The impossibility of the existence of Majorana spinors as physical particles
Автор: Monakhov V.V.
Журнал: Пространство, время и фундаментальные взаимодействия @stfi
Рубрика: Гравитация, космология и фундаментальные поля
Статья в выпуске: 3-4 (44-45), 2023 года.
Бесплатный доступ
Majorana spinors play an important role in modern physical theories. Most of the neutrino mass generation mechanisms are based on the presence of the Majorana mass term in the Lagrangian. In particular, the seesaw mechanism of neutrino mass generation. Majorana solutions of the Dirac equation exist. However, we have proven that Majorana spinor mass term of the Lagrangian is equal to zero. We have proven that Majorana solutions have zero energy and momentum for both the massive and massless cases. This means that Majorana spinors cannot correspond to physically existing particles.
Neutrino mass, majorana spinors, majorana fermions, majorana mass
Короткий адрес: https://sciup.org/142240468
IDR: 142240468 | DOI: 10.17238/issn2226-8812.2023.3-4.211-217
Список литературы The impossibility of the existence of Majorana spinors as physical particles
- Majorana E. Teoria simmetrica dell'elettrone e del positrone. Il Nuovo Cimento, 1937, no. 14, pp. 171-184.
- Workman R.L. et al. (Particle Data Group) Neutrino masses, mixing and oscillations. Prog. Theor. Exp. Phys., 2022, 083C01.
- Mannheim P.D. Introduction to Majorana masses. Int. J. of Theor. Phys., 1984, 23, pp. 643-674. EDN: LWFIRJ
- Monakhov V. Majorana Mass Term of Majorana Spinors. Physical Sciences Forum, 2023, 7, no. 1,. DOI: 10.3390/ECU2023-14016
- Pal P.B. Dirac, Majorana, and Weyl fermions. American J. of Physics, 2011, 79, pp. 485-498.
- Bjorken J.D., Drell S.D. Relativistic quantum fields. N.Y., Mcgraw-Hill College, 1965, 396 p.
- Lounesto P. Clifford Algebras and Spinors, 2nd ed. Cambridge, Cambridge University Press, 2001, 346 p.
- Kramers H.A. The use of charge-conjugated wave-functions in the hole-theory of the electron. Proc. Kon. Neer. Akad. Wet., 1937, 40, pp. 814-823.
- Weinberg S. The Quantum Theory of Fields - Foundations (Vol. 1) Cambridge, Cambridge University Press, 1995, 609 p.
- Schwinger J. Quantum electrodynamics. I. A covariant formulation. Phys. Rev., 1948, 74, no. 10, pp. 1439-1461.
