Evolution of Mixed Dirac Particles Interacting with an External Magnetic Field
arXiv:hep-ph/0701209 · doi:10.1016/j.physletb.2007.10.019
Abstract
We study in the framework of relativistic quantum mechanics the evolution of a system of two Dirac neutrinos that mix with each other and have non-vanishing magnetic moments. The dynamics of this system in an external magnetic field is determined by solving the Pauli-Dirac equation with a given initial condition. We consider first neutrino spin-flavor oscillations in a constant magnetic field and derive an analytical expression for the transition probability of spin-flavor conversion in the limit of small magnetic interactions. We then investigate ultrarelativistic neutrinos in an transversal magnetic field and derive their wave functions and transition probabilities with no limitation for the size of transition magnetic moments. Although we consider neutrinos, our formalism is straightforwardly applicable to any spin-1/2 particles.
10 pages, 1 eps figure, RevTeX4; new appendix devoted to quantum mechanical treatment of neutrino spin-flavor oscillations was added; final variant to be published in Phys. Lett. B
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Cited by in corpus (11)
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- Neutrino flavor oscillations and spin rotation in matter and electromagnetic field
- Neutrino oscillations in matter and in twisting magnetic fields
- Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field
- Spin-flavor oscillations of Dirac neutrinos in a plane electromagnetic wave
- Quantum field theory treatment of neutrino flavor oscillations in matter
- Spin-flavor oscillations of Dirac neutrinos in matter under the influence of a plane electromagnetic wave
- Neutrino flavor oscillations in background matter
- Spin-flavor oscillations of Dirac neutrinos described by relativistic quantum mechanics
- Spin rotation of neutrinos produced by compact magnetized astrophysical objects