Evolution of Mixed Dirac Particles Interacting with an External Magnetic Field

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dc.creatorDvornikov, Maxim
dc.creatorMaalampi, Jukka
dc.date2007-01-24
dc.date2007-10-10
dc.date.accessioned2026-07-07T11:02:38Z
dc.date.available2026-07-07T11:02:38Z
dc.descriptionWe 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.
dc.description10 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
dc.identifierhttps://arxiv.org/abs/hep-ph/0701209
dc.identifierhttp://arxiv.org/abs/hep-ph/0701209
dc.identifierPhys.Lett.B657:217-227,2007
dc.identifierdoi:10.1016/j.physletb.2007.10.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188315
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleEvolution of Mixed Dirac Particles Interacting with an External Magnetic Field
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