Spin 1/2 Particle with the Anomalous Magnetic and Electric Dipole Moments, Theories with One and Three Mass Parameters

Abstract

Previously, within the Gelfand-Yaglom formalism, it was introduced a P-asymmetric wave equation for a spin 1/2 particle with the anomalous magnetic moment ; this theory describes the particle with electric dipole moment . This equation was studied in presence of external Coulomb field, but for simplicity additional interaction due to electric dipole moment was removed, so only possible manifestation of P-asymmetry was tested. It is Petras who first developed P-symmetric theory for particle with anomalous magnetic moment within the general approach by Gel'fand -Yaglom. The present paper we study solutions of equation for the P-asymmetric particle in presence of external magnetic fields. It turns out that the energy spectra are the same as for P-symmetric particle.