Neutrino spin operator and dispersion in moving matter
Department of Theoretical Physics, Moscow Institute for Physics and Technology, 141700, Dolgoprudny, Russia
2 Department of Theoretical Physics, Moscow State University, 119992, Moscow, Russia
3 Dzhelepov Laboratory of Nuclear Problems, Joint Institute for Nuclear Research, 141980, Dubna, Russia
4 Interdisciplinary Scientific and Educational School of Moscow University “Fundamental and Applied Space Research”, Moscow State University, 119992, Moscow, Russia
Accepted: 23 March 2022
Published online: 4 April 2022
We found the spin integral of motion for neutrinos propagating in moving and polarized matter. Contrary to all previous studies this is the exact spin operator commuting with the Hamiltonian for a neutrino in matter which moves in an arbitrary direction relative to the direction of neutrino propagation. The operator obtained opens up the possibility of consistent classification of neutrino states in such a medium and, as a consequence, a systematic description of the related physical phenomena. Using the operator, we obtain a dispersion relation for neutrinos in arbitrary moving matter and consider its particular cases.
© The Author(s) 2022
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