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Title: Fermion with three mass parameters: general theory, interactions with external fields
Authors: Kisel, V. V.
Кисель, В. В.
Pletyukhov, V. A.
Ovsiyuk, E. M.
Voynova, Ya. A.
Veko, O. V.
Red’kov, V. M.
Keywords: публикации ученых
Lorentz group
extended sets of representations
generalized wave equation
fermion with three mass parameters
electromagnetic field
gravitational field
Issue Date: 2018
Publisher: ГНУ «Объединенный институт энергетических и ядерных исследований «Сосны» Национальной академии наук Беларуси", Республика Беларусь
Citation: Fermion with three mass parameters: general theory, interactions with external fields / Kisel V. V., Pletyukhov V. A., Ovsiyuk E. M., Voynova Ya. A., Veko O. V., Red’kov V. M. // Nonlinear Dynamics and Applications. – 2018. – Vol. 24. – P. 141-164.
Abstract: In the paper, starting from Gel’fand-Yaglom approach a new 20-component wave equation for a spin ½ fermion, which is characterized by three mass parameters, is derived. On the base of 20-component wave function, three auxiliary bispinors are introduced, they in absence of external field for three bispinors obey to three separate Dirac-lice equations with different masses. It is shown that in presence of external fields, electromagnetic field and gravitational non-Euclidean background with nob-vanishing Ricci scalar curvature, the main equation is not split into separated equations, instead a quite definite mixing of three Dirac-lice equations arises. It is shown that a generalized equation for Majorana particle with three mass parameters exists as well, such a generalized Majorana equation is not split into three separated equations in curved background if Ricci scalar of space-time model does not vanish.
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