that the usual covariant perturbation calculation would not be able to explain the anomalous magnetic moments of nucleons if the damping effect of nucleon pair creation and annihilation processes could be well taken into accounts. As a conclusion, the anomalous mOments seem to be explained for the first time by the introduction of nucleon isobars, which seem to have to be described as if they were purely the elementary particles of spin 3/2.

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