Neutrinos with mixing in twisting magnetic fields

This is the authors' abstract. We don't add key points for this paper.

Transitions in a system of neutrinos with vacuum mixing and magnetic moments propagating in matter and a transverse magnetic field are considered. It is shown that in the realistic case of a magnetic field direction varying along the neutrino path qualitatively new phenomena become possible: the permutation of neutrino conversion resonances, appearance of resonances in the neutrino-antineutrino (νlL↔νlR) transition channels, neutrino-antineutrino resonant conversion, large amplitude νlL↔νlR oscillations, merging of different resonances (triple resonances). The possible phenomenological implications of these effects are briefly discussed.