Fermion with three mass parameters: interaction with external fields
https://doi.org/10.29235/1561-8323-2018-62-6-661-667
Abstract
In the article, using the Gelfand–Yaglom general approach, a new 20-component wave equation for spin 1/2 fermion that is characterized by three mass parameters is derived. Based on the 20-component wave function three auxiliary bispinors are determined, in the absence of an external field, these bispinors obey three separate Dirac-like equations with different masses M1 , M2 , M3 . In the presence of external electromagnetic fields, the main equation is not split into the separated equations; instead quite definite mixing of three Dirac-like equations arises. The model is extended to the curved space-time background. If the scalar space curvature differs from zero, then additional terms of geometrical interaction occur between three bispinor components. The model for fermion with three mass parameters allows for the restriction to the case of the neutral Majorana particle.
About the Authors
V. V. Kisel
Belarusian State University of Informatics and Radioelectronics, Minsk
Belarus
Ph. D. (Physics and Mathematics), Associate рrofessor
Belarus
Ph. D. (Physics and Mathematics), Associate рrofessor
V. A. Pletyukhov
Brest State University named after A. S. Pushkin, Brest
Belarus
D. Sc. (Physics and Mathematics), Professor
Belarus
D. Sc. (Physics and Mathematics), Professor
E. M. Ovsiyuk
Mozyr State Pedagogical University named after I. P. Shamyakin, Mozyr
Belarus
Ph. D. (Physics and Mathematics), Associate рrofessor
Belarus
Ph. D. (Physics and Mathematics), Associate рrofessor
Ya. A. Voynova
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
Postgraduate student
Belarus
Postgraduate student
O. V. Veko
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
Ph. D. (Physics and Mathematics), Researcher
Belarus
Ph. D. (Physics and Mathematics), Researcher
V. M. Red’kov
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
D. Sc. (Physics and Mathematics), Chief researcher
Belarus
D. Sc. (Physics and Mathematics), Chief researcher
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