E. Ovsiyuk, A. Safronov, A. Koral'kov, Ya. Voynova
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Fermion with three mass parameters in the uniform magnetic field
Recently, models for a spin 1/2 particle with two (or three) mass parameters were developed. Specific features of these models are as follows. For corresponding two (or three) bispinors in absence of external fields, separate Diraclike equations are derived, they differ in masses. However, in presence of external electromagnetic or gravitational fields with non-vanishing Ricci scalar, the wave equation for bispinors does not split into separated equations but makes quite a definite mixing of two (or three) equations arises. In the present paper, the model of a fermion with three mass parameters is studied in presence of the external uniform magnetics field. After performing a diagonalizing transformation, three separate equations are obtained for particles with different anomalous magnetic moments. Their exact solutions and generalized energy spectra are found
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