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Neutrino spin oscillations in matter under the influence of gravitational and electromagnetic fields

Maxim Dvornikova,b

aInstitute of Physics, University of Sa ̃o Paulo, CP 66318, CEP 05315-970 Sa ̃o Paulo, SP, Brazil

bPushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMI- RAN), 142190 Moscow, Troitsk, Russia


Abstract. We derive the new quasi-classical equation for the description of the spin evo- lution of a neutrino propagating in a curved space-time and interacting with a background matter and an external electromagnetic field. This equation is used to analyze neutrino spin oscillations in these external backgrounds. We obtain the effective Hamiltonian and the tran- sition probability for oscillations of neutrinos when they move in the vicinity of a rotating black hole, surrounded by an accretion disk, and interact with an external magnetic field. The appearance of new resonances in neutrino spin oscillations in this system is considered. The approximate treatment of spin oscillations of radially propagating ultra high energy neutrinos is developed. We also discuss the applications of our results to the description of neutrino spin oscillations in realistic astrophysical media.

Keywords: neutrino theory, GR black holes, magnetic fields, accretion

arXiv:1306.2659v1 [hep-ph] 11 Jun 2013

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